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431311140 = 2232513184321
BaseRepresentation
bin11001101101010…
…100100100100100
31010001120212122200
4121231110210210
51340403424030
6110444254500
713455040611
oct3155244444
91101525580
10431311140
11201511497
12100541430
136b4852c0
14413d5508
1527cead60
hex19b54924

431311140 has 72 divisors (see below), whose sum is σ = 1408957368. Its totient is φ = 106168320.

The previous prime is 431311117. The next prime is 431311159. The reversal of 431311140 is 41113134.

It can be written as a sum of positive squares in 4 ways, for example, as 40220964 + 391090176 = 6342^2 + 19776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89821 + ... + 94500.

Almost surely, 2431311140 is an apocalyptic number.

It is an amenable number.

431311140 is an abundant number, since it is smaller than the sum of its proper divisors (977646228).

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

431311140 is a wasteful number, since it uses less digits than its factorization.

431311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184349 (or 184344 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 431311140 is about 20768.0316833348. The cubic root of 431311140 is about 755.5506063529.

Adding to 431311140 its reverse (41113134), we get a palindrome (472424274).

The spelling of 431311140 in words is "four hundred thirty-one million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 184321 368642 552963 737284 921605 1105926 1658889 1843210 2211852 2396173 2764815 3317778 3686420 4792346 5529630 6635556 7188519 8294445 9584692 11059260 11980865 14377038 16588890 21565557 23961730 28754076 33177780 35942595 43131114 47923460 71885190 86262228 107827785 143770380 215655570 431311140