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10140411320 = 23513131148861
BaseRepresentation
bin10010111000110101…
…00110010110111000
3222011200222021020122
421130122212112320
5131231421130240
64354120112412
7506201034254
oct113432462670
928150867218
1010140411320
114333aa8126
121b70005708
13c57b0cab0
146c2a73264
153e53964b5
hex25c6a65b8

10140411320 has 64 divisors (see below), whose sum is σ = 24758727840. Its totient is φ = 3715545600.

The previous prime is 10140411301. The next prime is 10140411329. The reversal of 10140411320 is 2311404101.

It is a happy number.

10140411320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140411329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6311 + ... + 142550.

Almost surely, 210140411320 is an apocalyptic number.

10140411320 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 10140411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12379363920).

10140411320 is an abundant number, since it is smaller than the sum of its proper divisors (14618316520).

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

10140411320 is a wasteful number, since it uses less digits than its factorization.

10140411320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149016 (or 149012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10140411320 its reverse (2311404101), we get a palindrome (12451815421).

The spelling of 10140411320 in words is "ten billion, one hundred forty million, four hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 131 260 262 520 524 655 1048 1310 1703 2620 3406 5240 6812 8515 13624 17030 34060 68120 148861 297722 595444 744305 1190888 1488610 1935193 2977220 3870386 5954440 7740772 9675965 15481544 19351930 19500791 38703860 39001582 77407720 78003164 97503955 156006328 195007910 253510283 390015820 507020566 780031640 1014041132 1267551415 2028082264 2535102830 5070205660 10140411320