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1130751503424 = 263105472
BaseRepresentation
bin10000011101000110000…
…010101010110001000000
311000002200000110000000000
4100131012002222301000
5122011234341102144
62223243213000000
7144460035123324
oct20350602526100
94002600400000
101130751503424
113a6604821734
12163192483000
1382824a7324a
143ca2b655984
151e630572769
hex107460aac40

1130751503424 has 231 divisors, whose sum is σ = 3371897848647. Its totient is φ = 376228105344.

The previous prime is 1130751503417. The next prime is 1130751503429. The reversal of 1130751503424 is 4243051570311.

The square root of 1130751503424 is 1063368.

It is a perfect power (a square), and thus also a powerful number.

1130751503424 is a `hidden beast` number, since 1 + 1 + 307 + 5 + 1 + 5 + 0 + 342 + 4 = 666.

It is a super-3 number, since 3×11307515034243 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (1130751503429) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2067187119 + ... + 2067187665.

Almost surely, 21130751503424 is an apocalyptic number.

1130751503424 is the 1063368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130751503424

1130751503424 is an abundant number, since it is smaller than the sum of its proper divisors (2241146345223).

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

1130751503424 is an frugal number, since it uses more digits than its factorization.

1130751503424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 1130751503424 by its sum of digits (36), we get a square (40707054123264 = 63802082).

1130751503424 divided by its sum of digits (36) gives a square (31409763984 = 1772282).

The spelling of 1130751503424 in words is "one trillion, one hundred thirty billion, seven hundred fifty-one million, five hundred three thousand, four hundred twenty-four".