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142377372072 = 2332131131346129
BaseRepresentation
bin1000010010011001011…
…0100100100110101000
3111121111112010220010200
42010212112210212220
54313042101401242
6145223545112200
713200146460135
oct2044626444650
9447445126120
10142377372072
1155422350a51
1223715a88660
1310570287330
146c6927b58c
153a847c804c
hex21265a49a8

142377372072 has 96 divisors (see below), whose sum is σ = 418942578600. Its totient is φ = 43420704768.

The previous prime is 142377372031. The next prime is 142377372073. The reversal of 142377372072 is 270273773241.

142377372072 is a `hidden beast` number, since 1 + 42 + 377 + 37 + 207 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104583679236 + 37793692836 = 323394^2 + 194406^2 .

It is a super-3 number, since 3×1423773720723 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (142377372073) 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, 567297 + ... + 778832.

Almost surely, 2142377372072 is an apocalyptic number.

142377372072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142377372072 is an abundant number, since it is smaller than the sum of its proper divisors (276565206528).

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

142377372072 is a wasteful number, since it uses less digits than its factorization.

142377372072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346267 (or 1346260 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 142377372072 in words is "one hundred forty-two billion, three hundred seventy-seven million, three hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 156 226 234 312 339 452 468 678 904 936 1017 1356 1469 2034 2712 2938 4068 4407 5876 8136 8814 11752 13221 17628 26442 35256 52884 105768 1346129 2692258 4038387 5384516 8076774 10769032 12115161 16153548 17499677 24230322 32307096 34999354 48460644 52499031 69998708 96921288 104998062 139997416 152112577 157497093 209996124 304225154 314994186 419992248 456337731 608450308 629988372 912675462 1216900616 1259976744 1369013193 1825350924 1977463501 2738026386 3650701848 3954927002 5476052772 5932390503 7909854004 10952105544 11864781006 15819708008 17797171509 23729562012 35594343018 47459124024 71188686036 142377372072