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142430037246 = 23273227101627
BaseRepresentation
bin1000010010100101111…
…1011110010011111110
3111121122012020120011200
42010221133132103332
54313144042142441
6145233110000330
713201356225000
oct2045137362376
9447565216150
10142430037246
115544a052092
122372b6460a6
131057b166863
146c7226a370
153a8922c7b6
hex21297de4fe

142430037246 has 96 divisors (see below), whose sum is σ = 361470470400. Its totient is φ = 40514627664.

The previous prime is 142430037133. The next prime is 142430037271. The reversal of 142430037246 is 642730034241.

142430037246 is a `hidden beast` number, since 1 + 4 + 243 + 0 + 0 + 372 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 142430037246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350685 + ... + 1452311.

It is an arithmetic number, because the mean of its divisors is an integer number (3765317400).

Almost surely, 2142430037246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142430037246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180735235200).

142430037246 is an abundant number, since it is smaller than the sum of its proper divisors (219040433154).

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

142430037246 is a wasteful number, since it uses less digits than its factorization.

142430037246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101883 (or 101866 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 142430037246 in words is "one hundred forty-two billion, four hundred thirty million, thirty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 227 294 343 441 454 681 686 882 1029 1362 1589 2043 2058 3087 3178 4086 4767 6174 9534 11123 14301 22246 28602 33369 66738 77861 100107 101627 155722 200214 203254 233583 304881 467166 609762 700749 711389 914643 1401498 1422778 1829286 2134167 4268334 4979723 6402501 9959446 12805002 14939169 23069329 29878338 34858061 44817507 46138658 69207987 69716122 89635014 104574183 138415974 161485303 207623961 209148366 313722549 322970606 415247922 484455909 627445098 968911818 1130397121 1453367727 2260794242 2906735454 3391191363 6782382726 7912779847 10173574089 15825559694 20347148178 23738339541 47476679082 71215018623 142430037246