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424134304160 = 25572316464841
BaseRepresentation
bin1100010110000000101…
…11111110000110100000
31111112202122112001100212
412023000113332012200
523422111340213120
6522502234033252
742433305046550
oct6130027760640
91445678461325
10424134304160
11153968837316
126a249878828
1330cc36cc2a8
141675759d160
15b0755b86c5
hex62c05fe1a0

424134304160 has 96 divisors (see below), whose sum is σ = 1194952372992. Its totient is φ = 139094968320.

The previous prime is 424134304127. The next prime is 424134304169. The reversal of 424134304160 is 61403431424.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (424134304169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8206661 + ... + 8258180.

It is an arithmetic number, because the mean of its divisors is an integer number (12447420552).

Almost surely, 2424134304160 is an apocalyptic number.

424134304160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

424134304160 is an abundant number, since it is smaller than the sum of its proper divisors (770818068832).

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

424134304160 is a wasteful number, since it uses less digits than its factorization.

424134304160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16464886 (or 16464878 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 424134304160 its reverse (61403431424), we get a palindrome (485537735584).

The spelling of 424134304160 in words is "four hundred twenty-four billion, one hundred thirty-four million, three hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 16464841 32929682 65859364 82324205 115253887 131718728 164648410 230507774 263437456 329296820 378691343 461015548 526874912 576269435 658593640 757382686 922031096 1152538870 1317187280 1514765372 1844062192 1893456715 2305077740 2634374560 2650839401 3029530744 3688124384 3786913430 4610155480 5301678802 6059061488 7573826860 9220310960 10603357604 12118122976 13254197005 15147653720 18440621920 21206715208 26508394010 30295307440 42413430416 53016788020 60590614880 84826860832 106033576040 212067152080 424134304160