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40993280000 = 2125467239
BaseRepresentation
bin100110001011011000…
…111101000000000000
310220210220002101111122
4212023120331000000
51132423234430000
630455420131412
72650565062601
oct461330750000
9126726071448
1040993280000
1116426702002
127b40696b68
133b33aa8aca
141dac489da8
1510edcdc085
hex98b63d000

40993280000 has 260 divisors, whose sum is σ = 104401830720. Its totient is φ = 16084992000.

The previous prime is 40993279993. The next prime is 40993280047. The reversal of 40993280000 is 8239904.

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 19 ways as a sum of consecutive naturals, for example, 171519881 + ... + 171520119.

Almost surely, 240993280000 is an apocalyptic number.

40993280000 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 40993280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52200915360).

40993280000 is an abundant number, since it is smaller than the sum of its proper divisors (63408550720).

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

40993280000 is an frugal number, since it uses more digits than its factorization.

40993280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 40993280000 in words is "forty billion, nine hundred ninety-three million, two hundred eighty thousand".