Search a number
-
+
15141316146540 = 2235594277207951
BaseRepresentation
bin1101110001010101110011…
…0001010011010101101100
31222121111101100121102121220
43130111130301103111230
53441033403413142130
652111454041023340
73121631633465613
oct334253461232554
958544340542556
1015141316146540
11490843a260031
1218465a4184b50
1385aa87680bbc
143a4bb4c2887a
151b3cd8bb5410
hexdc55cc5356c

15141316146540 has 48 divisors (see below), whose sum is σ = 43114256156160. Its totient is φ = 3969248977600.

The previous prime is 15141316146533. The next prime is 15141316146629. The reversal of 15141316146540 is 4564161314151.

It is a junction number, because it is equal to n+sod(n) for n = 15141316146492 and 15141316146501.

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, 2138600436 + ... + 2138607515.

It is an arithmetic number, because the mean of its divisors is an integer number (898213669920).

Almost surely, 215141316146540 is an apocalyptic number.

15141316146540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15141316146540 is an abundant number, since it is smaller than the sum of its proper divisors (27972940009620).

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

15141316146540 is a wasteful number, since it uses less digits than its factorization.

15141316146540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277208022 (or 4277208020 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 15141316146540 in words is "fifteen trillion, one hundred forty-one billion, three hundred sixteen million, one hundred forty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 4277207951 8554415902 12831623853 17108831804 21386039755 25663247706 42772079510 51326495412 64158119265 85544159020 128316238530 252355269109 256632477060 504710538218 757065807327 1009421076436 1261776345545 1514131614654 2523552691090 3028263229308 3785329036635 5047105382180 7570658073270 15141316146540