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42341372559360 = 215385717331
BaseRepresentation
bin10011010000010010111100…
…11110001000000000000000
312112220210111001110200000000
421220021132132020000000
521022210112333344420
6230015205200000000
711630030453321640
oct1150113636100000
9175823431420000
1042341372559360
1112544969a77376
1248ba060000000
131a81a0b1a1694
14a65494a86520
154d65e2614690
hex26825e788000

42341372559360 has 2304 divisors, whose sum is σ = 184996861994880. Its totient is φ = 9081213419520.

The previous prime is 42341372559271. The next prime is 42341372559379. The reversal of 42341372559360 is 6395527314324.

42341372559360 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 13 + 72 + 559 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 42341372559297 and 42341372559306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 127919554395 + ... + 127919554725.

Almost surely, 242341372559360 is an apocalyptic number.

42341372559360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42341372559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92498430997440).

42341372559360 is an abundant number, since it is smaller than the sum of its proper divisors (142655489435520).

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

42341372559360 is an frugal number, since it uses more digits than its factorization.

42341372559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 42341372559360 in words is "forty-two trillion, three hundred forty-one billion, three hundred seventy-two million, five hundred fifty-nine thousand, three hundred sixty".