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42001314410142 = 23215719974685733
BaseRepresentation
bin10011000110011001100010…
…11011001110111010011110
312111201021201211001211000200
421203030301123032322132
521001122142442111032
6225155045405404330
711563331503620243
oct1143146133167236
9174637654054020
1042001314410142
111242372601572a
1248641772696a6
131a58926240ac9
14a52c3575b5ca
154cc83d2d447c
hex2633316cee9e

42001314410142 has 48 divisors (see below), whose sum is σ = 92042698581600. Its totient is φ = 13841357340096.

The previous prime is 42001314410123. The next prime is 42001314410161. The reversal of 42001314410142 is 24101441310024.

42001314410142 is a `hidden beast` number, since 4 + 200 + 1 + 3 + 1 + 4 + 410 + 1 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (42001314410123) and next prime (42001314410161).

It is a super-2 number, since 2×420013144101422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36780493 + ... + 37905240.

It is an arithmetic number, because the mean of its divisors is an integer number (1917556220450).

Almost surely, 242001314410142 is an apocalyptic number.

42001314410142 is an abundant number, since it is smaller than the sum of its proper divisors (50041384171458).

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

42001314410142 is a wasteful number, since it uses less digits than its factorization.

42001314410142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74686097 (or 74686094 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42001314410142 its reverse (24101441310024), we get a palindrome (66102755720166).

The spelling of 42001314410142 in words is "forty-two trillion, one billion, three hundred fourteen million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 157 199 314 398 471 597 942 1194 1413 1791 2826 3582 31243 62486 93729 187458 281187 562374 74685733 149371466 224057199 448114398 672171597 1344343194 11725660081 14862460867 23451320162 29724921734 35176980243 44587382601 70353960486 89174765202 105530940729 133762147803 211061881458 267524295606 2333406356119 4666812712238 7000219068357 14000438136714 21000657205071 42001314410142