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145121013114 = 2371129101107243
BaseRepresentation
bin1000011100100111100…
…0101110110101111010
3111212120201210022002120
42013021320232311322
54334201434404424
6150400114542110
713325143154460
oct2071170566572
9455521708076
10145121013114
1156600035090
1224160897936
13108b981097c
1470497d0830
153b955cda79
hex21c9e2ed7a

145121013114 has 128 divisors (see below), whose sum is σ = 378047969280. Its totient is φ = 36033312000.

The previous prime is 145121013073. The next prime is 145121013137. The reversal of 145121013114 is 411310121541.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299577 + ... + 1406819.

It is an arithmetic number, because the mean of its divisors is an integer number (2953499760).

Almost surely, 2145121013114 is an apocalyptic number.

145121013114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145121013114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189023984640).

145121013114 is an abundant number, since it is smaller than the sum of its proper divisors (232926956166).

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

145121013114 is a wasteful number, since it uses less digits than its factorization.

145121013114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107396.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 145121013114 its reverse (411310121541), we get a palindrome (556431134655).

The spelling of 145121013114 in words is "one hundred forty-five billion, one hundred twenty-one million, thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 101 154 174 202 203 231 303 319 406 462 606 609 638 707 957 1111 1218 1414 1914 2121 2222 2233 2929 3333 4242 4466 5858 6666 6699 7777 8787 13398 15554 17574 20503 23331 32219 41006 46662 61509 64438 96657 107243 123018 193314 214486 225533 321729 451066 643458 676599 750701 1179673 1353198 1501402 2252103 2359346 3110047 3539019 4504206 6220094 7078038 8257711 9330141 10831543 16515422 18660282 21663086 21770329 24773133 32494629 34210517 43540658 49546266 64989258 65310987 68421034 75820801 102631551 119146973 130621974 151641602 205263102 227462403 238293946 239473619 314114747 357440919 454924806 478947238 628229494 714881838 718420857 834028811 942344241 1436841714 1668057622 1884688482 2198803229 2502086433 3455262217 4397606458 5004172866 6596409687 6910524434 10365786651 13192819374 20731573302 24186835519 48373671038 72560506557 145121013114