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1125723134640 = 2435131722934261
BaseRepresentation
bin10000011000011010010…
…100111101101010110000
310222121200120200101210010
4100120122110331222300
5121420440110302030
62221052225334520
7144221316523116
oct20303224755260
93877616611703
101125723134640
113a44643a8855
1216220a497440
1382203090cc0
143c6b18cbab6
151e438db56b0
hex1061a53dab0

1125723134640 has 480 divisors, whose sum is σ = 4006822671936. Its totient is φ = 259849912320.

The previous prime is 1125723134597. The next prime is 1125723134671. The reversal of 1125723134640 is 464313275211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264190110 + ... + 264194370.

Almost surely, 21125723134640 is an apocalyptic number.

1125723134640 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 1125723134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003411335968).

1125723134640 is an abundant number, since it is smaller than the sum of its proper divisors (2881099537296).

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

1125723134640 is a wasteful number, since it uses less digits than its factorization.

1125723134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 1125723134640 in words is "one trillion, one hundred twenty-five billion, seven hundred twenty-three million, one hundred thirty-four thousand, six hundred forty".