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423504269144 = 231117219876443
BaseRepresentation
bin1100010100110101101…
…00100100111101011000
31111111010201222221210122
412022122310210331120
523414314043103034
6522315530132412
742411554615015
oct6123264447530
91444121887718
10423504269144
11153675134720
126a0b2881108
1330c230187c8
14166d7a3870c
15b03a11662e
hex629ad24f58

423504269144 has 96 divisors (see below), whose sum is σ = 968645908800. Its totient is φ = 171642401280.

The previous prime is 423504269057. The next prime is 423504269171. The reversal of 423504269144 is 441962405324.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 423504269095 and 423504269104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44987 + ... + 921429.

It is an arithmetic number, because the mean of its divisors is an integer number (10090061550).

Almost surely, 2423504269144 is an apocalyptic number.

423504269144 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 423504269144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484322954400).

423504269144 is an abundant number, since it is smaller than the sum of its proper divisors (545141639656).

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

423504269144 is a wasteful number, since it uses less digits than its factorization.

423504269144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876513 (or 876492 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 423504269144 in words is "four hundred twenty-three billion, five hundred four million, two hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 19 22 34 38 44 68 76 88 136 152 187 209 289 323 374 418 578 646 748 836 1156 1292 1496 1672 2312 2584 3179 3553 5491 6358 7106 10982 12716 14212 21964 25432 28424 43928 60401 120802 241604 483208 876443 1752886 3505772 7011544 9640873 14899531 16652417 19281746 29799062 33304834 38563492 59598124 66609668 77126984 119196248 133219336 163894841 183176587 253292027 283091089 327789682 366353174 506584054 566182178 655579364 732706348 1013168108 1132364356 1311158728 1465412696 2026336216 2264728712 2786212297 3114001979 4812548513 5572424594 6228003958 9625097026 11144849188 12456007916 19250194052 22289698376 24912015832 38500388104 52938033643 105876067286 211752134572 423504269144