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142130536296 = 23375367238247
BaseRepresentation
bin1000010001011110100…
…0111101111101101000
3111120212022200100002220
42010113220331331220
54312040404130141
6145143250354040
713161061424250
oct2042750757550
9446768610086
10142130536296
1155305a89641
122366728b920
13105310b1c68
146c44586960
153a6ccbb766
hex2117a3df68

142130536296 has 128 divisors (see below), whose sum is σ = 419926394880. Its totient is φ = 39247693056.

The previous prime is 142130536267. The next prime is 142130536297. The reversal of 142130536296 is 692635031241.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (142130536297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477445 + ... + 715691.

It is an arithmetic number, because the mean of its divisors is an integer number (3280674960).

Almost surely, 2142130536296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142130536296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209963197440).

142130536296 is an abundant number, since it is smaller than the sum of its proper divisors (277795858584).

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

142130536296 is a wasteful number, since it uses less digits than its factorization.

142130536296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238383 (or 238379 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 142130536296 in words is "one hundred forty-two billion, one hundred thirty million, five hundred thirty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 67 84 106 134 159 168 201 212 268 318 371 402 424 469 536 636 742 804 938 1113 1272 1407 1484 1608 1876 2226 2814 2968 3551 3752 4452 5628 7102 8904 10653 11256 14204 21306 24857 28408 42612 49714 74571 85224 99428 149142 198856 238247 298284 476494 596568 714741 952988 1429482 1667729 1905976 2858964 3335458 5003187 5717928 6670916 10006374 12627091 13341832 15962549 20012748 25254182 31925098 37881273 40025496 47887647 50508364 63850196 75762546 88389637 95775294 101016728 111737843 127700392 151525092 176779274 191550588 223475686 265168911 303050184 335213529 353558548 383101176 446951372 530337822 670427058 707117096 846015097 893902744 1060675644 1340854116 1692030194 2121351288 2538045291 2681708232 3384060388 5076090582 5922105679 6768120776 10152181164 11844211358 17766317037 20304362328 23688422716 35532634074 47376845432 71065268148 142130536296