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1134990226944 = 293473731093
BaseRepresentation
bin10000100001000010101…
…100000111011000000000
311000111121102100110120000
4100201002230013120000
5122043424444230234
62225223551320000
7145000054515000
oct20410254073000
94014542313500
101134990226944
113a838a437422
12163b75b20000
138304bc89782
143cd1058c000
151e7cc750899
hex10842b07600

1134990226944 has 800 divisors, whose sum is σ = 4008390619200. Its totient is φ = 319548063744.

The previous prime is 1134990226939. The next prime is 1134990226963. The reversal of 1134990226944 is 4496220994311.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1038416862 + ... + 1038417954.

It is an arithmetic number, because the mean of its divisors is an integer number (5010488274).

Almost surely, 21134990226944 is an apocalyptic number.

1134990226944 is a gapful number since it is divisible by the number (14) 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 1134990226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004195309600).

1134990226944 is an abundant number, since it is smaller than the sum of its proper divisors (2873400392256).

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

1134990226944 is an frugal number, since it uses more digits than its factorization.

1134990226944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1134990226944 in words is "one trillion, one hundred thirty-four billion, nine hundred ninety million, two hundred twenty-six thousand, nine hundred forty-four".