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401233256463456 = 2534233396632537
BaseRepresentation
bin101101100111010110110010…
…1101110010011110001100000
31221121122112011111212121120000
41123032231211232103301200
5410042301202123312311
63541204002521020000
7150341101063621644
oct13316554556236140
91847575144777500
10401233256463456
11106933083164a2a
1239001839924600
13142b6197a786b1
147111b168a2c24
15315bee7796056
hex16ceb65b93c60

401233256463456 has 120 divisors (see below), whose sum is σ = 1180066599641160. Its totient is φ = 133738668145152.

The previous prime is 401233256463443. The next prime is 401233256463493. The reversal of 401233256463456 is 654364652332104.

401233256463456 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 3 + 3 + 256 + 46 + 345 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57178420 + ... + 63810956.

It is an arithmetic number, because the mean of its divisors is an integer number (9833888330343).

Almost surely, 2401233256463456 is an apocalyptic number.

It is an amenable number.

401233256463456 is an abundant number, since it is smaller than the sum of its proper divisors (778833343177704).

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

401233256463456 is a wasteful number, since it uses less digits than its factorization.

401233256463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6655898 (or 6655881 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 401233256463456 in words is "four hundred one trillion, two hundred thirty-three billion, two hundred fifty-six million, four hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 23339 46678 70017 93356 140034 186712 210051 280068 373424 420102 560136 630153 746848 840204 1120272 1260306 1680408 1890459 2240544 2520612 3360816 3780918 5041224 6632537 6721632 7561836 10082448 13265074 15123672 19897611 20164896 26530148 30247344 39795222 53060296 59692833 60494688 79590444 106120592 119385666 159180888 179078499 212241184 238771332 318361776 358156998 477542664 537235497 636723552 716313996 955085328 1074470994 1432627992 1910170656 2148941988 2865255984 4297883976 5730511968 8595767952 17191535904 154796781043 309593562086 464390343129 619187124172 928780686258 1238374248344 1393171029387 1857561372516 2476748496688 2786342058774 3715122745032 4179513088161 4953496993376 5572684117548 7430245490064 8359026176322 11145368235096 12538539264483 14860490980128 16718052352644 22290736470192 25077078528966 33436104705288 44581472940384 50154157057932 66872209410576 100308314115864 133744418821152 200616628231728 401233256463456