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432234400020 = 223559173705781
BaseRepresentation
bin1100100101000110010…
…11011000100100010100
31112022200011021112222020
412102203023120210110
524040204001300040
6530322111133140
743141112531433
oct6224313304424
91468604245866
10432234400020
11157345061215
126b92a5141b0
13319b48ba717
1416cc528111a
15b39b786cd0
hex64a32d8914

432234400020 has 96 divisors (see below), whose sum is σ = 1237885165440. Its totient is φ = 112653780480.

The previous prime is 432234399953. The next prime is 432234400033. The reversal of 432234400020 is 20004432234.

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, 259530 + ... + 965310.

It is an arithmetic number, because the mean of its divisors is an integer number (12894637140).

Almost surely, 2432234400020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432234400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618942582720).

432234400020 is an abundant number, since it is smaller than the sum of its proper divisors (805650765420).

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

432234400020 is a wasteful number, since it uses less digits than its factorization.

432234400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706025 (or 706023 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 432234400020 its reverse (20004432234), we get a palindrome (452238832254).

The spelling of 432234400020 in words is "four hundred thirty-two billion, two hundred thirty-four million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 173 177 236 295 346 354 519 590 692 708 865 885 1038 1180 1730 1770 2076 2595 3460 3540 5190 10207 10380 20414 30621 40828 51035 61242 102070 122484 153105 204140 306210 612420 705781 1411562 2117343 2823124 3528905 4234686 7057810 8469372 10586715 14115620 21173430 41641079 42346860 83282158 122100113 124923237 166564316 208205395 244200226 249846474 366300339 416410790 488400452 499692948 610500565 624616185 732600678 832821580 1221001130 1249232370 1465201356 1831501695 2442002260 2498464740 3663003390 7203906667 7326006780 14407813334 21611720001 28815626668 36019533335 43223440002 72039066670 86446880004 108058600005 144078133340 216117200010 432234400020