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4130232234400 = 255213513382061
BaseRepresentation
bin111100000110100101000…
…001100111000110100000
3112121211211222121200021001
4330012211001213012200
51020132203423000100
612441222534441344
7604254001510516
oct74064501470640
915554758550231
104130232234400
11135269246a958
12568572503254
1323c62cb3256c
14103c935bc4b6
15726843e3d6a
hex3c1a50671a0

4130232234400 has 72 divisors (see below), whose sum is σ = 10083702000204. Its totient is φ = 1651966310400.

The previous prime is 4130232234379. The next prime is 4130232234419. The reversal of 4130232234400 is 44322320314.

It can be written as a sum of positive squares in 6 ways, for example, as 743616478224 + 3386615756176 = 862332^2 + 1840276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10619370 + ... + 11001430.

Almost surely, 24130232234400 is an apocalyptic number.

4130232234400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130232234400 is an abundant number, since it is smaller than the sum of its proper divisors (5953469765804).

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

4130232234400 is a wasteful number, since it uses less digits than its factorization.

4130232234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395594 (or 395581 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4130232234400 its reverse (44322320314), we get a palindrome (4174554554714).

The spelling of 4130232234400 in words is "four trillion, one hundred thirty billion, two hundred thirty-two million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 13513 27026 54052 67565 108104 135130 216208 270260 337825 382061 432416 540520 675650 764122 1081040 1351300 1528244 1910305 2162080 2702600 3056488 3820610 5405200 6112976 7641220 9551525 10810400 12225952 15282440 19103050 30564880 38206100 61129760 76412200 152824400 305648800 5162790293 10325580586 20651161172 25813951465 41302322344 51627902930 82604644688 103255805860 129069757325 165209289376 206511611720 258139514650 413023223440 516279029300 826046446880 1032558058600 2065116117200 4130232234400