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42307392387456 = 273275246452429
BaseRepresentation
bin10011001111010011101010…
…00110000011100110000000
312112210112202220210002012200
421213221311012003212000
521021131014422344311
6225551425302553200
711624415423531240
oct1147516506034600
9175715686702180
1042307392387456
1112531512062279
1248b3558138800
131a7b75433aca1
14a6398dba9b20
154d57a4380556
hex267a75183980

42307392387456 has 96 divisors (see below), whose sum is σ = 139135918443600. Its totient is φ = 12087826394112.

The previous prime is 42307392387451. The next prime is 42307392387457. The reversal of 42307392387456 is 65478329370324.

42307392387456 is a `hidden beast` number, since 4 + 2 + 30 + 73 + 9 + 2 + 3 + 87 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 42307392387393 and 42307392387402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42307392387451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2623218151 + ... + 2623234278.

Almost surely, 242307392387456 is an apocalyptic number.

It is an amenable number.

42307392387456 is an abundant number, since it is smaller than the sum of its proper divisors (96828526056144).

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

42307392387456 is a wasteful number, since it uses less digits than its factorization.

42307392387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246452456 (or 5246452441 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 42307392387456 in words is "forty-two trillion, three hundred seven billion, three hundred ninety-two million, three hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 5246452429 10492904858 15739357287 20985809716 31478714574 36725167003 41971619432 47218071861 62957429148 73450334006 83943238864 94436143722 110175501009 125914858296 146900668012 167886477728 188872287444 220351002018 251829716592 293801336024 330526503027 335772955456 377744574888 440702004036 503659433184 587602672048 661053006054 671545910912 755489149776 881404008072 1007318866368 1175205344096 1322106012108 1510978299552 1762808016144 2014637732736 2350410688192 2644212024216 3021956599104 3525616032288 4700821376384 5288424048432 6043913198208 7051232064576 10576848096864 14102464129152 21153696193728 42307392387456