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15052034040 = 23351012275471
BaseRepresentation
bin11100000010010101…
…11100111111111000
31102212000001112222020
432001022330333320
5221311310042130
610525333154440
71042001115111
oct160112747770
942760045866
1015052034040
116424531a5a
122b00a8ba20
13155b567224
14a2b0cb208
155d1691e10
hex3812bcff8

15052034040 has 128 divisors (see below), whose sum is σ = 45812459520. Its totient is φ = 3955904000.

The previous prime is 15052033999. The next prime is 15052034057. The reversal of 15052034040 is 4043025051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15052034040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2748505 + ... + 2753975.

It is an arithmetic number, because the mean of its divisors is an integer number (357909840).

Almost surely, 215052034040 is an apocalyptic number.

15052034040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15052034040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22906229760).

15052034040 is an abundant number, since it is smaller than the sum of its proper divisors (30760425480).

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

15052034040 is a wasteful number, since it uses less digits than its factorization.

15052034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5813 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 15052034040 its reverse (4043025051), we get a palindrome (19095059091).

The spelling of 15052034040 in words is "fifteen billion, fifty-two million, thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 227 303 404 454 505 606 681 808 908 1010 1135 1212 1362 1515 1816 2020 2270 2424 2724 3030 3405 4040 4540 5448 5471 6060 6810 9080 10942 12120 13620 16413 21884 22927 27240 27355 32826 43768 45854 54710 65652 68781 82065 91708 109420 114635 131304 137562 164130 183416 218840 229270 275124 328260 343905 458540 550248 552571 656520 687810 917080 1105142 1241917 1375620 1657713 2210284 2483834 2751240 2762855 3315426 3725751 4420568 4967668 5525710 6209585 6630852 7451502 8288565 9935336 11051420 12419170 13261704 14903004 16577130 18628755 22102840 24838340 29806008 33154260 37257510 49676680 66308520 74515020 125433617 149030040 250867234 376300851 501734468 627168085 752601702 1003468936 1254336170 1505203404 1881504255 2508672340 3010406808 3763008510 5017344680 7526017020 15052034040