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10023341040 = 2432565321319
BaseRepresentation
bin10010101010111000…
…00000101111110000
3221212112200111000100
421111130000233300
5131011433403130
64334334552400
7503246664426
oct112534005760
927775614010
1010023341040
114283a07529
121b38968700
13c397a053b
146b12bb116
153d9e6dc60
hex255700bf0

10023341040 has 120 divisors (see below), whose sum is σ = 33714851040. Its totient is φ = 2668672512.

The previous prime is 10023341017. The next prime is 10023341047. The reversal of 10023341040 is 4014332001.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023341047) 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, 459501 + ... + 480819.

It is an arithmetic number, because the mean of its divisors is an integer number (280957092).

Almost surely, 210023341040 is an apocalyptic number.

10023341040 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 10023341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16857425520).

10023341040 is an abundant number, since it is smaller than the sum of its proper divisors (23691510000).

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

10023341040 is a wasteful number, since it uses less digits than its factorization.

10023341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21991 (or 21982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10023341040 its reverse (4014332001), we get a palindrome (14037673041).

The spelling of 10023341040 in words is "ten billion, twenty-three million, three hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 653 720 1306 1959 2612 3265 3918 5224 5877 6530 7836 9795 10448 11754 13060 15672 19590 21319 23508 26120 29385 31344 39180 42638 47016 52240 58770 63957 78360 85276 94032 106595 117540 127914 156720 170552 191871 213190 235080 255828 319785 341104 383742 426380 470160 511656 639570 767484 852760 959355 1023312 1279140 1534968 1705520 1918710 2558280 3069936 3837420 5116560 7674840 13921307 15349680 27842614 41763921 55685228 69606535 83527842 111370456 125291763 139213070 167055684 208819605 222740912 250583526 278426140 334111368 417639210 501167052 556852280 626458815 668222736 835278420 1002334104 1113704560 1252917630 1670556840 2004668208 2505835260 3341113680 5011670520 10023341040