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42045653131326 = 23213680232641493
BaseRepresentation
bin10011000111101100001000…
…01110000010000000111110
312111212112011212012020002100
421203312010032002000332
521002333444200200301
6225231301214205530
711566461323545035
oct1143660416020076
9174775155166070
1042045653131326
1112440509079159
1248708901b38a6
131a5cb7114c2c0
14a5504025171c
154cda85b4d286
hex263d8438203e

42045653131326 has 48 divisors (see below), whose sum is σ = 98108003369376. Its totient is φ = 12936928955328.

The previous prime is 42045653131309. The next prime is 42045653131327. The reversal of 42045653131326 is 62313135654024.

42045653131326 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 5 + 6 + 5 + 313 + 1 + 326 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045653131327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14596636 + ... + 17238128.

It is an arithmetic number, because the mean of its divisors is an integer number (2043916736862).

Almost surely, 242045653131326 is an apocalyptic number.

42045653131326 is an abundant number, since it is smaller than the sum of its proper divisors (56062350238050).

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

42045653131326 is a wasteful number, since it uses less digits than its factorization.

42045653131326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709537 (or 2709534 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 42045653131326 in words is "forty-two trillion, forty-five billion, six hundred fifty-three million, one hundred thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 68023 136046 204069 408138 612207 884299 1224414 1768598 2641493 2652897 5282986 5305794 7924479 7958691 15848958 15917382 23773437 34339409 47546874 68678818 103018227 206036454 309054681 618109362 179682278339 359364556678 539046835017 1078093670034 1617140505051 2335869618407 3234281010102 4671739236814 7007608855221 14015217710442 21022826565663 42045653131326