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400230044412432 = 243132934799456149
BaseRepresentation
bin101101100000000011101000…
…1101000000010101000010000
31221111002121200221102002102020
41123000013101220002220100
5404424332112332144212
63535115051045051440
7150205444414111443
oct13300072150025020
91844077627362366
10400230044412432
11106586677105613
1238a7b3200b6b80
13142426ba1b2060
1470b9347a1565a
153140d7e050d8c
hex16c01d1a02a10

400230044412432 has 160 divisors (see below), whose sum is σ = 1117495975680000. Its totient is φ = 122701564102656.

The previous prime is 400230044412277. The next prime is 400230044412493. The reversal of 400230044412432 is 234214440032004.

It is a junction number, because it is equal to n+sod(n) for n = 400230044412393 and 400230044412402.

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, 877182694 + ... + 877638842.

It is an arithmetic number, because the mean of its divisors is an integer number (6984349848000).

Almost surely, 2400230044412432 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 400230044412432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558747987840000).

400230044412432 is an abundant number, since it is smaller than the sum of its proper divisors (717265931267568).

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

400230044412432 is a wasteful number, since it uses less digits than its factorization.

400230044412432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461265 (or 461259 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 400230044412432 its reverse (234214440032004), we get a palindrome (634444484444436).

The spelling of 400230044412432 in words is "four hundred trillion, two hundred thirty billion, forty-four million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 293 312 586 624 879 1172 1758 2344 3516 3809 4688 4799 7032 7618 9598 11427 14064 14397 15236 19196 22854 28794 30472 38392 45708 57588 60944 62387 76784 91416 115176 124774 182832 187161 230352 249548 374322 456149 499096 748644 912298 998192 1368447 1406107 1497288 1824596 2736894 2812214 2994576 3649192 4218321 5473788 5624428 5929937 7298384 8436642 10947576 11248856 11859874 16873284 17789811 18279391 21895152 22497712 23719748 33746568 35579622 36558782 47439496 54838173 67493136 71159244 73117564 94878992 109676346 133651657 142318488 146235128 219352692 267303314 284636976 292470256 400954971 438705384 534606628 801909942 877410768 1069213256 1603819884 1737471541 2138426512 2189059051 3207639768 3474943082 4378118102 5212414623 6415279536 6567177153 6949886164 8756236204 10424829246 13134354306 13899772328 17512472408 20849658492 26268708612 27799544656 28457767663 35024944816 41699316984 52537417224 56915535326 83398633968 85373302989 105074834448 113831070652 170746605978 227662141304 341493211956 455324282608 641394301943 682986423912 1282788603886 1365972847824 1924182905829 2565577207772 3848365811658 5131154415544 7696731623316 8338125925259 10262308831088 15393463246632 16676251850518 25014377775777 30786926493264 33352503701036 50028755551554 66705007402072 100057511103108 133410014804144 200115022206216 400230044412432