Search a number
-
+
15114242115 = 3357113141539
BaseRepresentation
bin11100001001110000…
…10000100001000011
31110000100010001102000
432010320100201003
5221423221221430
610535434355043
71043354636550
oct160470204103
943010101360
1015114242115
116456660895
122b1988ba83
13156b40823b
14a35481a27
155d6d7de60
hex384e10843

15114242115 has 64 divisors (see below), whose sum is σ = 30980275200. Its totient is φ = 6848174592.

The previous prime is 15114242111. The next prime is 15114242123. The reversal of 15114242115 is 51124241151.

15114242115 is a `hidden beast` number, since 15 + 11 + 424 + 211 + 5 = 666.

It is not a de Polignac number, because 15114242115 - 22 = 15114242111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (15114242111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36016 + ... + 177554.

It is an arithmetic number, because the mean of its divisors is an integer number (484066800).

Almost surely, 215114242115 is an apocalyptic number.

15114242115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15114242115 is an abundant number, since it is smaller than the sum of its proper divisors (15866033085).

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

15114242115 is a wasteful number, since it uses less digits than its factorization.

15114242115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141673 (or 141667 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

Adding to 15114242115 its reverse (51124241151), we get a palindrome (66238483266).

It can be divided in two parts, 151142421 and 15, that added together give a square (151142436 = 122942).

The spelling of 15114242115 in words is "fifteen billion, one hundred fourteen million, two hundred forty-two thousand, one hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 113 135 189 315 339 565 791 945 1017 1695 2373 3051 3955 5085 7119 11865 15255 21357 35595 106785 141539 424617 707695 990773 1273851 2123085 2972319 3821553 4953865 6369255 8916957 14861595 15993907 19107765 26750871 44584785 47981721 79969535 111957349 133754355 143945163 239908605 335872047 431835489 559786745 719725815 1007616141 1679360235 2159177445 3022848423 5038080705 15114242115