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31310441040 = 2435886714713
BaseRepresentation
bin11101001010001111…
…110110101001010000
32222211002010012112110
4131022033312221100
51003110433103130
622214523225320
72155621233444
oct351217665120
988732105473
1031310441040
1112307a2285a
126099978240
132c4ca175b8
1417304c6824
15c33bccab0
hex74a3f6a50

31310441040 has 80 divisors (see below), whose sum is σ = 97079911488. Its totient is φ = 8347941888.

The previous prime is 31310441021. The next prime is 31310441047. The reversal of 31310441040 is 4014401313.

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 = 31310440998 and 31310441016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31310441047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2120724 + ... + 2135436.

Almost surely, 231310441040 is an apocalyptic number.

31310441040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31310441040 is an abundant number, since it is smaller than the sum of its proper divisors (65769470448).

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

31310441040 is a wasteful number, since it uses less digits than its factorization.

31310441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23596 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 31310441040 its reverse (4014401313), we get a palindrome (35324842353).

The spelling of 31310441040 in words is "thirty-one billion, three hundred ten million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8867 14713 17734 26601 29426 35468 44139 44335 53202 58852 70936 73565 88278 88670 106404 117704 133005 141872 147130 176556 177340 212808 220695 235408 266010 294260 353112 354680 425616 441390 532020 588520 706224 709360 882780 1064040 1177040 1765560 2128080 3531120 130460171 260920342 391380513 521840684 652300855 782761026 1043681368 1304601710 1565522052 1956902565 2087362736 2609203420 3131044104 3913805130 5218406840 6262088208 7827610260 10436813680 15655220520 31310441040