Search a number
-
+
240200202231440 = 245114119134855673
BaseRepresentation
bin110110100111010111110111…
…101110101001111010010000
31011111110220201002101011202122
4312213113313232221322100
5222440420003232401230
62210510241034233412
7101410614634305353
oct6647276756517220
91144426632334678
10240200202231440
116a598374176040
1222b344a9885868
13a404a21a31689
144345a74dc429a
151cb8259d7abe5
hexda75f7ba9e90

240200202231440 has 160 divisors (see below), whose sum is σ = 627361978263552. Its totient is φ = 84768994304000.

The previous prime is 240200202231403. The next prime is 240200202231469. The reversal of 240200202231440 is 44132202002042.

It is a super-2 number, since 2×2402002022314402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10536557 + ... + 24319116.

Almost surely, 2240200202231440 is an apocalyptic number.

240200202231440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240200202231440 is an abundant number, since it is smaller than the sum of its proper divisors (387161776032112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240200202231440 is a wasteful number, since it uses less digits than its factorization.

240200202231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34855929 (or 34855923 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 240200202231440 its reverse (44132202002042), we get a palindrome (284332404233482).

The spelling of 240200202231440 in words is "two hundred forty trillion, two hundred billion, two hundred two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 191 205 220 328 382 410 440 451 656 764 820 880 902 955 1528 1640 1804 1910 2101 2255 3056 3280 3608 3820 4202 4510 7216 7640 7831 8404 9020 10505 15280 15662 16808 18040 21010 31324 33616 36080 39155 42020 62648 78310 84040 86141 125296 156620 168080 172282 313240 344564 430705 626480 689128 861410 1378256 1722820 3445640 6891280 34855673 69711346 139422692 174278365 278845384 348556730 383412403 557690768 697113460 766824806 1394226920 1429082593 1533649612 1917062015 2788453840 2858165186 3067299224 3834124030 5716330372 6134598448 6657433543 7145412965 7668248060 11432660744 13314867086 14290825930 15336496120 15719908523 22865321488 26629734172 28581651860 30672992240 31439817046 33287167715 53259468344 57163303720 62879634092 66574335430 73231768973 78599542615 106518936688 114326607440 125759268184 133148670860 146463537946 157199085230 251518536368 266297341720 272954775263 292927075892 314398170460 366158844865 532594683440 545909550526 585854151784 628796340920 732317689730 1091819101052 1171708303568 1257592681840 1364773876315 1464635379460 2183638202104 2729547752630 2929270758920 3002502527893 4367276404208 5459095505260 5858541517840 6005005055786 10918191010520 12010010111572 15012512639465 21836382021040 24020020223144 30025025278930 48040040446288 60050050557860 120100101115720 240200202231440