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15041014240 = 255789150893
BaseRepresentation
bin11100000001000001…
…11010100111100000
31102211020022200122111
432000200322213200
5221300444423430
610524301045104
71041505340320
oct160040724740
942736280574
1015041014240
11641929568a
122ab9256794
1315591a9435
14a2985d280
155d0716c2a
hex38083a9e0

15041014240 has 96 divisors (see below), whose sum is σ = 41067311040. Its totient is φ = 5098942464.

The previous prime is 15041014193. The next prime is 15041014253. The reversal of 15041014240 is 4241014051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24234 + ... + 175126.

It is an arithmetic number, because the mean of its divisors is an integer number (427784490).

Almost surely, 215041014240 is an apocalyptic number.

15041014240 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 15041014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533655520).

15041014240 is an abundant number, since it is smaller than the sum of its proper divisors (26026296800).

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

15041014240 is a wasteful number, since it uses less digits than its factorization.

15041014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151004 (or 150996 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 15041014240 its reverse (4241014051), we get a palindrome (19282028291).

It can be divided in two parts, 150410 and 14240, that multiplied together give a square (2141838400 = 462802).

The spelling of 15041014240 in words is "fifteen billion, forty-one million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 89 112 140 160 178 224 280 356 445 560 623 712 890 1120 1246 1424 1780 2492 2848 3115 3560 4984 6230 7120 9968 12460 14240 19936 24920 49840 99680 150893 301786 603572 754465 1056251 1207144 1508930 2112502 2414288 3017860 4225004 4828576 5281255 6035720 8450008 10562510 12071440 13429477 16900016 21125020 24142880 26858954 33800032 42250040 53717908 67147385 84500080 94006339 107435816 134294770 169000160 188012678 214871632 268589540 376025356 429743264 470031695 537179080 752050712 940063390 1074358160 1504101424 1880126780 2148716320 3008202848 3760253560 7520507120 15041014240