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31443224232 = 23372573372161
BaseRepresentation
bin11101010010001010…
…011000011010101000
310000011022222021211110
4131102022120122220
51003343431133412
622240025230320
72162122665450
oct352212303250
9100138867743
1031443224232
1112375975832
1261163323a0
132c71398b34
141743dacd60
15c406aad3c
hex7522986a8

31443224232 has 128 divisors (see below), whose sum is σ = 90496823040. Its totient is φ = 8918138880.

The previous prime is 31443224221. The next prime is 31443224233. The reversal of 31443224232 is 23242234413.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31443224232.

It is not an unprimeable number, because it can be changed into a prime (31443224233) 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, 14549232 + ... + 14551392.

It is an arithmetic number, because the mean of its divisors is an integer number (707006430).

Almost surely, 231443224232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45248411520).

31443224232 is an abundant number, since it is smaller than the sum of its proper divisors (59053598808).

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

31443224232 is a wasteful number, since it uses less digits than its factorization.

31443224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2767 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 31443224232 its reverse (23242234413), we get a palindrome (54685458645).

The spelling of 31443224232 in words is "thirty-one billion, four hundred forty-three million, two hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 337 514 674 771 1011 1028 1348 1542 1799 2022 2056 2161 2359 2696 3084 3598 4044 4322 4718 5397 6168 6483 7077 7196 8088 8644 9436 10794 12966 14154 14392 15127 17288 18872 21588 25932 28308 30254 43176 45381 51864 56616 60508 86609 90762 121016 173218 181524 259827 346436 363048 519654 555377 606263 692872 728257 1039308 1110754 1212526 1456514 1666131 1818789 2078616 2184771 2221508 2425052 2913028 3332262 3637578 3887639 4369542 4443016 4850104 5097799 5826056 6664524 7275156 7775278 8739084 10195598 11662917 13329048 14550312 15293397 15550556 17478168 20391196 23325834 30586794 31101112 40782392 46651668 61173588 93303336 122347176 187162049 374324098 561486147 748648196 1122972294 1310134343 1497296392 2245944588 2620268686 3930403029 4491889176 5240537372 7860806058 10481074744 15721612116 31443224232