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142001421132 = 223596714332089
BaseRepresentation
bin1000010000111111110…
…0011011101101001100
3111120112022201121101210
42010033330123231030
54311304330434012
6145122355134420
713154633110224
oct2041774335514
9446468647353
10142001421132
115524a11149a
122362bba4410
131051041615c
146c31377084
153a617b523c
hex210ff1bb4c

142001421132 has 96 divisors (see below), whose sum is σ = 342384134400. Its totient is φ = 45783124992.

The previous prime is 142001421119. The next prime is 142001421173. The reversal of 142001421132 is 231124100241.

It is a super-3 number, since 3×1420014211323 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 142001421099 and 142001421108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67974744 + ... + 67976832.

It is an arithmetic number, because the mean of its divisors is an integer number (3566501400).

Almost surely, 2142001421132 is an apocalyptic number.

142001421132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142001421132 is an abundant number, since it is smaller than the sum of its proper divisors (200382713268).

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

142001421132 is a wasteful number, since it uses less digits than its factorization.

142001421132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 142001421132 its reverse (231124100241), we get a palindrome (373125521373).

The spelling of 142001421132 in words is "one hundred forty-two billion, one million, four hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 67 118 134 177 201 236 268 354 402 708 804 1433 2089 2866 3953 4178 4299 5732 6267 7906 8356 8598 11859 12534 15812 17196 23718 25068 47436 84547 96011 123251 139963 169094 192022 246502 253641 279926 288033 338188 369753 384044 419889 493004 507282 559852 576066 739506 839778 1014564 1152132 1479012 1679556 2993537 5664649 5987074 8257817 8980611 11329298 11974148 16515634 16993947 17961222 22658596 24773451 33031268 33987894 35922444 49546902 67975788 99093804 176618683 200566979 353237366 401133958 529856049 601700937 706474732 802267916 1059712098 1203401874 2119424196 2406803748 11833451761 23666903522 35500355283 47333807044 71000710566 142001421132