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42151015004 = 22722914934967
BaseRepresentation
bin100111010000011001…
…010111001001011100
311000210120120102100212
4213100121113021130
51142311124440004
631210334311552
73021353500400
oct472031271134
9130716512325
1042151015004
111697017049a
1282043585b8
133c898c27c7
14207c137100
15116a77996e
hex9d065725c

42151015004 has 72 divisors (see below), whose sum is σ = 88843638240. Its totient is φ = 17426607744.

The previous prime is 42151015001. The next prime is 42151015037. The reversal of 42151015004 is 40051015124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42151015001) 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 23 ways as a sum of consecutive naturals, for example, 8483729 + ... + 8488695.

It is an arithmetic number, because the mean of its divisors is an integer number (1233939420).

Almost surely, 242151015004 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 42151015004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44421819120).

42151015004 is an abundant number, since it is smaller than the sum of its proper divisors (46692623236).

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

42151015004 is a wasteful number, since it uses less digits than its factorization.

42151015004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6507 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 42151015004 in words is "forty-two billion, one hundred fifty-one million, fifteen thousand, four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 1421 1493 2842 2986 4967 5684 5972 9934 10451 19868 20902 34769 41804 43297 69538 73157 86594 139076 144043 146314 173188 243383 288086 292628 303079 486766 576172 606158 973532 1008301 1212316 2016602 2121553 4033204 4243106 7058107 7415731 8486212 14116214 14831462 28232428 29662924 51910117 103820234 207640468 215056199 363370819 430112398 726741638 860224796 1453483276 1505393393 3010786786 6021573572 10537753751 21075507502 42151015004