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10140237342 = 2334167197347
BaseRepresentation
bin10010111000110011…
…11011111000011110
3222011200122102121000
421130121323320132
5131231400043332
64354112251130
7506166411114
oct113431737036
928150572530
1010140237342
114333999444
121b6bb40aa6
13c57a7b851
146c2a29ab4
153e535eb7c
hex25c67be1e

10140237342 has 128 divisors (see below), whose sum is σ = 23614778880. Its totient is φ = 3222616320.

The previous prime is 10140237329. The next prime is 10140237389. The reversal of 10140237342 is 24373204101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29222413 + ... + 29222759.

It is an arithmetic number, because the mean of its divisors is an integer number (184490460).

Almost surely, 210140237342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140237342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11807389440).

10140237342 is an abundant number, since it is smaller than the sum of its proper divisors (13474541538).

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

10140237342 is a wasteful number, since it uses less digits than its factorization.

10140237342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10140237342 in words is "ten billion, one hundred forty million, two hundred thirty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 67 82 123 134 197 201 246 347 369 394 402 591 603 694 738 1041 1107 1182 1206 1773 1809 2082 2214 2747 3123 3546 3618 5319 5494 6246 8077 8241 9369 10638 13199 14227 16154 16482 18738 23249 24231 24723 26398 28454 39597 42681 46498 48462 49446 68359 69747 72693 74169 79194 85362 118791 128043 136718 139494 145386 148338 205077 209241 218079 237582 256086 356373 384129 410154 418482 436158 541159 615231 627723 712746 768258 953209 1082318 1230462 1255446 1623477 1845693 1906418 2802719 2859627 3246954 3691386 4580053 4870431 5605438 5719254 8408157 8578881 9160106 9740862 13740159 14611293 16816314 17157762 25224471 25736643 27480318 29222586 41220477 50448942 51473286 75673413 82440954 123661431 151346826 187782173 247322862 375564346 563346519 1126693038 1690039557 3380079114 5070118671 10140237342