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432400444120068 = 223317931147310301
BaseRepresentation
bin110001001010001000001001…
…0110111110101110000000100
32002201000002010102001201210020
41202110100102313311300010
5423133422102143320233
64131350004410255140
7160035621045600414
oct14224202267656004
92081002112051706
10432400444120068
11115859aa905a906
12405b6129a274b0
131573725787ac28
1478ac416614644
1534ecadb7a99b3
hex1894412df5c04

432400444120068 has 96 divisors (see below), whose sum is σ = 1058055163576320. Its totient is φ = 137275566480000.

The previous prime is 432400444120067. The next prime is 432400444120123. The reversal of 432400444120068 is 860021444004234.

It is not an unprimeable number, because it can be changed into a prime (432400444120067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14515483 + ... + 32794818.

It is an arithmetic number, because the mean of its divisors is an integer number (11021407953920).

Almost surely, 2432400444120068 is an apocalyptic number.

It is an amenable number.

432400444120068 is an abundant number, since it is smaller than the sum of its proper divisors (625654719456252).

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

432400444120068 is a wasteful number, since it uses less digits than its factorization.

432400444120068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47310729 (or 47310727 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 432400444120068 in words is "four hundred thirty-two trillion, four hundred billion, four hundred forty-four million, one hundred twenty thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 31 62 79 93 124 158 186 237 311 316 372 474 622 933 948 1244 1866 2449 3732 4898 7347 9641 9796 14694 19282 24569 28923 29388 38564 49138 57846 73707 98276 115692 147414 294828 761639 1523278 2284917 3046556 4569834 9139668 47310301 94620602 141930903 189241204 283861806 567723612 1466619331 2933238662 3737513779 4399857993 5866477324 7475027558 8799715986 11212541337 14713503611 14950055116 17599431972 22425082674 29427007222 44140510833 44850165348 58854014444 88281021666 115862927149 176562043332 231725854298 347588781447 456118611941 463451708596 695177562894 912237223882 1162366785269 1368355835823 1390355125788 1824474447764 2324733570538 2736711671646 3487100355807 4649467141076 5473423343292 6974200711614 13948401423228 36033370343339 72066740686678 108100111030017 144133481373356 216200222060034 432400444120068