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141430120331310 = 23253751679821833
BaseRepresentation
bin100000001010000101000100…
…000101010011100000101110
3200112202120212020221200222100
4200022011010011103200232
5122014142341301100220
61220444033400555530
741534663140366116
oct4012050405234056
9615676766850870
10141430120331310
11410781a4940228
1213a42131182ba6
1360bba595c1305
1426cd37bd06046
151153dc6ae3d90
hex80a14415382e

141430120331310 has 96 divisors (see below), whose sum is σ = 377664412919040. Its totient is φ = 36694627858944.

The previous prime is 141430120331299. The next prime is 141430120331327. The reversal of 141430120331310 is 13133021034141.

141430120331310 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 0 + 12 + 0 + 331 + 310 = 666.

It is a super-2 number, since 2×1414301203313102 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171680154 + ... + 172501986.

It is an arithmetic number, because the mean of its divisors is an integer number (3934004301240).

Almost surely, 2141430120331310 is an apocalyptic number.

141430120331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

141430120331310 is an abundant number, since it is smaller than the sum of its proper divisors (236234292587730).

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

141430120331310 is a wasteful number, since it uses less digits than its factorization.

141430120331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873562 (or 873559 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 141430120331310 its reverse (13133021034141), we get a palindrome (154563141365451).

The spelling of 141430120331310 in words is "one hundred forty-one trillion, four hundred thirty billion, one hundred twenty million, three hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 51679 103358 155037 258395 310074 465111 516790 775185 821833 930222 1550370 1643666 1912123 2325555 2465499 3824246 4109165 4651110 4930998 5736369 7396497 8218330 9560615 11472738 12327495 14792994 17209107 19121230 24654990 28681845 30407821 34418214 36982485 57363690 60815642 73964970 86045535 91223463 152039105 172091070 182446926 273670389 304078210 456117315 547340778 912234630 1368351945 2736703890 42471507607 84943015214 127414522821 212357538035 254829045642 382243568463 424715076070 637072614105 764487136926 1274145228210 1571445781459 1911217842315 3142891562918 3822435684630 4714337344377 7857228907295 9428674688754 14143012033131 15714457814590 23571686721885 28286024066262 47143373443770 70715060165655 141430120331310