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431214312112120 = 23577354072579273
BaseRepresentation
bin110001000001011111110011…
…1111001010011111111111000
32002112210200111211102121112001
41202002333213321103333320
5423010003402400041440
64125041041545030344
7156554130433100155
oct14202774771237770
92075720454377461
10431214312112120
11115441a654a9479
12404442807853b4
131567c4484326a4
14786ac53c3d22c
1534cbd19328b9a
hex1882fe7e53ff8

431214312112120 has 64 divisors (see below), whose sum is σ = 971667402750720. Its totient is φ = 172230660824064.

The previous prime is 431214312112093. The next prime is 431214312112139. The reversal of 431214312112120 is 21211213412134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165894804 + ... + 168474076.

It is an arithmetic number, because the mean of its divisors is an integer number (15182303167980).

Almost surely, 2431214312112120 is an apocalyptic number.

431214312112120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431214312112120 is an abundant number, since it is smaller than the sum of its proper divisors (540453090638600).

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

431214312112120 is a wasteful number, since it uses less digits than its factorization.

431214312112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585464 (or 2585460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 431214312112120 its reverse (21211213412134), we get a palindrome (452425525524254).

The spelling of 431214312112120 in words is "four hundred thirty-one trillion, two hundred fourteen billion, three hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 773 1546 3092 3865 5407 6184 7730 10814 15460 21628 27035 30920 43256 54070 108140 216280 2579273 4179611 5158546 8359222 10317092 12896365 16718444 20634184 20898055 25792730 33436888 41796110 51585460 83592220 103170920 167184440 1993778029 3987556058 7975112116 9968890145 13946129111 15950224232 19937780290 27892258222 39875560580 55784516444 69730645555 79751121160 111569032888 139461291110 278922582220 557845164440 10780357802803 21560715605606 43121431211212 53901789014015 86242862422424 107803578028030 215607156056060 431214312112120