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42150605124 = 22359101589453
BaseRepresentation
bin100111010000010111…
…110011000101000100
311000210112210121010010
4213100113303011010
51142311023330444
631210321430220
73021350142405
oct472027630504
9130715717103
1042150605124
111696aa10551
12820419b370
133c897ab084
14207c06b9ac
15116a6e82b9
hex9d05f3144

42150605124 has 48 divisors (see below), whose sum is σ = 101008837440. Its totient is φ = 13675286400.

The previous prime is 42150605087. The next prime is 42150605149.

42150605124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42150605091 and 42150605100.

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, 223219 + ... + 366234.

It is an arithmetic number, because the mean of its divisors is an integer number (2104350780).

Almost surely, 242150605124 is an apocalyptic number.

It is an amenable number.

42150605124 is an abundant number, since it is smaller than the sum of its proper divisors (58858232316).

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

42150605124 is a wasteful number, since it uses less digits than its factorization.

42150605124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589620 (or 589618 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42150605124 in words is "forty-two billion, one hundred fifty million, six hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 59 101 118 177 202 236 303 354 404 606 708 1212 5959 11918 17877 23836 35754 71508 589453 1178906 1768359 2357812 3536718 7073436 34777727 59534753 69555454 104333181 119069506 139110908 178604259 208666362 238139012 357208518 417332724 714417036 3512550427 7025100854 10537651281 14050201708 21075302562 42150605124