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400297323264 = 28313719119919
BaseRepresentation
bin1011101001100111001…
…01000110101100000000
31102021020102000221211120
411310303211012230000
523024302103321024
6503521040512240
740630512051456
oct5646345065400
91367212027746
10400297323264
11144846448803
12656b691b680
132b99510c977
141553587a9d6
15a62ca79479
hex5d33946b00

400297323264 has 144 divisors (see below), whose sum is σ = 1078823854080. Its totient is φ = 131758366720.

The previous prime is 400297323259. The next prime is 400297323317. The reversal of 400297323264 is 462323792004.

It is a super-2 number, since 2×4002973232642 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 20086297 + ... + 20106215.

It is an arithmetic number, because the mean of its divisors is an integer number (7491832320).

Almost surely, 2400297323264 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 400297323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539411927040).

400297323264 is an abundant number, since it is smaller than the sum of its proper divisors (678526530816).

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

400297323264 is a wasteful number, since it uses less digits than its factorization.

400297323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20266 (or 20252 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 400297323264 in words is "four hundred billion, two hundred ninety-seven million, three hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 191 192 256 274 382 384 411 548 573 764 768 822 1096 1146 1528 1644 2192 2292 3056 3288 4384 4584 6112 6576 8768 9168 12224 13152 17536 18336 19919 24448 26167 26304 35072 36672 39838 48896 52334 52608 59757 73344 78501 79676 104668 105216 119514 146688 157002 159352 209336 239028 314004 318704 418672 478056 628008 637408 837344 956112 1256016 1274816 1674688 1912224 2512032 2549632 2728903 3349376 3804529 3824448 5024064 5099264 5457806 6698752 7609058 7648896 8186709 10048128 10915612 11413587 15218116 15297792 16373418 20096256 21831224 22827174 30436232 32746836 43662448 45654348 60872464 65493672 87324896 91308696 121744928 130987344 174649792 182617392 243489856 261974688 349299584 365234784 486979712 521220473 523949376 698599168 730469568 973959424 1042440946 1047898752 1460939136 1563661419 2084881892 2095797504 2921878272 3127322838 4169763784 6254645676 8339527568 12509291352 16679055136 25018582704 33358110272 50037165408 66716220544 100074330816 133432441088 200148661632 400297323264