Search a number
-
+
401200092920 = 235114122239473
BaseRepresentation
bin1011101011010010110…
…00111001011011111000
31102100120022202101222202
411311221120321123320
523033124210433140
6504150410205332
740662053344124
oct5655130713370
91370508671882
10401200092920
11145169aa1a30
1265909123848
132baaa165bb3
14155bd718584
15a681e51915
hex5d696396f8

401200092920 has 64 divisors (see below), whose sum is σ = 1008782540640. Its totient is φ = 142332620800.

The previous prime is 401200092901. The next prime is 401200092947. The reversal of 401200092920 is 29290002104.

It is a super-3 number, since 3×4012000929203 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11101697 + ... + 11137776.

Almost surely, 2401200092920 is an apocalyptic number.

401200092920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401200092920 is an abundant number, since it is smaller than the sum of its proper divisors (607582447720).

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

401200092920 is a wasteful number, since it uses less digits than its factorization.

401200092920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22239536 (or 22239532 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 401200092920 in words is "four hundred one billion, two hundred million, ninety-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 22239473 44478946 88957892 111197365 177915784 222394730 244634203 444789460 489268406 889578920 911818393 978536812 1223171015 1823636786 1957073624 2446342030 3647273572 4559091965 4892684060 7294547144 9118183930 9785368120 10030002323 18236367860 20060004646 36472735720 40120009292 50150011615 80240018584 100300023230 200600046460 401200092920