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401095297408 = 27131727152321
BaseRepresentation
bin1011101011000110010…
…01001000100110000000
31102100022000120020120111
411311203021020212000
523032420344004113
6504132144121104
740656341526631
oct5654311104600
91370260506514
10401095297408
11145115925573
126589a006194
132ba91533710
14155ad839888
15a677b5113d
hex5d63248980

401095297408 has 128 divisors (see below), whose sum is σ = 914521587840. Its totient is φ = 173585203200.

The previous prime is 401095297331. The next prime is 401095297423. The reversal of 401095297408 is 804792590104.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7639888 + ... + 7692208.

It is an arithmetic number, because the mean of its divisors is an integer number (7144699905).

Almost surely, 2401095297408 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 401095297408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457260793920).

401095297408 is an abundant number, since it is smaller than the sum of its proper divisors (513426290432).

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

401095297408 is a wasteful number, since it uses less digits than its factorization.

401095297408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52636 (or 52624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 401095297408 in words is "four hundred one billion, ninety-five million, two hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 271 272 416 442 542 544 832 884 1084 1088 1664 1768 2168 2176 3523 3536 4336 4607 7046 7072 8672 9214 14092 14144 17344 18428 28184 28288 34688 36856 52321 56368 59891 73712 104642 112736 119782 147424 209284 225472 239564 294848 418568 450944 479128 589696 680173 837136 889457 958256 1360346 1674272 1778914 1916512 2720692 3348544 3557828 3833024 5441384 6697088 7115656 7666048 10882768 11562941 14178991 14231312 21765536 23125882 28357982 28462624 43531072 46251764 56715964 56925248 87062144 92503528 113431928 113850496 184326883 185007056 226863856 241042847 368653766 370014112 453727712 482085694 737307532 740028224 907455424 964171388 1474615064 1480056448 1814910848 1928342776 2949230128 3133557011 3856685552 5898460256 6267114022 7713371104 11796920512 12534228044 15426742208 23593841024 25068456088 30853484416 50136912176 100273824352 200547648704 401095297408