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147104010400 = 2552757324281
BaseRepresentation
bin1000100100000000010…
…1010001000010100000
3112001200221010222222111
42021000011101002200
54402232111313100
6151324553245104
713425242312614
oct2110005210240
9461627128874
10147104010400
1157428419316
1224614a03794
1310b445b3c49
147196d01344
153c5e7336ba
hex22401510a0

147104010400 has 72 divisors (see below), whose sum is σ = 359179878204. Its totient is φ = 58831411200.

The previous prime is 147104010373. The next prime is 147104010433. The reversal of 147104010400 is 4010401741.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 136808255376 + 10295755024 = 369876^2 + 101468^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6046260 + ... + 6070540.

Almost surely, 2147104010400 is an apocalyptic number.

147104010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147104010400 is an abundant number, since it is smaller than the sum of its proper divisors (212075867804).

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

147104010400 is a wasteful number, since it uses less digits than its factorization.

147104010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31874 (or 31861 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 147104010400 in words is "one hundred forty-seven billion, one hundred four million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 7573 15146 24281 30292 37865 48562 60584 75730 97124 121168 121405 151460 189325 194248 242336 242810 302920 378650 388496 485620 605840 607025 757300 776992 971240 1211680 1214050 1514600 1942480 2428100 3029200 3884960 4856200 6058400 9712400 19424800 183880013 367760026 735520052 919400065 1471040104 1838800130 2942080208 3677600260 4597000325 5884160416 7355200520 9194000650 14710401040 18388001300 29420802080 36776002600 73552005200 147104010400