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10412444441440 = 25581180243869
BaseRepresentation
bin1001011110000101011000…
…0011010101101101100000
31100212102100011012202012201
42113201112003111231200
52331044141234111230
634051224432502544
72123163036300556
oct227412603255540
940772304182181
1010412444441440
113354990487468
1212020026aaa54
135a6b73a2cc82
1427dd71d61bd6
15130cb90ed5ca
hex978560d5b60

10412444441440 has 48 divisors (see below), whose sum is σ = 24629732482320. Its totient is φ = 4159842117120.

The previous prime is 10412444441437. The next prime is 10412444441459. The reversal of 10412444441440 is 4414444421401.

It is a self number, because there is not a number n which added to its sum of digits gives 10412444441440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39992175 + ... + 40251694.

It is an arithmetic number, because the mean of its divisors is an integer number (513119426715).

Almost surely, 210412444441440 is an apocalyptic number.

10412444441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10412444441440 is an abundant number, since it is smaller than the sum of its proper divisors (14217288040880).

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

10412444441440 is an equidigital number, since it uses as much as digits as its factorization.

10412444441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80244695 (or 80244687 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 37.

Adding to 10412444441440 its reverse (4414444421401), we get a palindrome (14826888862841).

The spelling of 10412444441440 in words is "ten trillion, four hundred twelve billion, four hundred forty-four million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 811 1622 3244 4055 6488 8110 12976 16220 25952 32440 64880 129760 80243869 160487738 320975476 401219345 641950952 802438690 1283901904 1604877380 2567803808 3209754760 6419509520 12839019040 65077777759 130155555518 260311111036 325388888795 520622222072 650777777590 1041244444144 1301555555180 2082488888288 2603111110360 5206222220720 10412444441440