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31420420878 = 237111910932839
BaseRepresentation
bin11101010000110011…
…011001001100001110
310000002202001202111210
4131100303121030032
51003322111432003
622233452355250
72161425112410
oct352063311416
9100082052453
1031420420878
1112364010290
12610a775b26
132c69743722
141740d549b0
15c3d6a4503
hex750cd930e

31420420878 has 128 divisors (see below), whose sum is σ = 83229696000. Its totient is φ = 7660448640.

The previous prime is 31420420873. The next prime is 31420420891. The reversal of 31420420878 is 87802402413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420420873) 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, 940383 + ... + 973221.

It is an arithmetic number, because the mean of its divisors is an integer number (650232000).

Almost surely, 231420420878 is an apocalyptic number.

31420420878 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420420878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41614848000).

31420420878 is an abundant number, since it is smaller than the sum of its proper divisors (51809275122).

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

31420420878 is a wasteful number, since it uses less digits than its factorization.

31420420878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32990.

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 31420420878 in words is "thirty-one billion, four hundred twenty million, four hundred twenty thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 109 114 133 154 209 218 231 266 327 399 418 462 627 654 763 798 1199 1254 1463 1526 2071 2289 2398 2926 3597 4142 4389 4578 6213 7194 8393 8778 12426 14497 16786 22781 25179 28994 32839 43491 45562 50358 65678 68343 86982 98517 136686 159467 197034 229873 318934 361229 459746 478401 623941 689619 722458 956802 1083687 1247882 1379238 1871823 2167374 2528603 3579451 3743646 4367587 5057206 6863351 7158902 7585809 8735174 10738353 13102761 13726702 15171618 20590053 21476706 25056157 26205522 39373961 41180106 48043457 50112314 68009569 75168471 78747922 96086914 118121883 136019138 144130371 150336942 204028707 236243766 275617727 288260742 408057414 476066983 551235454 748105259 826853181 952133966 1428200949 1496210518 1653706362 2244315777 2856401898 4488631554 5236736813 10473473626 15710210439 31420420878