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431725465514420 = 225711319043264883
BaseRepresentation
bin110001000101001101110101…
…1000000110011000110110100
32002121121112212222201212101122
41202022123223000303012310
5423041342223132430140
64130111535120243112
7156636064333242440
oct14212335300630664
92077545788655348
10431725465514420
11115619818250120
1240507354a70498
13156b86c91c849c
1478878a4465820
1534da2841edab5
hex188a6eb0331b4

431725465514420 has 96 divisors (see below), whose sum is σ = 1166798208393216. Its totient is φ = 130223014300800.

The previous prime is 431725465514407. The next prime is 431725465514423. The reversal of 431725465514420 is 24415564527134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431725465514423) 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, 4521584702 + ... + 4521680181.

It is an arithmetic number, because the mean of its divisors is an integer number (12154148004096).

Almost surely, 2431725465514420 is an apocalyptic number.

It is an amenable number.

431725465514420 is an abundant number, since it is smaller than the sum of its proper divisors (735072742878796).

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

431725465514420 is a wasteful number, since it uses less digits than its factorization.

431725465514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043264941 (or 9043264939 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 53.

The spelling of 431725465514420 in words is "four hundred thirty-one trillion, seven hundred twenty-five billion, four hundred sixty-five million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 3410 4340 4774 6820 9548 11935 23870 47740 9043264883 18086529766 36173059532 45216324415 63302854181 90432648830 99475913713 126605708362 180865297660 198951827426 253211416724 280341211373 316514270905 397903654852 497379568565 560682422746 633028541810 696331395991 994759137130 1121364845492 1266057083620 1392662791982 1401706056865 1962388479611 1989518274260 2785325583964 2803412113730 3083753325103 3481656979955 3924776959222 5606824227460 6167506650206 6963313959910 7849553918444 9811942398055 12335013300412 13926627919820 15418766625515 19623884796110 21586273275721 30837533251030 39247769592220 43172546551442 61675066502060 86345093102884 107931366378605 215862732757210 431725465514420