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15340200431025 = 3524159315495431
BaseRepresentation
bin1101111100111010101100…
…1100101000110110110001
32000022111201221110220011110
43133032223030220312301
54002313212302243100
652343105113303533
73142202316143661
oct337165314506661
960274657426143
1015340200431025
114984819252698
12187904a104ba9
138737617a9182
143b0680a7a1a1
151b90791ec250
hexdf3ab328db1

15340200431025 has 96 divisors (see below), whose sum is σ = 26046470419200. Its totient is φ = 7961822208000.

The previous prime is 15340200430991. The next prime is 15340200431027. The reversal of 15340200431025 is 52013400204351.

It is not a de Polignac number, because 15340200431025 - 216 = 15340200365489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15340200430983 and 15340200431001.

It is not an unprimeable number, because it can be changed into a prime (15340200431027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2824560060 + ... + 2824565490.

It is an arithmetic number, because the mean of its divisors is an integer number (271317400200).

Almost surely, 215340200431025 is an apocalyptic number.

15340200431025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15340200431025 is a deficient number, since it is larger than the sum of its proper divisors (10706269988175).

15340200431025 is a wasteful number, since it uses less digits than its factorization.

15340200431025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7622 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 15340200431025 its reverse (52013400204351), we get a palindrome (67353600635376).

The spelling of 15340200431025 in words is "fifteen trillion, three hundred forty billion, two hundred million, four hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 15 25 41 75 123 205 593 615 1025 1549 1779 2965 3075 4647 5431 7745 8895 14825 16293 23235 24313 27155 38725 44475 63509 72939 81465 116175 121565 135775 190527 222671 317545 364695 407325 607825 668013 918557 952635 1113355 1587725 1823475 2755671 3220583 3340065 4592785 4763175 5566775 8412619 9661749 13778355 16102915 16700325 22963925 25237857 37660837 42063095 48308745 68891775 80514575 112982511 126189285 132043903 188304185 210315475 241543725 344917379 396131709 564912555 630946425 660219515 941520925 1034752137 1724586895 1980658545 2824562775 3301097575 4988683067 5173760685 8622934475 9903292725 14966049201 24943415335 25868803425 74830246005 124717076675 204536005747 374151230025 613608017241 1022680028735 3068040086205 5113400143675 15340200431025