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404403124121312 = 2529244933344507
BaseRepresentation
bin101101111110011010111000…
…0100011110010111011100000
31222000212120011001002222211112
41123330311300203302323200
5411001220044233340222
63552032121442002452
7151116106260300041
oct13374656043627340
91860776131088745
10404403124121312
111079454468871a8
1239434050046428
1314486087ca6ac4
1471c1303a228c8
1531b46bede2be2
hex16fcd708f2ee0

404403124121312 has 72 divisors (see below), whose sum is σ = 824753204553096. Its totient is φ = 195185584208384.

The previous prime is 404403124121309. The next prime is 404403124121351. The reversal of 404403124121312 is 213121421304404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119243363 + ... + 122587869.

It is an arithmetic number, because the mean of its divisors is an integer number (11454905618793).

Almost surely, 2404403124121312 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 404403124121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412376602276548).

404403124121312 is an abundant number, since it is smaller than the sum of its proper divisors (420350080431784).

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

404403124121312 is a wasteful number, since it uses less digits than its factorization.

404403124121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349068 (or 3349031 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 404403124121312 its reverse (213121421304404), we get a palindrome (617524545425716).

The spelling of 404403124121312 in words is "four hundred four trillion, four hundred three billion, one hundred twenty-four million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3364 4493 6728 8986 13456 17972 26912 35944 71888 130297 143776 260594 521188 1042376 2084752 3344507 3778613 4169504 6689014 7557226 13378028 15114452 26756056 30228904 53512112 60457808 96990703 107024224 120915616 193981406 387962812 775925624 1551851248 2812730387 3103702496 5625460774 11250921548 15026869951 22501843096 30053739902 45003686192 60107479804 90007372384 120214959608 240429919216 435779228579 480859838432 871558457158 1743116914316 3486233828632 6972467657264 12637597628791 13944935314528 25275195257582 50550390515164 101100781030328 202201562060656 404403124121312