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40135451112 = 23324315782571
BaseRepresentation
bin100101011000010000…
…100110000111101000
310211121002221011111100
4211120100212013220
51124144133413422
630234334001400
72620410464001
oct453020460750
9124532834440
1040135451112
1116026463509
127941346260
133a28159253
141d2a58a1a8
15109d8407ac
hex9584261e8

40135451112 has 96 divisors (see below), whose sum is σ = 111937906080. Its totient is φ = 12983967360.

The previous prime is 40135451051. The next prime is 40135451171. The reversal of 40135451112 is 21115453104.

40135451112 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 545 + 1 + 112 = 666.

It is a super-2 number, since 2×401354511122 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444787 + ... + 527357.

It is an arithmetic number, because the mean of its divisors is an integer number (1166019855).

Almost surely, 240135451112 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 40135451112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55968953040).

40135451112 is an abundant number, since it is smaller than the sum of its proper divisors (71802454968).

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

40135451112 is a wasteful number, since it uses less digits than its factorization.

40135451112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82783 (or 82776 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 40135451112 in words is "forty billion, one hundred thirty-five million, four hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 157 172 258 314 344 387 471 516 628 774 942 1032 1256 1413 1548 1884 2826 3096 3768 5652 6751 11304 13502 20253 27004 40506 54008 60759 81012 82571 121518 162024 165142 243036 247713 330284 486072 495426 660568 743139 990852 1486278 1981704 2972556 3550553 5945112 7101106 10651659 12963647 14202212 21303318 25927294 28404424 31954977 38890941 42606636 51854588 63909954 77781882 85213272 103709176 116672823 127819908 155563764 233345646 255639816 311127528 466691292 557436821 933382584 1114873642 1672310463 2229747284 3344620926 4459494568 5016931389 6689241852 10033862778 13378483704 20067725556 40135451112