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10014244000 = 25535347237
BaseRepresentation
bin10010101001110010…
…10011110010100000
3221211220120022012221
421110321103302200
5131002121302000
64333412000424
7503106445435
oct112471236240
927756508187
1010014244000
114279863812
121b35900114
13c37936987
146addcdb8c
153d927361a
hex254e53ca0

10014244000 has 96 divisors (see below), whose sum is σ = 25069773456. Its totient is φ = 3930035200.

The previous prime is 10014243989. The next prime is 10014244001. The reversal of 10014244000 is 44241001.

It can be written as a sum of positive squares in 8 ways, for example, as 24641296 + 9989602704 = 4964^2 + 99948^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10014244001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188382 + ... + 235618.

Almost surely, 210014244000 is an apocalyptic number.

10014244000 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 10014244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534886728).

10014244000 is an abundant number, since it is smaller than the sum of its proper divisors (15055529456).

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

10014244000 is an equidigital number, since it uses as much as digits as its factorization.

10014244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47315 (or 47297 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10014244000 its reverse (44241001), we get a palindrome (10058485001).

The spelling of 10014244000 in words is "ten billion, fourteen million, two hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 125 160 200 212 250 265 400 424 500 530 800 848 1000 1060 1325 1696 2000 2120 2650 4000 4240 5300 6625 8480 10600 13250 21200 26500 42400 47237 53000 94474 106000 188948 212000 236185 377896 472370 755792 944740 1180925 1511584 1889480 2361850 2503561 3778960 4723700 5007122 5904625 7557920 9447400 10014244 11809250 12517805 18894800 20028488 23618500 25035610 37789600 40056976 47237000 50071220 62589025 80113952 94474000 100142440 125178050 188948000 200284880 250356100 312945125 400569760 500712200 625890250 1001424400 1251780500 2002848800 2503561000 5007122000 10014244000