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400155515116 = 227243149318653
BaseRepresentation
bin1011101001010110010…
…00001001100011101100
31102020212112012100121221
411310223020021203230
523024004302440431
6503455013233124
740624140520600
oct5645310114354
91366775170557
10400155515116
111447833a1195
12656773327a4
132b97191b616
1415520ac5500
15a6203b7111
hex5d2b2098ec

400155515116 has 72 divisors (see below), whose sum is σ = 839143443600. Its totient is φ = 166382229888.

The previous prime is 400155515107. The next prime is 400155515119. The reversal of 400155515116 is 611515551004.

It is not an unprimeable number, because it can be changed into a prime (400155515119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096446 + ... + 1415098.

It is an arithmetic number, because the mean of its divisors is an integer number (11654770050).

Almost surely, 2400155515116 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 400155515116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419571721800).

400155515116 is an abundant number, since it is smaller than the sum of its proper divisors (438987928484).

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

400155515116 is a wasteful number, since it uses less digits than its factorization.

400155515116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318863 (or 318854 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 400155515116 in words is "four hundred billion, one hundred fifty-five million, five hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 43 49 86 98 149 172 196 298 301 596 602 1043 1204 2086 2107 4172 4214 6407 7301 8428 12814 14602 25628 29204 44849 89698 179396 313943 318653 627886 637306 1255772 1274612 2230571 4461142 8922284 13702079 15613997 27404158 31227994 47479297 54808316 62455988 94958594 95914553 189917188 191829106 332355079 383658212 664710158 671401871 1329420316 1342803742 2041609771 2326485553 2685607484 4083219542 4652971106 8166439084 9305942212 14291268397 28582536794 57165073588 100038878779 200077757558 400155515116