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240743036928 = 21132912710639
BaseRepresentation
bin1110000000110101100…
…1110011100000000000
3212000101210111102001010
43200031121303200000
512421020204140203
6302332410440520
723251560023142
oct3401531634000
9760353442033
10240743036928
119310a193949
123a7a8433140
13199182cba54
14b91b22ac92
1563e02d0303
hex380d673800

240743036928 has 192 divisors, whose sum is σ = 669247488000. Its totient is φ = 76863209472.

The previous prime is 240743036881. The next prime is 240743036939. The reversal of 240743036928 is 829630347042.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22623033 + ... + 22633671.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664000).

Almost surely, 2240743036928 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 240743036928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744000).

240743036928 is an abundant number, since it is smaller than the sum of its proper divisors (428504451072).

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

240743036928 is a wasteful number, since it uses less digits than its factorization.

240743036928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10820 (or 10800 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 240743036928 in words is "two hundred forty billion, seven hundred forty-three million, thirty-six thousand, nine hundred twenty-eight".