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1134640973700 = 22325213614793319
BaseRepresentation
bin10000100000101101110…
…111110100011110000100
311000110201002011120011200
4100200231313310132010
5122042221042124300
62225125153502500
7144655314100653
oct20405567643604
94013632146150
101134640973700
113a8220282283
12163a98b71a30
1382cc4805450
143ccba03719a
151e7abc63200
hex1082ddf4784

1134640973700 has 432 divisors, whose sum is σ = 3902133580800. Its totient is φ = 274061491200.

The previous prime is 1134640973663. The next prime is 1134640973729. The reversal of 1134640973700 is 73790464311.

1134640973700 is a `hidden beast` number, since 1 + 134 + 64 + 0 + 97 + 370 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 341860641 + ... + 341863959.

Almost surely, 21134640973700 is an apocalyptic number.

1134640973700 is a gapful number since it is divisible by the number (10) 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 1134640973700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951066790400).

1134640973700 is an abundant number, since it is smaller than the sum of its proper divisors (2767492607100).

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

1134640973700 is a wasteful number, since it uses less digits than its factorization.

1134640973700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 1134640973700 in words is "one trillion, one hundred thirty-four billion, six hundred forty million, nine hundred seventy-three thousand, seven hundred".