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42094303680 = 263511132103229
BaseRepresentation
bin100111001101000001…
…000001100111000000
311000122121212012001110
4213031001001213000
51142202120204210
631200551003320
73020064451302
oct471501014700
9130577765043
1042094303680
1116941156430
1281a9369540
133c7ac27700
1420747b3972
1511657c6420
hex9cd0419c0

42094303680 has 672 divisors, whose sum is σ = 160106319360. Its totient is φ = 9287516160.

The previous prime is 42094303661. The next prime is 42094303703. The reversal of 42094303680 is 8630349024.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183817806 + ... + 183818034.

Almost surely, 242094303680 is an apocalyptic number.

42094303680 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 42094303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80053159680).

42094303680 is an abundant number, since it is smaller than the sum of its proper divisors (118012015680).

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

42094303680 is a wasteful number, since it uses less digits than its factorization.

42094303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 42094303680 in words is "forty-two billion, ninety-four million, three hundred three thousand, six hundred eighty".