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42161326389 = 33713295631051
BaseRepresentation
bin100111010001000000…
…101100100100110101
311000211021222021221000
4213101000230210311
51142321244421024
631211343313513
73021540234630
oct472100544465
9130737867830
1042161326389
1116975a735a6
1282078ab899
133c8ba93010
14207d65cc17
15116b614cc9
hex9d102c935

42161326389 has 128 divisors (see below), whose sum is σ = 79743283200. Its totient is φ = 21413548800.

The previous prime is 42161326387. The next prime is 42161326399. The reversal of 42161326389 is 98362316124.

42161326389 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 1 + 3 + 2 + 638 + 9 = 666.

It is not a de Polignac number, because 42161326389 - 21 = 42161326387 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161326387) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40114914 + ... + 40115964.

It is an arithmetic number, because the mean of its divisors is an integer number (622994400).

Almost surely, 242161326389 is an apocalyptic number.

It is an amenable number.

42161326389 is a deficient number, since it is larger than the sum of its proper divisors (37581956811).

42161326389 is a wasteful number, since it uses less digits than its factorization.

42161326389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1666 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 42161326389 in words is "forty-two billion, one hundred sixty-one million, three hundred twenty-six thousand, three hundred eighty-nine".

Divisors: 1 3 7 9 13 21 27 29 39 63 87 91 117 189 203 261 273 351 377 563 609 783 819 1051 1131 1689 1827 2457 2639 3153 3393 3941 5067 5481 7319 7357 7917 9459 10179 11823 13663 15201 16327 21957 22071 23751 28377 30479 35469 40989 48981 51233 65871 66213 71253 91437 95641 106407 114289 122967 146943 153699 197613 198639 212251 213353 274311 286923 342867 368901 396227 440829 461097 591713 636753 640059 822933 860769 1028601 1188681 1383291 1485757 1775139 1910259 1920177 2582307 2773589 3085803 3566043 4141991 4457271 5325417 5730777 5760531 7692269 8320767 10698129 12425973 13371813 15976251 17159677 23076807 24962301 37277919 40115439 51479031 53845883 69230421 74886903 111833757 120117739 154437093 161537649 207691263 223075801 360353217 463311279 484612947 669227403 1081059651 1453838841 1561530607 2007682209 3243178953 4684591821 6023046627 14053775463 42161326389