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423142104 = 2337111713469
BaseRepresentation
bin11001001110001…
…010001011011000
31002111012211211210
4121032022023120
51331311021404
6105553223120
713325435310
oct3116121330
91074184753
10423142104
111a7941a20
12b9861aa0
1369884c58
14402aa440
1527235689
hex1938a2d8

423142104 has 128 divisors (see below), whose sum is σ = 1396569600. Its totient is φ = 103434240.

The previous prime is 423142079. The next prime is 423142117. The reversal of 423142104 is 401241324.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24682 + ... + 38150.

It is an arithmetic number, because the mean of its divisors is an integer number (10910700).

Almost surely, 2423142104 is an apocalyptic number.

423142104 is a gapful number since it is divisible by the number (44) 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 423142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698284800).

423142104 is an abundant number, since it is smaller than the sum of its proper divisors (973427496).

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

423142104 is a wasteful number, since it uses less digits than its factorization.

423142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13513 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 423142104 is about 20570.4181775675. The cubic root of 423142104 is about 750.7501259424.

Adding to 423142104 its reverse (401241324), we get a palindrome (824383428).

The spelling of 423142104 in words is "four hundred twenty-three million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 10472 13469 15708 26938 31416 40407 53876 80814 94283 107752 148159 161628 188566 228973 282849 296318 323256 377132 444477 457946 565698 592636 686919 754264 888954 915892 1037113 1131396 1185272 1373838 1602811 1777908 1831784 2074226 2262792 2518703 2747676 3111339 3205622 3555816 4148452 4808433 5037406 5495352 6222678 6411244 7556109 8296904 9616866 10074812 12445356 12822488 15112218 17630921 19233732 20149624 24890712 30224436 35261842 38467464 52892763 60448872 70523684 105785526 141047368 211571052 423142104