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10031444440 = 2351937356737
BaseRepresentation
bin10010101011110101…
…11011000111011000
3221220002221011210021
421111322323013120
5131021022210230
64335224400224
7503405604463
oct112572730730
927802834707
1010031444440
114288541756
121b3b616074
13c3b379a54
146b23ca2da
153daa1ec7a
hex255ebb1d8

10031444440 has 64 divisors (see below), whose sum is σ = 24400879200. Its totient is φ = 3698638848.

The previous prime is 10031444429. The next prime is 10031444443. The reversal of 10031444440 is 4444413001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031444443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150249 + ... + 206488.

Almost surely, 210031444440 is an apocalyptic number.

10031444440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031444440 is an abundant number, since it is smaller than the sum of its proper divisors (14369434760).

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

10031444440 is a wasteful number, since it uses less digits than its factorization.

10031444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356804 (or 356800 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 10031444440 its reverse (4444413001), we get a palindrome (14475857441).

The spelling of 10031444440 in words is "ten billion, thirty-one million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 5624 7030 14060 28120 356737 713474 1426948 1783685 2853896 3567370 6778003 7134740 13199269 13556006 14269480 26398538 27112012 33890015 52797076 54224024 65996345 67780030 105594152 131992690 135560060 250786111 263985380 271120120 501572222 527970760 1003144444 1253930555 2006288888 2507861110 5015722220 10031444440