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15134111400000 = 2635542735903
BaseRepresentation
bin1101110000111010111101…
…0101011000000001000000
31222120210210020121101101110
43130032233111120001000
53440424130004300000
652104303110203320
73121255250242635
oct334165725300100
958523706541343
1015134111400000
11490538238134a
121845113353540
1385a1a9b1b378
143a46d001218c
151b3a16405850
hexdc3af558040

15134111400000 has 336 divisors, whose sum is σ = 50069910820608. Its totient is φ = 4034135040000.

The previous prime is 15134111399983. The next prime is 15134111400049. The reversal of 15134111400000 is 411143151.

It is a self number, because there is not a number n which added to its sum of digits gives 15134111400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2563797049 + ... + 2563802951.

It is an arithmetic number, because the mean of its divisors is an integer number (149017591728).

Almost surely, 215134111400000 is an apocalyptic number.

15134111400000 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 15134111400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034955410304).

15134111400000 is an abundant number, since it is smaller than the sum of its proper divisors (34935799420608).

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

15134111400000 is an frugal number, since it uses more digits than its factorization.

15134111400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10216 (or 10186 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 15134111400000 its reverse (411143151), we get a palindrome (15134522543151).

The spelling of 15134111400000 in words is "fifteen trillion, one hundred thirty-four billion, one hundred eleven million, four hundred thousand".