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104453133440 = 2751011615921
BaseRepresentation
bin110000101000111100…
…1000101010010000000
3100222121111222221220212
41201101321011102000
53202410000232230
6115552441053252
710355305661555
oct1412171052200
9328544887825
10104453133440
1140331086177
12182b1187228
139b08287146
1450ac64aa2c
152ab516b895
hex1851e45480

104453133440 has 64 divisors (see below), whose sum is σ = 252180787320. Its totient is φ = 41367552000.

The previous prime is 104453133431. The next prime is 104453133443. The reversal of 104453133440 is 44331354401.

It can be written as a sum of positive squares in 4 ways, for example, as 103061545024 + 1391588416 = 321032^2 + 37304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104453133397 and 104453133406.

It is not an unprimeable number, because it can be changed into a prime (104453133443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 743321 + ... + 872600.

Almost surely, 2104453133440 is an apocalyptic number.

104453133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104453133440 is an abundant number, since it is smaller than the sum of its proper divisors (147727653880).

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

104453133440 is a wasteful number, since it uses less digits than its factorization.

104453133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616041 (or 1616029 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 104453133440 its reverse (44331354401), we get a palindrome (148784487841).

The spelling of 104453133440 in words is "one hundred four billion, four hundred fifty-three million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 320 404 505 640 808 1010 1616 2020 3232 4040 6464 8080 12928 16160 32320 64640 1615921 3231842 6463684 8079605 12927368 16159210 25854736 32318420 51709472 64636840 103418944 129273680 163208021 206837888 258547360 326416042 517094720 652832084 816040105 1034189440 1305664168 1632080210 2611328336 3264160420 5222656672 6528320840 10445313344 13056641680 20890626688 26113283360 52226566720 104453133440