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414243011988 = 2232131169975659
BaseRepresentation
bin1100000011100101100…
…11101011110110010100
31110121020022022100100100
412001302303223312110
523241332202340423
6514144533214100
741633220335211
oct6016263536624
91417208270310
10414243011988
1114a752421093
1268349191330
13300a83b3ca0
1416099a56b08
15ab97030343
hex6072cebd94

414243011988 has 72 divisors (see below), whose sum is σ = 1127772828000. Its totient is φ = 127446808896.

The previous prime is 414243011957. The next prime is 414243011999. The reversal of 414243011988 is 889110342414.

414243011988 is a `hidden beast` number, since 4 + 1 + 424 + 30 + 1 + 198 + 8 = 666.

414243011988 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5437303 + ... + 5512961.

It is an arithmetic number, because the mean of its divisors is an integer number (15663511500).

Almost surely, 2414243011988 is an apocalyptic number.

It is an amenable number.

414243011988 is an abundant number, since it is smaller than the sum of its proper divisors (713529816012).

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

414243011988 is a wasteful number, since it uses less digits than its factorization.

414243011988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87381 (or 87376 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 414243011988 in words is "four hundred fourteen billion, two hundred forty-three million, eleven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 11699 23398 35097 46796 70194 75659 105291 140388 151318 152087 210582 226977 302636 304174 421164 453954 456261 608348 680931 907908 912522 983567 1361862 1368783 1825044 1967134 2723724 2737566 2950701 3934268 5475132 5901402 8852103 11802804 17704206 35408412 885134641 1770269282 2655403923 3540538564 5310807846 7966211769 10621615692 11506750333 15932423538 23013500666 31864847076 34520250999 46027001332 69040501998 103560752997 138081003996 207121505994 414243011988