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142264683456 = 2637711490869
BaseRepresentation
bin1000010001111110100…
…0101100101111000000
3111121012200002201102020
42010133220230233000
54312324224332311
6145204441521440
713164310566660
oct2043750545700
9447180081366
10142264683456
1155374783365
12236a41a3280
1310552b2028c
146c583061a0
153a79968c06
hex211fa2cbc0

142264683456 has 112 divisors (see below), whose sum is σ = 436240488960. Its totient is φ = 40074531840.

The previous prime is 142264683443. The next prime is 142264683601. The reversal of 142264683456 is 654386462241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1422646834563 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 142264683399 and 142264683408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650011 + ... + 840858.

Almost surely, 2142264683456 is an apocalyptic number.

142264683456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142264683456 is an abundant number, since it is smaller than the sum of its proper divisors (293975805504).

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

142264683456 is a wasteful number, since it uses less digits than its factorization.

142264683456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490962 (or 1490952 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The spelling of 142264683456 in words is "one hundred forty-two billion, two hundred sixty-four million, six hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 568 672 852 994 1136 1344 1491 1704 1988 2272 2982 3408 3976 4544 5964 6816 7952 11928 13632 15904 23856 31808 47712 95424 1490869 2981738 4472607 5963476 8945214 10436083 11926952 17890428 20872166 23853904 31308249 35780856 41744332 47707808 62616498 71561712 83488664 95415616 105851699 125232996 143123424 166977328 211703398 250465992 286246848 317555097 333954656 423406796 500931984 635110194 667909312 740961893 846813592 1001863968 1270220388 1481923786 1693627184 2003727936 2222885679 2540440776 2963847572 3387254368 4445771358 5080881552 5927695144 6774508736 8891542716 10161763104 11855390288 17783085432 20323526208 23710780576 35566170864 47421561152 71132341728 142264683456