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42103950336 = 210347127571
BaseRepresentation
bin100111001101100101…
…110100110000000000
311000200022000021210000
4213031211310300000
51142212102402321
631201533440000
73020242446540
oct471545646000
9130608007700
1042103950336
1116946645078
1281b0640000
133c7cc244a6
142075ba5320
15116657e826
hex9cd974c00

42103950336 has 440 divisors, whose sum is σ = 145077211136. Its totient is φ = 11914076160.

The previous prime is 42103950313. The next prime is 42103950401. The reversal of 42103950336 is 63305930124.

It is a happy number.

42103950336 is a `hidden beast` number, since 42 + 103 + 9 + 503 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42103950336.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73736931 + ... + 73737501.

Almost surely, 242103950336 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 42103950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72538605568).

42103950336 is an abundant number, since it is smaller than the sum of its proper divisors (102973260800).

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

42103950336 is a wasteful number, since it uses less digits than its factorization.

42103950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 42103950336 in words is "forty-two billion, one hundred three million, nine hundred fifty thousand, three hundred thirty-six".