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40130505432 = 2333238077799
BaseRepresentation
bin100101010111111101…
…101110101011011000
310211120202121220022000
4211113331232223120
51124141402133212
630234040001000
72620320445053
oct452775565330
9124522556260
1040130505432
1116023695776
12793b760160
133a27117104
141d29a5da9a
15109d1b51dc
hex957f6ead8

40130505432 has 64 divisors (see below), whose sum is σ = 116320320000. Its totient is φ = 12795232032.

The previous prime is 40130505431. The next prime is 40130505461. The reversal of 40130505432 is 23450503104.

40130505432 is a `hidden beast` number, since 40 + 1 + 30 + 50 + 543 + 2 = 666.

It is a super-2 number, since 2×401305054322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40130505396 and 40130505405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40130505431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4033932 + ... + 4043867.

It is an arithmetic number, because the mean of its divisors is an integer number (1817505000).

Almost surely, 240130505432 is an apocalyptic number.

It is an amenable number.

40130505432 is an abundant number, since it is smaller than the sum of its proper divisors (76189814568).

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

40130505432 is a wasteful number, since it uses less digits than its factorization.

40130505432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077837 (or 8077827 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 40130505432 in words is "forty billion, one hundred thirty million, five hundred five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 8077799 16155598 24233397 32311196 48466794 64622392 72700191 96933588 145400382 185789377 193867176 218100573 290800764 371578754 436201146 557368131 581601528 743157508 872402292 1114736262 1486315016 1672104393 1744804584 2229472524 3344208786 4458945048 5016313179 6688417572 10032626358 13376835144 20065252716 40130505432