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431031424240 = 24529593148973
BaseRepresentation
bin1100100010110110111…
…10011001010011110000
31112012120022200001102201
412101123132121103300
524030223021033430
6530002455152544
743066234440424
oct6213336312360
91465508601381
10431031424240
1115688800275a
126b653675754
13318525c3931
1416c0d5b8b84
15b32ad5e8ca
hex645b7994f0

431031424240 has 80 divisors (see below), whose sum is σ = 1054276495200. Its totient is φ = 163645776896.

The previous prime is 431031424217. The next prime is 431031424253. The reversal of 431031424240 is 42424130134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 431031424199 and 431031424208.

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, 1437607 + ... + 1711366.

It is an arithmetic number, because the mean of its divisors is an integer number (13178456190).

Almost surely, 2431031424240 is an apocalyptic number.

431031424240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431031424240 is an abundant number, since it is smaller than the sum of its proper divisors (623245070960).

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

431031424240 is a wasteful number, since it uses less digits than its factorization.

431031424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149074 (or 3149068 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 431031424240 its reverse (42424130134), we get a palindrome (473455554374).

The spelling of 431031424240 in words is "four hundred thirty-one billion, thirty-one million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 59 80 116 118 145 232 236 290 295 464 472 580 590 944 1160 1180 1711 2320 2360 3422 4720 6844 8555 13688 17110 27376 34220 68440 136880 3148973 6297946 12595892 15744865 25191784 31489730 50383568 62979460 91320217 125958920 182640434 185789407 251917840 365280868 371578814 456601085 730561736 743157628 913202170 928947035 1461123472 1486315256 1826404340 1857894070 2972630512 3652808680 3715788140 5387892803 7305617360 7431576280 10775785606 14863152560 21551571212 26939464015 43103142424 53878928030 86206284848 107757856060 215515712120 431031424240