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4013104125272 = 2311378831395839
BaseRepresentation
bin111010011001011111101…
…001010101010101011000
3112012122112010102020102012
4322121133221111111120
51011222314124002042
612311332232525052
7562636314144014
oct72313751252530
915178463366365
104013104125272
111307a47725970
12549924550788
13231584926808
14dc341851544
156e5cb628e82
hex3a65fa55558

4013104125272 has 64 divisors (see below), whose sum is σ = 8440030310400. Its totient is φ = 1772825927040.

The previous prime is 4013104125263. The next prime is 4013104125307. The reversal of 4013104125272 is 2725214013104.

It is a happy number.

It is a super-2 number, since 2×40131041252722 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 2177129 + ... + 3572967.

It is an arithmetic number, because the mean of its divisors is an integer number (131875473600).

Almost surely, 24013104125272 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 4013104125272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220015155200).

4013104125272 is an abundant number, since it is smaller than the sum of its proper divisors (4426926185128).

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

4013104125272 is a wasteful number, since it uses less digits than its factorization.

4013104125272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396776 (or 1396772 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

Adding to 4013104125272 its reverse (2725214013104), we get a palindrome (6738318138376).

The spelling of 4013104125272 in words is "four trillion, thirteen billion, one hundred four million, one hundred twenty-five thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 148 296 407 814 883 1628 1766 3256 3532 7064 9713 19426 32671 38852 65342 77704 130684 261368 359381 718762 1395839 1437524 2791678 2875048 5583356 11166712 15354229 30708458 51646043 61416916 103292086 122833832 206584172 413168344 568106473 1136212946 1232525837 2272425892 2465051674 4544851784 4930103348 9860206696 13557784207 27115568414 45603455969 54231136828 91206911938 108462273656 182413823876 364827647752 501638015659 1003276031318 2006552062636 4013104125272