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71442939986908 = 22741743160752121
BaseRepresentation
bin10000001111101000011011…
…000011110100001111011100
3100100221212201022202220121221
4100033220123003310033130
533331010120114040113
6411540233351103124
721022403440116220
oct2017503303641734
9310855638686557
1071442939986908
11208448651220a6
12801a154071aa4
1330b306a7c4749
14138dbdcca2780
1583d5dc7c998d
hex40fa1b0f43dc

71442939986908 has 96 divisors (see below), whose sum is σ = 146661921036288. Its totient is φ = 29812273075200.

The previous prime is 71442939986893. The next prime is 71442939986921. The reversal of 71442939986908 is 80968993924417.

It is a super-2 number, since 2×714429399869082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370687088 + ... + 1370739208.

It is an arithmetic number, because the mean of its divisors is an integer number (1527728344128).

Almost surely, 271442939986908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71442939986908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73330960518144).

71442939986908 is an abundant number, since it is smaller than the sum of its proper divisors (75218981049380).

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

71442939986908 is a wasteful number, since it uses less digits than its factorization.

71442939986908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54523 (or 54521 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 79.

The spelling of 71442939986908 in words is "seventy-one trillion, four hundred forty-two billion, nine hundred thirty-nine million, nine hundred eighty-six thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 743 1148 1486 1607 2972 3214 5201 6428 10402 11249 20804 22498 30463 44996 52121 60926 65887 104242 121852 131774 208484 213241 263548 364847 426482 461209 729694 852964 922418 1194001 1459388 1844836 2136961 2388002 4273922 4776004 8358007 8547844 14958727 16716014 29917454 33432028 38725903 48954041 59834908 77451806 83758447 97908082 154903612 167516894 195816164 271081321 335033788 342678287 542162642 586309129 685356574 1084325284 1172618258 1370713148 1587762023 2345236516 3175524046 3434096327 6351048092 6868192654 11114334161 13736385308 22228668322 24038674289 44457336644 48077348578 62232526121 96154697156 124465052242 248930104484 435627682847 871255365694 1742510731388 2551533570961 5103067141922 10206134283844 17860734996727 35721469993454 71442939986908