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10031131440 = 24325111266557
BaseRepresentation
bin10010101011110011…
…01110101100110000
3221220002100021102200
421111321232230300
5131020432201230
64335213543200
7503403132111
oct112571565460
927802307380
1010031131440
114288348580
121b3b4a4b00
13c3b29a445
146b2348208
153da9ac160
hex255e6eb30

10031131440 has 120 divisors (see below), whose sum is σ = 36750446928. Its totient is φ = 2431787520.

The previous prime is 10031131421. The next prime is 10031131447. The reversal of 10031131440 is 4413113001.

10031131440 is a `hidden beast` number, since 1 + 0 + 0 + 311 + 314 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10031131447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625359 + ... + 641198.

Almost surely, 210031131440 is an apocalyptic number.

10031131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031131440 is an abundant number, since it is smaller than the sum of its proper divisors (26719315488).

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

10031131440 is a wasteful number, since it uses less digits than its factorization.

10031131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266587 (or 1266578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10031131440 its reverse (4413113001), we get a palindrome (14444244441).

The spelling of 10031131440 in words is "ten billion, thirty-one million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 1266557 2533114 3799671 5066228 6332785 7599342 10132456 11399013 12665570 13932127 15198684 18998355 20264912 22798026 25331140 27864254 30397368 37996710 41796381 45596052 50662280 55728508 56995065 60794736 69660635 75993420 83592762 91192104 101324560 111457016 113990130 125389143 139321270 151986840 167185524 182384208 208981905 222914032 227980260 250778286 278642540 303973680 334371048 417963810 455960520 501556572 557285080 626945715 668742096 835927620 911921040 1003113144 1114570160 1253891430 1671855240 2006226288 2507782860 3343710480 5015565720 10031131440