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1136403157344 = 253713238776449
BaseRepresentation
bin10000100010010110111…
…010000001000101100000
311000122020220000202200120
4100202112322001011200
5122104323202013334
62230020103320240
7145050062313420
oct20422672010540
94018226022616
101136403157344
113a8a44a579a4
121642ab150080
1383215914870
143d0060a8480
151e8617eb949
hex10896e81160

1136403157344 has 384 divisors, whose sum is σ = 3836048025600. Its totient is φ = 286308532224.

The previous prime is 1136403157327. The next prime is 1136403157361. The reversal of 1136403157344 is 4437513046311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1136403157327) and next prime (1136403157361).

It is a super-2 number, since 2×11364031573442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1136403157296 and 1136403157305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176210632 + ... + 176217080.

It is an arithmetic number, because the mean of its divisors is an integer number (9989708400).

Almost surely, 21136403157344 is an apocalyptic number.

1136403157344 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 1136403157344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918024012800).

1136403157344 is an abundant number, since it is smaller than the sum of its proper divisors (2699644868256).

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

1136403157344 is a wasteful number, since it uses less digits than its factorization.

1136403157344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7374 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 1136403157344 in words is "one trillion, one hundred thirty-six billion, four hundred three million, one hundred fifty-seven thousand, three hundred forty-four".