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215431134512 = 24114364743997
BaseRepresentation
bin1100100010100010110…
…0100011110100110000
3202121001202200112112212
43020220230203310300
512012200332301022
6242545004511252
721364404300236
oct3105054436460
9677052615485
10215431134512
1183400293a30
123590354b528
131741328acb9
14a5d9692956
15590d04c3e2
hex3228b23d30

215431134512 has 80 divisors (see below), whose sum is σ = 466663203072. Its totient is φ = 95495957760.

The previous prime is 215431134493. The next prime is 215431134517.

215431134512 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (215431134517) 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, 4874498 + ... + 4918494.

Almost surely, 2215431134512 is an apocalyptic number.

215431134512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215431134512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233331601536).

215431134512 is an abundant number, since it is smaller than the sum of its proper divisors (251232068560).

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

215431134512 is a wasteful number, since it uses less digits than its factorization.

215431134512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44706 (or 44700 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 215431 and 134512, that added together give a palindrome (349943).

The spelling of 215431134512 in words is "two hundred fifteen billion, four hundred thirty-one million, one hundred thirty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 647 688 946 1294 1892 2588 3784 5176 7117 7568 10352 14234 27821 28468 43997 55642 56936 87994 111284 113872 175988 222568 306031 351976 445136 483967 612062 703952 967934 1224124 1891871 1935868 2448248 3783742 3871736 4896496 7567484 7743472 15134968 20810581 28466059 30269936 41621162 56932118 83242324 113864236 166484648 227728472 313126649 332969296 455456944 626253298 1224040537 1252506596 2448081074 2505013192 4896162148 5010026384 9792324296 13464445907 19584648592 26928891814 53857783628 107715567256 215431134512