Search a number
-
+
15104320451424 = 2532299767185161
BaseRepresentation
bin1101101111001011111110…
…1001111011001101100000
31222110221220001200101122200
43123302333221323031200
53434432122013421144
652042455022533200
73116152066330311
oct333627751731540
958427801611580
1015104320451424
1148a3785142796
12183b39a437200
1385743cb5c449
143a30a5664608
151b2d70d22c69
hexdbcbfa7b360

15104320451424 has 144 divisors (see below), whose sum is σ = 44438835561120. Its totient is φ = 4860636641280.

The previous prime is 15104320451401. The next prime is 15104320451443. The reversal of 15104320451424 is 42415402340151.

15104320451424 is a `hidden beast` number, since 1 + 5 + 104 + 32 + 0 + 4 + 514 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81481404 + ... + 81666564.

It is an arithmetic number, because the mean of its divisors is an integer number (308603024730).

Almost surely, 215104320451424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15104320451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219417780560).

15104320451424 is an abundant number, since it is smaller than the sum of its proper divisors (29334515109696).

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

15104320451424 is a wasteful number, since it uses less digits than its factorization.

15104320451424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194973 (or 194962 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 15104320451424 its reverse (42415402340151), we get a palindrome (57519722791575).

The spelling of 15104320451424 in words is "fifteen trillion, one hundred four billion, three hundred twenty million, four hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 9767 19534 29301 39068 58602 78136 87903 117204 156272 175806 185161 234408 283243 312544 351612 370322 468816 555483 566486 703224 740644 849729 937632 1110966 1132972 1406448 1481288 1666449 1699458 2221932 2265944 2549187 2812896 2962576 3332898 3398916 4443864 4531888 5098374 5369669 5925152 6665796 6797832 8887728 9063776 10196748 10739338 13331592 13595664 16109007 17775456 20393496 21478676 26663184 27191328 32218014 40786992 42957352 48327021 53326368 64436028 81573984 85914704 96654042 128872056 171829408 193308084 257744112 386616168 515488224 773232336 1546464672 1808467487 3616934974 5425402461 7233869948 10850804922 14467739896 16276207383 21701609844 28935479792 32552414766 43403219688 52445557123 57870959584 65104829532 86806439376 104891114246 130209659064 157336671369 173612878752 209782228492 260419318128 314673342738 419564456984 472010014107 520838636256 629346685476 839128913968 944020028214 1258693370952 1678257827936 1888040056428 2517386741904 3776080112856 5034773483808 7552160225712 15104320451424