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400322343344 = 247112971157813
BaseRepresentation
bin1011101001101010001…
…00100011000110110000
31102021022011010002221012
411310311010203012300
523024330004441334
6503523333050052
740631234526350
oct5646504430660
91367264102835
10400322343344
11144859587760
1265703186928
132b99a360051
1415538d10b60
15a62ed6c9ce
hex5d351231b0

400322343344 has 160 divisors (see below), whose sum is σ = 1014453642240. Its totient is φ = 148469529600.

The previous prime is 400322343319. The next prime is 400322343359. The reversal of 400322343344 is 443343223004.

It is a super-2 number, since 2×4003223433442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 400322343344.

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 31 ways as a sum of consecutive naturals, for example, 2457782 + ... + 2615594.

It is an arithmetic number, because the mean of its divisors is an integer number (6340335264).

Almost surely, 2400322343344 is an apocalyptic number.

400322343344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400322343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507226821120).

400322343344 is an abundant number, since it is smaller than the sum of its proper divisors (614131298896).

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

400322343344 is a wasteful number, since it uses less digits than its factorization.

400322343344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157939 (or 157933 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 400322343344 its reverse (443343223004), we get a palindrome (843665566348).

The spelling of 400322343344 in words is "four hundred billion, three hundred twenty-two million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 71 77 88 112 116 142 154 176 203 232 284 308 319 406 464 497 568 616 638 781 812 994 1136 1232 1276 1562 1624 1988 2059 2233 2552 3124 3248 3976 4118 4466 5104 5467 6248 7952 8236 8932 10934 12496 14413 16472 17864 21868 22649 28826 32944 35728 43736 45298 57652 87472 90596 115304 157813 158543 181192 230608 315626 317086 362384 631252 634172 1104691 1262504 1268344 1735943 2209382 2525008 2536688 3471886 4418764 4576577 6943772 8837528 9153154 11204723 12151601 13887544 17675056 18306308 22409446 24303202 27775088 32036039 36612616 44818892 48606404 50342347 64072078 73225232 78433061 89637784 97212808 100684694 123251953 128144156 156866122 179275568 194425616 201369388 246503906 256288312 313732244 324936967 352396429 402738776 493007812 512576624 627464488 649873934 704792858 805477552 862763671 986015624 1254928976 1299747868 1409585716 1725527342 1972031248 2274558769 2599495736 2819171432 3451054684 3574306637 4549117538 5198991472 5638342864 6902109368 7148613274 9098235076 13804218736 14297226548 18196470152 25020146459 28594453096 36392940304 50040292918 57188906192 100080585836 200161171672 400322343344