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1114369159680 = 29335717612221
BaseRepresentation
bin10000001101110101100…
…100111111001000000000
310221112101022011201012000
4100031311210333020000
5121224212001102210
62211533434304000
7143340051366240
oct20156544771000
93845338151160
101114369159680
1139a668380377
1215bb7bb88000
1381113a1b11a
143bd159d7b20
151dec2204ac0
hex1037593f200

1114369159680 has 1280 divisors, whose sum is σ = 4870629688320. Its totient is φ = 235693670400.

The previous prime is 1114369159661. The next prime is 1114369159681. The reversal of 1114369159680 is 869519634111.

1114369159680 is a `hidden beast` number, since 1 + 1 + 1 + 43 + 6 + 9 + 1 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1114369159681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 501740970 + ... + 501743190.

It is an arithmetic number, because the mean of its divisors is an integer number (3805179444).

Almost surely, 21114369159680 is an apocalyptic number.

1114369159680 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 1114369159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435314844160).

1114369159680 is an abundant number, since it is smaller than the sum of its proper divisors (3756260528640).

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

1114369159680 is a wasteful number, since it uses less digits than its factorization.

1114369159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1114369159680 in words is "one trillion, one hundred fourteen billion, three hundred sixty-nine million, one hundred fifty-nine thousand, six hundred eighty".