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42431133113424 = 243211177309215587
BaseRepresentation
bin10011010010111010001001…
…00111011101110001010000
312120020101011121210021001100
421221131010213131301100
521030142430034112144
6230124332104104400
711636356014411246
oct1151350447356120
9176211147707040
1042431133113424
1112579a40513160
124913530765100
131a8a314508073
14a6996bc54796
154d8ae7944269
hex2697449ddc50

42431133113424 has 240 divisors, whose sum is σ = 137183145877440. Its totient is φ = 12099859107840.

The previous prime is 42431133113419. The next prime is 42431133113459.

42431133113424 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 113 + 3 + 113 + 424 = 666.

42431133113424 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196708959 + ... + 196924545.

It is an arithmetic number, because the mean of its divisors is an integer number (571596441156).

Almost surely, 242431133113424 is an apocalyptic number.

42431133113424 is a gapful number since it is divisible by the number (44) 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 42431133113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68591572938720).

42431133113424 is an abundant number, since it is smaller than the sum of its proper divisors (94752012764016).

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

42431133113424 is a wasteful number, since it uses less digits than its factorization.

42431133113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222938 (or 222929 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 4243113 and 3113424, that added together give a palindrome (7356537).

The spelling of 42431133113424 in words is "forty-two trillion, four hundred thirty-one billion, one hundred thirty-three million, one hundred thirteen thousand, four hundred twenty-four".