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4013145155502 = 2327179491362393
BaseRepresentation
bin111010011001100010000…
…101110110011110101110
3112012122121222121210022100
4322121202011312132232
51011222410124434002
612311340300155530
7562640322662460
oct72314205663656
915178558553270
104013145155502
111307a688aa54a
12549936238ba6
13231590291262
14dc347092130
156e5d003111c
hex3a6621767ae

4013145155502 has 96 divisors (see below), whose sum is σ = 10013207143680. Its totient is φ = 1137881888640.

The previous prime is 4013145155491. The next prime is 4013145155507. The reversal of 4013145155502 is 2055515413104.

4013145155502 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 145 + 1 + 5 + 5 + 502 = 666.

It is a super-2 number, since 2×40131451555022 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013145155507) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10892818 + ... + 11255210.

It is an arithmetic number, because the mean of its divisors is an integer number (104304241080).

Almost surely, 24013145155502 is an apocalyptic number.

4013145155502 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013145155502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006603571840).

4013145155502 is an abundant number, since it is smaller than the sum of its proper divisors (6000061988178).

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

4013145155502 is a wasteful number, since it uses less digits than its factorization.

4013145155502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363078 (or 363075 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 4013145155502 in words is "four trillion, thirteen billion, one hundred forty-five million, one hundred fifty-five thousand, five hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 491 537 982 1074 1253 1473 1611 2506 2946 3222 3437 3759 4419 6874 7518 8838 10311 11277 20622 22554 30933 61866 87889 175778 263667 362393 527334 615223 724786 791001 1087179 1230446 1582002 1845669 2174358 2536751 3261537 3691338 5073502 5537007 6523074 7610253 11074014 15220506 22830759 45661518 64868347 129736694 177934963 194605041 355869926 389210082 454078429 533804889 583815123 908156858 1067609778 1167630246 1245544741 1362235287 1601414667 2491089482 2724470574 3202829334 3736634223 4086705861 7473268446 8173411722 11209902669 22419805338 31850358377 63700716754 95551075131 191102150262 222952508639 286653225393 445905017278 573306450786 668857525917 1337715051834 2006572577751 4013145155502