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141223210272 = 25324325145433
BaseRepresentation
bin1000001110000110001…
…1110010110100100000
3111111112002101101210100
42003201203302310200
54303211120212042
6144513235302400
713126433324004
oct2034143626440
9444462341710
10141223210272
115498a903121
122345344aa00
1310418121b61
146b99c80704
153a182e424c
hex20e18f2d20

141223210272 has 144 divisors (see below), whose sum is σ = 412589425248. Its totient is φ = 45795456000.

The previous prime is 141223210231. The next prime is 141223210273. The reversal of 141223210272 is 272012322141.

It is a happy number.

141223210272 is a `hidden beast` number, since 1 + 412 + 232 + 10 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (141223210273) 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, 3085668 + ... + 3131100.

It is an arithmetic number, because the mean of its divisors is an integer number (2865204342).

Almost surely, 2141223210272 is an apocalyptic number.

141223210272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141223210272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206294712624).

141223210272 is an abundant number, since it is smaller than the sum of its proper divisors (271366214976).

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

141223210272 is a wasteful number, since it uses less digits than its factorization.

141223210272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45743 (or 45732 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 141223210272 in words is "one hundred forty-one billion, two hundred twenty-three million, two hundred ten thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 251 258 288 344 387 502 516 688 753 774 1004 1032 1376 1506 1548 2008 2064 2259 3012 3096 4016 4128 4518 6024 6192 8032 9036 10793 12048 12384 18072 21586 24096 32379 36144 43172 45433 64758 72288 86344 90866 97137 129516 136299 172688 181732 194274 259032 272598 345376 363464 388548 408897 518064 545196 726928 777096 817794 1036128 1090392 1453856 1554192 1635588 1953619 2180784 3108384 3271176 3907238 4361568 5860857 6542352 7814476 11403683 11721714 13084704 15628952 17582571 22807366 23443428 31257904 34211049 35165142 45614732 46886856 62515808 68422098 70330284 91229464 93773712 102633147 136844196 140660568 182458928 187547424 205266294 273688392 281321136 364917856 410532588 490358369 547376784 562642272 821065176 980716738 1094753568 1471075107 1642130352 1961433476 2942150214 3284260704 3922866952 4413225321 5884300428 7845733904 8826450642 11768600856 15691467808 17652901284 23537201712 35305802568 47074403424 70611605136 141223210272