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76240440042 = 231310124773907
BaseRepresentation
bin100011100000001001…
…0001100101011101010
321021210022211122021120
41013000102030223222
52222120023040132
655005133120110
75336211022254
oct1070022145352
9237708748246
1076240440042
112a373817038
1212938929036
137260289620
143993732cd4
151eb33e002c
hex11c048caea

76240440042 has 64 divisors (see below), whose sum is σ = 165945435264. Its totient is φ = 23211014400.

The previous prime is 76240440013. The next prime is 76240440049. The reversal of 76240440042 is 24004404267.

It is a junction number, because it is equal to n+sod(n) for n = 76240439985 and 76240440012.

It is not an unprimeable number, because it can be changed into a prime (76240440049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19511853 + ... + 19515759.

It is an arithmetic number, because the mean of its divisors is an integer number (2592897426).

Almost surely, 276240440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76240440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82972717632).

76240440042 is an abundant number, since it is smaller than the sum of its proper divisors (89704995222).

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

76240440042 is a wasteful number, since it uses less digits than its factorization.

76240440042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503.

The product of its (nonzero) digits is 43008, while the sum is 33.

The spelling of 76240440042 in words is "seventy-six billion, two hundred forty million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 101 202 303 606 1313 2477 2626 3907 3939 4954 7431 7814 7878 11721 14862 23442 32201 50791 64402 96603 101582 152373 193206 250177 304746 394607 500354 750531 789214 1183821 1501062 2367642 3252301 5129891 6504602 9677639 9756903 10259782 15389673 19355278 19513806 29032917 30779346 58065834 125809307 251618614 377427921 754855842 977441539 1954883078 2932324617 5864649234 12706740007 25413480014 38120220021 76240440042