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1130368024240 = 2457131756316223
BaseRepresentation
bin10000011100101111001…
…011110011111010110000
311000001200021212020110021
4100130233023303322300
5122004443203233430
62223141153413224
7144444400450240
oct20345713637260
94001607766407
101130368024240
113a6428310094
121630a5b6a214
13827934975a0
143c9d2751b20
151e60ba7407a
hex1072f2f3eb0

1130368024240 has 320 divisors, whose sum is σ = 3431156391936. Its totient is φ = 336080388096.

The previous prime is 1130368024231. The next prime is 1130368024249. The reversal of 1130368024240 is 424208630311.

It is an interprime number because it is at equal distance from previous prime (1130368024231) and next prime (1130368024249).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1130368024196 and 1130368024205.

It is not an unprimeable number, because it can be changed into a prime (1130368024249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69668769 + ... + 69684991.

Almost surely, 21130368024240 is an apocalyptic number.

1130368024240 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 1130368024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715578195968).

1130368024240 is an abundant number, since it is smaller than the sum of its proper divisors (2300788367696).

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

1130368024240 is a wasteful number, since it uses less digits than its factorization.

1130368024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16836 (or 16830 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1130368024240 in words is "one trillion, one hundred thirty billion, three hundred sixty-eight million, twenty-four thousand, two hundred forty".