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432420213324 = 2231119352948857
BaseRepresentation
bin1100100101011100100…
…00001101001001001100
31112100011002220211220110
412102232100031021030
524041044033311244
6530352345520020
743145530111251
oct6225620151114
91470132824813
10432420213324
1115742aa34530
126b9807a3010
1331a14248618
1416d01c0d428
15b3acc3c9b9
hex64ae40d24c

432420213324 has 96 divisors (see below), whose sum is σ = 1158989932800. Its totient is φ = 124102056960.

The previous prime is 432420213287. The next prime is 432420213347. The reversal of 432420213324 is 423312024234.

It is a junction number, because it is equal to n+sod(n) for n = 432420213291 and 432420213300.

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, 8826304 + ... + 8875160.

It is an arithmetic number, because the mean of its divisors is an integer number (12072811800).

Almost surely, 2432420213324 is an apocalyptic number.

432420213324 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 432420213324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579494966400).

432420213324 is an abundant number, since it is smaller than the sum of its proper divisors (726569719476).

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

432420213324 is a wasteful number, since it uses less digits than its factorization.

432420213324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52423 (or 52421 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 432420213324 its reverse (423312024234), we get a palindrome (855732237558).

The spelling of 432420213324 in words is "four hundred thirty-two billion, four hundred twenty million, two hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 3529 7058 10587 14116 21174 38819 42348 48857 67051 77638 97714 116457 134102 146571 155276 195428 201153 232914 268204 293142 402306 465828 537427 586284 737561 804612 928283 1074854 1475122 1612281 1856566 2149708 2212683 2784849 2950244 3224562 3713132 4425366 5569698 6449124 8850732 10211113 11139396 20422226 30633339 40844452 61266678 122533356 172416353 344832706 517249059 689665412 1034498118 1896579883 2068996236 3275910707 3793159766 5689739649 6551821414 7586319532 9827732121 11379479298 13103642828 19655464242 22758958596 36035017777 39310928484 72070035554 108105053331 144140071108 216210106662 432420213324