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42534411443524 = 2271113103592717401
BaseRepresentation
bin10011010101111010100000…
…11111000001110101000100
312120121020202021012000202101
421222331100133001311010
521033340433312143044
6230244012221121444
711650003236626410
oct1152752037016504
9176536667160671
1042534411443524
1112609819432180
12492b5543b9284
131a96c932805b0
14a7096844dd40
154db63e8a0cd4
hex26af507c1d44

42534411443524 has 192 divisors, whose sum is σ = 100934121480192. Its totient is φ = 15145149312000.

The previous prime is 42534411443519. The next prime is 42534411443543.

42534411443524 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2444357224 + ... + 2444374624.

It is an arithmetic number, because the mean of its divisors is an integer number (525698549376).

Almost surely, 242534411443524 is an apocalyptic number.

42534411443524 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 42534411443524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50467060740096).

42534411443524 is an abundant number, since it is smaller than the sum of its proper divisors (58399710036668).

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

42534411443524 is a wasteful number, since it uses less digits than its factorization.

42534411443524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23466 (or 23464 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4253441 and 1443524, that added together give a palindrome (5696965).

The spelling of 42534411443524 in words is "forty-two trillion, five hundred thirty-four billion, four hundred eleven million, four hundred forty-three thousand, five hundred twenty-four".