Search a number
-
+
400922045952 = 2931991311643
BaseRepresentation
bin1011101010110001101…
…00001110111000000000
31102022211221120011020220
411311120310032320000
523032042020432302
6504103034503040
740652136106431
oct5653064167000
91368757504226
10400922045952
1114503705214a
126584bb94a80
132ba6468346c
141559481b488
15a66782c4bc
hex5d58d0ee00

400922045952 has 80 divisors (see below), whose sum is σ = 1073449449600. Its totient is φ = 132969019392.

The previous prime is 400922045917. The next prime is 400922045987. The reversal of 400922045952 is 259540229004.

It is an interprime number because it is at equal distance from previous prime (400922045917) and next prime (400922045987).

It is a super-3 number, since 3×4009220459523 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350158 + ... + 961485.

It is an arithmetic number, because the mean of its divisors is an integer number (13418118120).

Almost surely, 2400922045952 is an apocalyptic number.

It is an amenable number.

400922045952 is an abundant number, since it is smaller than the sum of its proper divisors (672527403648).

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

400922045952 is a wasteful number, since it uses less digits than its factorization.

400922045952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311863 (or 1311847 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 400922045952 in words is "four hundred billion, nine hundred twenty-two million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 256 384 398 512 597 768 796 1194 1536 1592 2388 3184 4776 6368 9552 12736 19104 25472 38208 50944 76416 101888 152832 305664 1311643 2623286 3934929 5246572 7869858 10493144 15739716 20986288 31479432 41972576 62958864 83945152 125917728 167890304 251835456 261016957 335780608 503670912 522033914 671561216 783050871 1007341824 1044067828 1566101742 2014683648 2088135656 3132203484 4176271312 6264406968 8352542624 12528813936 16705085248 25057627872 33410170496 50115255744 66820340992 100230511488 133640681984 200461022976 400922045952