Search a number
-
+
15106461543240 = 23351031122102017
BaseRepresentation
bin1101101111010011111101…
…0001100010101101001000
31222111011102021112010110120
43123310333101202231020
53440001013123340430
652043451305543240
73116256125320434
oct333647721425510
958434367463416
1015106461543240
1148a4683797761
12183b8974a4b20
138576c1606a92
143a3229b699c4
151b2e48ca5610
hexdbd3f462b48

15106461543240 has 64 divisors (see below), whose sum is σ = 45363341727360. Its totient is φ = 4024482447360.

The previous prime is 15106461543197. The next prime is 15106461543241. The reversal of 15106461543240 is 4234516460151.

It is a junction number, because it is equal to n+sod(n) for n = 15106461543192 and 15106461543201.

It is not an unprimeable number, because it can be changed into a prime (15106461543241) 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, 60927289 + ... + 61174728.

It is an arithmetic number, because the mean of its divisors is an integer number (708802214490).

Almost surely, 215106461543240 is an apocalyptic number.

15106461543240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15106461543240 is an abundant number, since it is smaller than the sum of its proper divisors (30256880184120).

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

15106461543240 is a wasteful number, since it uses less digits than its factorization.

15106461543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122103062 (or 122103058 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 15106461543240 in words is "fifteen trillion, one hundred six billion, four hundred sixty-one million, five hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1031 2062 3093 4124 5155 6186 8248 10310 12372 15465 20620 24744 30930 41240 61860 123720 122102017 244204034 366306051 488408068 610510085 732612102 976816136 1221020170 1465224204 1831530255 2442040340 2930448408 3663060510 4884080680 7326121020 14652242040 125887179527 251774359054 377661538581 503548718108 629435897635 755323077162 1007097436216 1258871795270 1510646154324 1888307692905 2517743590540 3021292308648 3776615385810 5035487181080 7553230771620 15106461543240