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401314231344 = 243134116099749
BaseRepresentation
bin1011101011100000011…
…00010011010000110000
31102100212021112020110210
411311300030103100300
523033342420400334
6504210004424120
740664640453165
oct5656014232060
91370767466423
10401314231344
1114521846a904
126593b3a8040
132bac79b9b20
14155d094a06c
15a68be9a5e9
hex5d70313430

401314231344 has 160 divisors (see below), whose sum is σ = 1144536120000. Its totient is φ = 120382341120.

The previous prime is 401314231327. The next prime is 401314231397. The reversal of 401314231344 is 443132413104.

It is a super-2 number, since 2×4013142313442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41159782 + ... + 41169530.

It is an arithmetic number, because the mean of its divisors is an integer number (7153350750).

Almost surely, 2401314231344 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 401314231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572268060000).

401314231344 is an abundant number, since it is smaller than the sum of its proper divisors (743221888656).

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

401314231344 is a wasteful number, since it uses less digits than its factorization.

401314231344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11423 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 401314231344 its reverse (443132413104), we get a palindrome (844446644448).

The spelling of 401314231344 in words is "four hundred one billion, three hundred fourteen million, two hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1609 1968 2132 3198 3218 4264 4827 6396 6436 8528 9654 9749 12792 12872 19308 19498 20917 25584 25744 29247 38616 38996 41834 58494 62751 65969 77232 77992 83668 116988 125502 126737 131938 155984 167336 197907 233976 251004 253474 263876 334672 380211 395814 399709 467952 502008 506948 527752 760422 791628 799418 857597 1004016 1013896 1055504 1199127 1520844 1583256 1598836 1715194 2027792 2398254 2572791 3041688 3166512 3197672 3430388 4796508 5145582 5196217 6083376 6395344 6860776 9593016 10291164 10392434 13721552 15588651 15686141 19186032 20582328 20784868 31177302 31372282 41164656 41569736 47058423 62354604 62744564 83139472 94116846 124709208 125489128 188233692 203919833 249418416 250978256 376467384 407839666 611759499 643131781 752934768 815679332 1223518998 1286263562 1631358664 1929395343 2447037996 2572527124 3262717328 3858790686 4894075992 5145054248 7717581372 8360713153 9788151984 10290108496 15435162744 16721426306 25082139459 30870325488 33442852612 50164278918 66885705224 100328557836 133771410448 200657115672 401314231344