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42015456021 = 37111731345133
BaseRepresentation
bin100111001000010100…
…001111101100010101
311000110010111022101210
4213020110033230111
51142021424043041
631145053012033
73015116324610
oct471024175425
9130403438353
1042015456021
11169006a1a80
128186a84019
133c677ab9a6
14206812b177
15115d8ee016
hex9c850fb15

42015456021 has 64 divisors (see below), whose sum is σ = 76338118656. Its totient is φ = 19879603200.

The previous prime is 42015456013. The next prime is 42015456037. The reversal of 42015456021 is 12065451024.

It is not a de Polignac number, because 42015456021 - 23 = 42015456013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42015456021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015456521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50830 + ... + 294303.

It is an arithmetic number, because the mean of its divisors is an integer number (1192783104).

Almost surely, 242015456021 is an apocalyptic number.

It is an amenable number.

42015456021 is a deficient number, since it is larger than the sum of its proper divisors (34322662635).

42015456021 is a wasteful number, since it uses less digits than its factorization.

42015456021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345202.

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

The spelling of 42015456021 in words is "forty-two billion, fifteen million, four hundred fifty-six thousand, twenty-one".

Divisors: 1 3 7 11 17 21 31 33 51 77 93 119 187 217 231 341 357 527 561 651 1023 1309 1581 2387 3689 3927 5797 7161 11067 17391 40579 121737 345133 1035399 2415931 3796463 5867261 7247793 10699123 11389389 17601783 26575241 32097369 41070827 64539871 74893861 79725723 117690353 123212481 181885091 193619613 224681583 353071059 451779097 545655273 823832471 1273195637 1355337291 2000736001 2471497413 3819586911 6002208003 14005152007 42015456021