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10044234440 = 23517136110853
BaseRepresentation
bin10010101101010111…
…01101101011001000
3221220222222222100222
421112223231223020
5131032311000230
64340402445212
7503622404222
oct112653555310
927828888328
1010044234440
114294787aa9
121b43963808
13c40c074b6
146b3d99412
153dbbe96e5
hex256aedac8

10044234440 has 64 divisors (see below), whose sum is σ = 23948699760. Its totient is φ = 3778232320.

The previous prime is 10044234437. The next prime is 10044234443. The reversal of 10044234440 is 4443244001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10044234437) and next prime (10044234443).

It can be written as a sum of positive squares in 8 ways, for example, as 4180656964 + 5863577476 = 64658^2 + 76574^2 .

It is a super-2 number, since 2×100442344402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10044234443) 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, 920054 + ... + 930906.

Almost surely, 210044234440 is an apocalyptic number.

10044234440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10044234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974349880).

10044234440 is an abundant number, since it is smaller than the sum of its proper divisors (13904465320).

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

10044234440 is a wasteful number, since it uses less digits than its factorization.

10044234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12242 (or 12238 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 10044234440 its reverse (4443244001), we get a palindrome (14487478441).

The spelling of 10044234440 in words is "ten billion, forty-four million, two hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1361 2722 5444 6805 10853 10888 13610 21706 23137 27220 43412 46274 54265 54440 86824 92548 108530 115685 184501 185096 217060 231370 369002 434120 462740 738004 922505 925480 1476008 1845010 3690020 7380040 14770933 29541866 59083732 73854665 118167464 147709330 251105861 295418660 502211722 590837320 1004423444 1255529305 2008846888 2511058610 5022117220 10044234440