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13045115312424 = 23321361228476869
BaseRepresentation
bin1011110111010100110101…
…1101101101100100101000
31201012002201111220212020200
42331311031131231210220
53202212344004444144
643424502050152200
72514323055415446
oct275651535554450
951162644825220
1013045115312424
11417a447565768
121568292882660
137381c2741960
1433155bb0db96
151795002a1c69
hexbdd4d76d928

13045115312424 has 96 divisors (see below), whose sum is σ = 38671995016200. Its totient is φ = 3948080279040.

The previous prime is 13045115312423. The next prime is 13045115312497. The reversal of 13045115312424 is 42421351154031.

13045115312424 is a `hidden beast` number, since 1 + 3 + 0 + 451 + 153 + 12 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9659552112324 + 3385563200100 = 3107982^2 + 1839990^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13045115312423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114181339 + ... + 114295530.

Almost surely, 213045115312424 is an apocalyptic number.

It is an amenable number.

13045115312424 is an abundant number, since it is smaller than the sum of its proper divisors (25626879703776).

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

13045115312424 is a wasteful number, since it uses less digits than its factorization.

13045115312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228476955 (or 228476948 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 13045115312424 its reverse (42421351154031), we get a palindrome (55466466466455).

The spelling of 13045115312424 in words is "thirteen trillion, forty-five billion, one hundred fifteen million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 57096 228476869 456953738 685430607 913907476 1370861214 1827814952 2056291821 2741722428 2970199297 4112583642 5483444856 5940398594 8225167284 8910597891 11880797188 13937089009 16450334568 17821195782 23761594376 26731793673 27874178018 35642391564 41811267027 53463587346 55748356036 71284783128 83622534054 106927174692 111496712072 125433801081 167245068108 181182157117 213854349384 250867602162 334490136216 362364314234 501735204324 543546471351 724728628468 1003470408648 1087092942702 1449457256936 1630639414053 2174185885404 3261278828106 4348371770808 6522557656212 13045115312424