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10140441440310 = 23251034723231611
BaseRepresentation
bin1001001110010000000101…
…1010001111000000110110
31022220102020210120121211200
42103210001122033000312
52312120111002042220
633322242100313330
72064423410032506
oct223440132170066
938812223517750
1010140441440310
11325a59a917865
1211793513a2846
1358731630b0ac
14270b2b22ba06
15128b997b1890
hex9390168f036

10140441440310 has 96 divisors (see below), whose sum is σ = 26626871501568. Its totient is φ = 2677285604160.

The previous prime is 10140441440221. The next prime is 10140441440347. The reversal of 10140441440310 is 1304414404101.

10140441440310 is a `hidden beast` number, since 10 + 140 + 4 + 41 + 440 + 31 + 0 = 666.

It is a super-2 number, since 2×101404414403102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43666405 + ... + 43898015.

It is an arithmetic number, because the mean of its divisors is an integer number (277363244808).

Almost surely, 210140441440310 is an apocalyptic number.

10140441440310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140441440310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313435750784).

10140441440310 is an abundant number, since it is smaller than the sum of its proper divisors (16486430061258).

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

10140441440310 is a wasteful number, since it uses less digits than its factorization.

10140441440310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236450 (or 236447 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10140441440310 its reverse (1304414404101), we get a palindrome (11444855844411).

The spelling of 10140441440310 in words is "ten trillion, one hundred forty billion, four hundred forty-one million, four hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 309 515 618 927 1030 1545 1854 3090 4635 4723 9270 9446 14169 23615 28338 42507 47230 70845 85014 141690 212535 231611 425070 463222 486469 694833 972938 1158055 1389666 1459407 2084499 2316110 2432345 2918814 3474165 4168998 4378221 4864690 6948330 7297035 8756442 10422495 14594070 20844990 21891105 23855933 43782210 47711866 71567799 119279665 143135598 214703397 238559330 357838995 429406794 715677990 1073516985 1093898753 2147033970 2187797506 3281696259 5469493765 6563392518 9845088777 10938987530 16408481295 19690177554 32816962590 49225443885 98450887770 112671571559 225343143118 338014714677 563357857795 676029429354 1014044144031 1126715715590 1690073573385 2028088288062 3380147146770 5070220720155 10140441440310