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31144430040 = 23352411107647
BaseRepresentation
bin11101000000010110…
…100100100111011000
32222101111201222020220
4131000112210213120
51002240433230130
622150233120040
72151534200403
oct350026444730
988344658226
1031144430040
1112232245289
126052259020
132c24500b39
141716430d3a
15c24339410
hex7405a49d8

31144430040 has 64 divisors (see below), whose sum is σ = 93472911360. Its totient is φ = 8301659520.

The previous prime is 31144430017. The next prime is 31144430063. The reversal of 31144430040 is 4003444113.

It is an interprime number because it is at equal distance from previous prime (31144430017) and next prime (31144430063).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 235497 + ... + 343143.

It is an arithmetic number, because the mean of its divisors is an integer number (1460514240).

Almost surely, 231144430040 is an apocalyptic number.

31144430040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144430040 is an abundant number, since it is smaller than the sum of its proper divisors (62328481320).

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

31144430040 is a wasteful number, since it uses less digits than its factorization.

31144430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110072 (or 110068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31144430040 its reverse (4003444113), we get a palindrome (35147874153).

The spelling of 31144430040 in words is "thirty-one billion, one hundred forty-four million, four hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2411 4822 7233 9644 12055 14466 19288 24110 28932 36165 48220 57864 72330 96440 107647 144660 215294 289320 322941 430588 538235 645882 861176 1076470 1291764 1614705 2152940 2583528 3229410 4305880 6458820 12917640 259536917 519073834 778610751 1038147668 1297684585 1557221502 2076295336 2595369170 3114443004 3893053755 5190738340 6228886008 7786107510 10381476680 15572215020 31144430040