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140005563936 = 25371723895987
BaseRepresentation
bin1000001001100011111…
…0110101111000100000
3111101101020011120000220
42002120332311320200
54243212411021221
6144152341043040
713054316441460
oct2023076657040
9441336146026
10140005563936
1154415544437
12231736b6480
1310282a8c674
146ac2279ba0
1539964700c6
hex2098fb5e20

140005563936 has 384 divisors, whose sum is σ = 469351895040. Its totient is φ = 35601088512.

The previous prime is 140005563911. The next prime is 140005563937. The reversal of 140005563936 is 639365500041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (140005563937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23381935 + ... + 23387921.

It is an arithmetic number, because the mean of its divisors is an integer number (1222270560).

Almost surely, 2140005563936 is an apocalyptic number.

140005563936 is a gapful number since it is divisible by the number (16) 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 140005563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234675947520).

140005563936 is an abundant number, since it is smaller than the sum of its proper divisors (329346331104).

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

140005563936 is a wasteful number, since it uses less digits than its factorization.

140005563936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

The spelling of 140005563936 in words is "one hundred forty billion, five million, five hundred sixty-three thousand, nine hundred thirty-six".