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12400440111432 = 2332271635528911
BaseRepresentation
bin1011010001110011001111…
…0100111111000101001000
31121220110200222210110011200
42310130303310333011020
53111132100132031212
642212403351224200
72416621315546152
oct264346364770510
947813628713150
1012400440111432
113a50aa718945a
121483356378060
136bc483274999
1430c2823c7ad2
1516786d2a26dc
hexb4733d3f148

12400440111432 has 48 divisors (see below), whose sum is σ = 33708453492480. Its totient is φ = 4118227336800.

The previous prime is 12400440111427. The next prime is 12400440111461. The reversal of 12400440111432 is 23411104400421.

12400440111432 is a `hidden beast` number, since 1 + 240 + 0 + 4 + 401 + 1 + 14 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12400440111396 and 12400440111405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317744944 + ... + 317783967.

It is an arithmetic number, because the mean of its divisors is an integer number (702259447760).

Almost surely, 212400440111432 is an apocalyptic number.

12400440111432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12400440111432 is an abundant number, since it is smaller than the sum of its proper divisors (21308013381048).

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

12400440111432 is a wasteful number, since it uses less digits than its factorization.

12400440111432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635529194 (or 635529187 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12400440111432 its reverse (23411104400421), we get a palindrome (35811544511853).

The spelling of 12400440111432 in words is "twelve trillion, four hundred billion, four hundred forty million, one hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 3252 4878 6504 9756 19512 635528911 1271057822 1906586733 2542115644 3813173466 5084231288 5719760199 7626346932 11439520398 15252693864 22879040796 45758081592 172228334881 344456669762 516685004643 688913339524 1033370009286 1377826679048 1550055013929 2066740018572 3100110027858 4133480037144 6200220055716 12400440111432