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431300344024 = 23111729311821
BaseRepresentation
bin1100100011010111000…
…00001111100011011000
31112020021001200121000201
412101223200033203120
524031300342002044
6530045303111544
743106011302214
oct6215340174330
91466231617021
10431300344024
11156a05889110
126b7097425b4
133189622bb74
1416c371bb944
15b34477e7d4
hex646b80f8d8

431300344024 has 128 divisors (see below), whose sum is σ = 967540852800. Its totient is φ = 178135910400.

The previous prime is 431300344001. The next prime is 431300344031. The reversal of 431300344024 is 420443003134.

It is a junction number, because it is equal to n+sod(n) for n = 431300343983 and 431300344001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36480034 + ... + 36491854.

Almost surely, 2431300344024 is an apocalyptic number.

431300344024 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 431300344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483770426400).

431300344024 is an abundant number, since it is smaller than the sum of its proper divisors (536240508776).

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

431300344024 is a wasteful number, since it uses less digits than its factorization.

431300344024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 11880 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 431300344024 its reverse (420443003134), we get a palindrome (851743347158).

The spelling of 431300344024 in words is "four hundred thirty-one billion, three hundred million, three hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 116 136 187 232 319 374 493 638 748 841 986 1276 1496 1682 1972 2552 3364 3944 5423 6728 9251 10846 11821 14297 18502 21692 23642 24389 28594 37004 43384 47284 48778 57188 74008 94568 97556 114376 130031 157267 195112 200957 260062 268279 314534 342809 401914 414613 520124 536558 629068 685618 803828 829226 1040248 1073116 1258136 1371236 1607656 1658452 2146232 2210527 2742472 3316904 3770899 4421054 4560743 5827753 7541798 8842108 9121486 9941461 11655506 15083596 17684216 18242972 19882922 23311012 30167192 36485944 39765844 46622024 64105283 79531688 109356071 128210566 169004837 218712142 256421132 288302369 338009674 437424284 512842264 576604738 676019348 874848568 1153209476 1352038696 1859053207 2306418952 3171326059 3718106414 4901140273 6342652118 7436212828 9802280546 12685304236 14872425656 19604561092 25370608472 39209122184 53912543003 107825086006 215650172012 431300344024