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10441442040 = 2335287930223
BaseRepresentation
bin10011011100101101…
…11100001011111000
3222221200102012202120
421232112330023320
5132341002121130
64444032201240
7516514535661
oct115626741370
928850365676
1010441442040
114478a15a47
122034999220
13ca52aba93
14710a34368
15411a0a910
hex26e5bc2f8

10441442040 has 64 divisors (see below), whose sum is σ = 31336243200. Its totient is φ = 2783325312.

The previous prime is 10441442029. The next prime is 10441442047. The reversal of 10441442040 is 4024414401.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10441442040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10441442047) 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, 330369 + ... + 360591.

It is an arithmetic number, because the mean of its divisors is an integer number (489628800).

Almost surely, 210441442040 is an apocalyptic number.

10441442040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441442040 is an abundant number, since it is smaller than the sum of its proper divisors (20894801160).

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

10441442040 is a wasteful number, since it uses less digits than its factorization.

10441442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10441442040 its reverse (4024414401), we get a palindrome (14465856441).

The spelling of 10441442040 in words is "ten billion, four hundred forty-one million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2879 5758 8637 11516 14395 17274 23032 28790 30223 34548 43185 57580 60446 69096 86370 90669 115160 120892 151115 172740 181338 241784 302230 345480 362676 453345 604460 725352 906690 1208920 1813380 3626760 87012017 174024034 261036051 348048068 435060085 522072102 696096136 870120170 1044144204 1305180255 1740240340 2088288408 2610360510 3480480680 5220721020 10441442040