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15113114240 = 275717198439
BaseRepresentation
bin11100001001100111…
…11101001010000000
31110000020222202020212
432010303331022000
5221422424123430
610535354253252
71043342231360
oct160463751200
943006882225
1015113114240
116455a60464
122b19427228
13156b101a63
14a3526a9a0
155d6c09b95
hex384cfd280

15113114240 has 128 divisors (see below), whose sum is σ = 43720300800. Its totient is φ = 4876812288.

The previous prime is 15113114227. The next prime is 15113114249. The reversal of 15113114240 is 4241131151.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (15113114249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23060 + ... + 175379.

It is an arithmetic number, because the mean of its divisors is an integer number (341564850).

Almost surely, 215113114240 is an apocalyptic number.

15113114240 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 15113114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21860150400).

15113114240 is an abundant number, since it is smaller than the sum of its proper divisors (28607186560).

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

15113114240 is a wasteful number, since it uses less digits than its factorization.

15113114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198482 (or 198470 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 15113114240 its reverse (4241131151), we get a palindrome (19354245391).

The spelling of 15113114240 in words is "fifteen billion, one hundred thirteen million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 15232 19040 38080 76160 198439 396878 793756 992195 1389073 1587512 1984390 2778146 3175024 3373463 3968780 5556292 6350048 6746926 6945365 7937560 11112584 12700096 13493852 13890730 15875120 16867315 22225168 23614241 25400192 26987704 27781460 31750240 33734630 44450336 47228482 53975408 55562920 63500480 67469260 88900672 94456964 107950816 111125840 118071205 127000960 134938520 177801344 188913928 215901632 222251680 236142410 269877040 377827856 431803264 444503360 472284820 539754080 755655712 889006720 944569640 1079508160 1511311424 1889139280 2159016320 3022622848 3778278560 7556557120 15113114240