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35140451052 = 22371741214639
BaseRepresentation
bin100000101110100010…
…001011101011101100
310100200222221212120010
4200232202023223230
51033431423413202
624050541453220
72352545622420
oct405642135354
9110628855503
1035140451052
11139a2960a93
126988571210
13341035b405
1419b502ab80
15daa07576c
hex82e88baec

35140451052 has 144 divisors (see below), whose sum is σ = 101706071040. Its totient is φ = 9218426880.

The previous prime is 35140450973. The next prime is 35140451063. The reversal of 35140451052 is 25015404153.

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 47 ways as a sum of consecutive naturals, for example, 2393149 + ... + 2407787.

It is an arithmetic number, because the mean of its divisors is an integer number (706292160).

Almost surely, 235140451052 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 35140451052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50853035520).

35140451052 is an abundant number, since it is smaller than the sum of its proper divisors (66565619988).

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

35140451052 is a wasteful number, since it uses less digits than its factorization.

35140451052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14752 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 35140451052 in words is "thirty-five billion, one hundred forty million, four hundred fifty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 574 697 714 861 1148 1394 1428 1681 1722 2091 2788 3362 3444 4182 4879 5043 6724 8364 9758 10086 11767 14637 14639 19516 20172 23534 28577 29274 29278 35301 43917 47068 57154 58548 58556 70602 85731 87834 102473 114308 141204 171462 175668 200039 204946 248863 307419 342924 400078 409892 497726 600117 600199 614838 746589 800156 995452 1200234 1200398 1229676 1493178 1742041 1800597 2400468 2400796 2986356 3484082 3601194 4201393 5226123 6968164 7202388 8402786 10203383 10452246 12604179 16805572 20406766 20904492 24608159 25208358 30610149 40813532 49216318 50416716 61220298 71423681 73824477 98432636 122440596 142847362 147648954 172257113 214271043 285694724 295297908 344514226 418338703 428542086 516771339 689028452 836677406 857084172 1033542678 1255016109 1673354812 2067085356 2510032218 2928370921 5020064436 5856741842 8785112763 11713483684 17570225526 35140451052