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42541411414524 = 223111916962285253
BaseRepresentation
bin10011010110000111100011…
…01101110011000111111100
312120121220211002212101202120
421223003301231303013330
521033444302310231044
6230251130554522540
711650341555455211
oct1153036155630774
9176556732771676
1042541411414524
1112611790766a80
124930988736450
131a9783a576279
14a7102dd9db08
154db8ee1b1519
hex26b0f1b731fc

42541411414524 has 48 divisors (see below), whose sum is σ = 113986556906880. Its totient is φ = 12212845381440.

The previous prime is 42541411414511. The next prime is 42541411414549.

42541411414524 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8481140119 + ... + 8481145134.

It is an arithmetic number, because the mean of its divisors is an integer number (2374719935560).

Almost surely, 242541411414524 is an apocalyptic number.

42541411414524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42541411414524 is an abundant number, since it is smaller than the sum of its proper divisors (71445145492356).

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

42541411414524 is a wasteful number, since it uses less digits than its factorization.

42541411414524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16962285290 (or 16962285288 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

It can be divided in two parts, 4254141 and 1414524, that added together give a palindrome (5668665).

The spelling of 42541411414524 in words is "forty-two trillion, five hundred forty-one billion, four hundred eleven million, four hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 16962285253 33924570506 50886855759 67849141012 101773711518 186585137783 203547423036 322283419807 373170275566 559755413349 644566839614 746340551132 966850259421 1119510826698 1289133679228 1933700518842 2239021653396 3545117617877 3867401037684 7090235235754 10635352853631 14180470471508 21270705707262 42541411414524