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12438083541144 = 233899957590119
BaseRepresentation
bin1011010011111111011110…
…0011010001100010011000
31122001001212102112210222010
42310333313203101202120
53112241143341304034
642241550544425520
72422423206454512
oct264776743214230
948031772483863
1012438083541144
113a65a63998348
12148a7010182a0
136c2ba2036251
143100139dcbb2
15168822e413e9
hexb4ff78d1898

12438083541144 has 32 divisors (see below), whose sum is σ = 31098664800000. Its totient is φ = 4145567054112.

The previous prime is 12438083541101. The next prime is 12438083541161. The reversal of 12438083541144 is 44114538083421.

It is a junction number, because it is equal to n+sod(n) for n = 12438083541093 and 12438083541102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28579084 + ... + 29011035.

It is an arithmetic number, because the mean of its divisors is an integer number (971833275000).

Almost surely, 212438083541144 is an apocalyptic number.

It is an amenable number.

12438083541144 is an abundant number, since it is smaller than the sum of its proper divisors (18660581258856).

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

12438083541144 is a wasteful number, since it uses less digits than its factorization.

12438083541144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57599127 (or 57599123 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 12438083541144 in words is "twelve trillion, four hundred thirty-eight billion, eighty-three million, five hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 8999 17998 26997 35996 53994 71992 107988 215976 57590119 115180238 172770357 230360476 345540714 460720952 691081428 1382162856 518253480881 1036506961762 1554760442643 2073013923524 3109520885286 4146027847048 6219041770572 12438083541144