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14001212323140 = 22357122267272651
BaseRepresentation
bin1100101110111110100101…
…0010010111010101000100
31211120111120120010100110120
43023233221102113111010
53313343440323320030
645440022415221540
72643361044052260
oct313575122272504
954514516110416
1014001212323140
114508976388a39
1216a16418178b0
137a7402171513
1436593b4890a0
1519430c570010
hexcbbe9497544

14001212323140 has 96 divisors (see below), whose sum is σ = 44804410205184. Its totient is φ = 3200239190400.

The previous prime is 14001212323139. The next prime is 14001212323201. The reversal of 14001212323140 is 4132321210041.

It is a self number, because there is not a number n which added to its sum of digits gives 14001212323140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51215815 + ... + 51488465.

It is an arithmetic number, because the mean of its divisors is an integer number (466712606304).

Almost surely, 214001212323140 is an apocalyptic number.

14001212323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001212323140 is an abundant number, since it is smaller than the sum of its proper divisors (30803197882044).

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

14001212323140 is a wasteful number, since it uses less digits than its factorization.

14001212323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394937 (or 394935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14001212323140 its reverse (4132321210041), we get a palindrome (18133533533181).

The spelling of 14001212323140 in words is "fourteen trillion, one billion, two hundred twelve million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 122267 244534 272651 366801 489068 545302 611335 733602 817953 855869 1090604 1222670 1363255 1467204 1635906 1711738 1834005 1908557 2445340 2567607 2726510 3271812 3423476 3668010 3817114 4089765 4279345 5135214 5453020 5725671 7336020 7634228 8179530 8558690 9542785 10270428 11451342 12838035 16359060 17117380 19085570 22902684 25676070 28628355 38171140 51352140 57256710 114513420 33336219817 66672439634 100008659451 133344879268 166681099085 200017318902 233353538719 333362198170 400034637804 466707077438 500043297255 666724396340 700060616157 933414154876 1000086594510 1166767693595 1400121232314 2000173189020 2333535387190 2800242464628 3500303080785 4667070774380 7000606161570 14001212323140