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142093510464 = 26317163409653
BaseRepresentation
bin1000010001010101101…
…1101110011101000000
3111120202202000020012210
42010111123232131000
54312001414313324
6145135445022120
713160131624233
oct2042533563500
9446682006183
10142093510464
115529709a584
12236569b4940
131052651a099
146c3d6a941a
153a69905d29
hex21156ee740

142093510464 has 224 divisors, whose sum is σ = 402107034240. Its totient is φ = 44128862208.

The previous prime is 142093510441. The next prime is 142093510483. The reversal of 142093510464 is 464015390241.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 217600762 + ... + 217601414.

Almost surely, 2142093510464 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 142093510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201053517120).

142093510464 is an abundant number, since it is smaller than the sum of its proper divisors (260013523776).

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

142093510464 is a wasteful number, since it uses less digits than its factorization.

142093510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 142093510464 in words is "one hundred forty-two billion, ninety-three million, five hundred ten thousand, four hundred sixty-four".