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1113937920000 = 21434541779
BaseRepresentation
bin10000001101011011110…
…111111100000000000000
310221111021020201110120000
4100031123313330000000
5121222321101420000
62211422551320000
7143323264043553
oct20153367740000
93844236643500
101113937920000
1139a466a08644
1215ba7b680000
138107558c509
143bcb462069a
151de99420000
hex1035bdfc000

1113937920000 has 1500 divisors, whose sum is σ = 4458980544480. Its totient is φ = 276037632000.

The previous prime is 1113937919999. The next prime is 1113937920013. The reversal of 1113937920000 is 297393111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×11139379200002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 14100479961 + ... + 14100480039.

Almost surely, 21113937920000 is an apocalyptic number.

1113937920000 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 1113937920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229490272240).

1113937920000 is an abundant number, since it is smaller than the sum of its proper divisors (3345042624480).

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

1113937920000 is an frugal number, since it uses more digits than its factorization.

1113937920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 1113937920000 in words is "one trillion, one hundred thirteen billion, nine hundred thirty-seven million, nine hundred twenty thousand".