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10040142540 = 22351714336869
BaseRepresentation
bin10010101100111000…
…00110101011001100
3221220201022002100010
421112130012223030
5131030234030130
64340135033220
7503542542411
oct112634065314
927821262303
1010040142540
11429244276a
121b4250b810
13c40103b5c
146b3612108
153db68c0b0
hex256706acc

10040142540 has 96 divisors (see below), whose sum is σ = 29791177920. Its totient is φ = 2517753856.

The previous prime is 10040142533. The next prime is 10040142571. The reversal of 10040142540 is 4524104001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1458226 + ... + 1465094.

It is an arithmetic number, because the mean of its divisors is an integer number (310324770).

Almost surely, 210040142540 is an apocalyptic number.

10040142540 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 10040142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895588960).

10040142540 is an abundant number, since it is smaller than the sum of its proper divisors (19751035380).

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

10040142540 is a wasteful number, since it uses less digits than its factorization.

10040142540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10040142540 its reverse (4524104001), we get a palindrome (14564246541).

The spelling of 10040142540 in words is "ten billion, forty million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1433 2866 4299 5732 6869 7165 8598 13738 14330 17196 20607 21495 24361 27476 28660 34345 41214 42990 48722 68690 73083 82428 85980 97444 103035 116773 121805 137380 146166 206070 233546 243610 292332 350319 365415 412140 467092 487220 583865 700638 730830 1167730 1401276 1461660 1751595 2335460 3503190 7006380 9843277 19686554 29529831 39373108 49216385 59059662 98432770 118119324 147649155 167335709 196865540 295298310 334671418 502007127 590596620 669342836 836678545 1004014254 1673357090 2008028508 2510035635 3346714180 5020071270 10040142540