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141444130020120 = 233251723111785951
BaseRepresentation
bin100000001010010010000111…
…001000000001101100011000
3200112210221000121122122002200
4200022102013020001230120
5122014410034241120440
61220454311501130200
741536000253646654
oct4012220710015430
9615727017578080
10141444130020120
1141083133a56844
1213a449a0b59960
1360c017cc131c5
1426cdd0a7c1a64
1511544469dcc30
hex80a487201b18

141444130020120 has 96 divisors (see below), whose sum is σ = 486734212149120. Its totient is φ = 35499703219200.

The previous prime is 141444130020077. The next prime is 141444130020121. The reversal of 141444130020120 is 21020031444141.

141444130020120 is a `hidden beast` number, since 1 + 4 + 1 + 44 + 413 + 0 + 0 + 201 + 2 + 0 = 666.

It is a super-2 number, since 2×1414441300201202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141444130020121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11555886856 + ... + 11555899095.

It is an arithmetic number, because the mean of its divisors is an integer number (5070148043220).

Almost surely, 2141444130020120 is an apocalyptic number.

141444130020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141444130020120 is an abundant number, since it is smaller than the sum of its proper divisors (345290082129000).

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

141444130020120 is a wasteful number, since it uses less digits than its factorization.

141444130020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23111785985 (or 23111785978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141444130020120 its reverse (21020031444141), we get a palindrome (162464161464261).

The spelling of 141444130020120 in words is "one hundred forty-one trillion, four hundred forty-four billion, one hundred thirty million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 23111785951 46223571902 69335357853 92447143804 115558929755 138670715706 184894287608 208006073559 231117859510 277341431412 346676789265 392900361167 416012147118 462235719020 554682862824 693353578530 785800722334 832024294236 924471438040 1040030367795 1178701083501 1386707157060 1571601444668 1664048588472 1964501805835 2080060735590 2357402167002 2773414314120 3143202889336 3536103250503 3929003611670 4160121471180 4714804334004 5893505417505 7072206501006 7858007223340 8320242942360 9429608668008 11787010835010 14144413002012 15716014446680 17680516252515 23574021670020 28288826004024 35361032505030 47148043340040 70722065010060 141444130020120