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31144202040 = 2335725296633
BaseRepresentation
bin11101000000010101…
…101100111100111000
32222101111022101111110
4131000111230330320
51002240403431130
622150224200320
72151532230600
oct350025547470
988344271443
1031144202040
11122320a9a56
1260521690a0
132c24451123
1417163b1c00
15c242e1ab0
hex74056cf38

31144202040 has 96 divisors (see below), whose sum is σ = 108686929680. Its totient is φ = 7118673408.

The previous prime is 31144202027. The next prime is 31144202057. The reversal of 31144202040 is 4020244113.

It is a super-2 number, since 2×311442020402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 31144201998 and 31144202016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642437 + ... + 2654196.

Almost surely, 231144202040 is an apocalyptic number.

31144202040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144202040 is an abundant number, since it is smaller than the sum of its proper divisors (77542727640).

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

31144202040 is a wasteful number, since it uses less digits than its factorization.

31144202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296661 (or 5296650 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 31144202040 its reverse (4020244113), we get a palindrome (35164446153).

The spelling of 31144202040 in words is "thirty-one billion, one hundred forty-four million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 5296633 10593266 15889899 21186532 26483165 31779798 37076431 42373064 52966330 63559596 74152862 79449495 105932660 111229293 127119192 148305724 158898990 185382155 211865320 222458586 259535017 296611448 317797980 370764310 444917172 519070034 556146465 635595960 741528620 778605051 889834344 1038140068 1112292930 1297675085 1483057240 1557210102 2076280136 2224585860 2595350170 3114420204 3893025255 4449171720 5190700340 6228840408 7786050510 10381400680 15572101020 31144202040