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15121342013340 = 22352232503745139
BaseRepresentation
bin1101110000001011011000…
…1110000001111110011100
31222112120211022202022221210
43130002312032001332130
53440222002023411330
652054352034024420
73120323644244253
oct334026616017634
958476738668853
1015121342013340
1148aaa1a399132
12184274aa18110
13858c23461b84
143a3c3c15779a
151b351a3588b0
hexdc0b6381f9c

15121342013340 has 96 divisors (see below), whose sum is σ = 42532262922240. Its totient is φ = 4014026286336.

The previous prime is 15121342013329. The next prime is 15121342013363. The reversal of 15121342013340 is 4331024312151.

15121342013340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 15121342013298 and 15121342013307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334972491 + ... + 335017629.

It is an arithmetic number, because the mean of its divisors is an integer number (443044405440).

Almost surely, 215121342013340 is an apocalyptic number.

15121342013340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15121342013340 is an abundant number, since it is smaller than the sum of its proper divisors (27410920908900).

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

15121342013340 is a wasteful number, since it uses less digits than its factorization.

15121342013340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70411 (or 70409 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 15121342013340 its reverse (4331024312151), we get a palindrome (19452366325491).

The spelling of 15121342013340 in words is "fifteen trillion, one hundred twenty-one billion, three hundred forty-two million, thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 25037 45139 50074 75111 90278 100148 125185 135417 150222 180556 225695 250370 270834 300444 375555 451390 500740 541668 677085 751110 902780 1354170 1502220 2708340 5583251 10065997 11166502 16749753 20131994 22333004 27916255 30197991 33499506 40263988 50329985 55832510 60395982 66999012 83748765 100659970 111665020 120791964 150989955 167497530 201319940 301979910 334995060 603959820 1130145143 2260290286 3390435429 4520580572 5650725715 6780870858 11301451430 13561741716 16952177145 22602902860 33904354290 67808708580 252022366889 504044733778 756067100667 1008089467556 1260111834445 1512134201334 2520223668890 3024268402668 3780335503335 5040447337780 7560671006670 15121342013340