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1139706444240 = 2432571371244997
BaseRepresentation
bin10000100101011011110…
…011000011100111010000
311000221210002202010102200
4100211123303003213100
5122133104322203430
62231323544243200
7145224662635440
oct20453363034720
94027702663380
101139706444240
113aa38a637271
12164a71470500
13836210a7cb0
143d23aa9c120
151e9a67ed460
hex1095bcc39d0

1139706444240 has 480 divisors, whose sum is σ = 4777155242496. Its totient is φ = 237077729280.

The previous prime is 1139706444223. The next prime is 1139706444257. The reversal of 1139706444240 is 424446079311.

1139706444240 is a `hidden beast` number, since 1 + 139 + 70 + 6 + 4 + 442 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1139706444223) and next prime (1139706444257).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4529422 + ... + 4774418.

Almost surely, 21139706444240 is an apocalyptic number.

1139706444240 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 1139706444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388577621248).

1139706444240 is an abundant number, since it is smaller than the sum of its proper divisors (3637448798256).

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

1139706444240 is a wasteful number, since it uses less digits than its factorization.

1139706444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245107 (or 245098 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1139706444240 in words is "one trillion, one hundred thirty-nine billion, seven hundred six million, four hundred forty-four thousand, two hundred forty".