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201044113328 = 24294313176919
BaseRepresentation
bin1011101100111100101…
…0011011011110110000
3201012221002222010201102
42323033022123132300
511243214243111303
6232205225023532
720345026524122
oct2731712333660
9635832863642
10201044113328
1178298184a83
1232b69324ba8
1315c5c733206
149a32a33212
155369e6b288
hex2ecf29b7b0

201044113328 has 80 divisors (see below), whose sum is σ = 415478764800. Its totient is φ = 94073790720.

The previous prime is 201044113327. The next prime is 201044113331. The reversal of 201044113328 is 823311440102.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 201044113328.

It is not an unprimeable number, because it can be changed into a prime (201044113327) 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, 2575253 + ... + 2652171.

It is an arithmetic number, because the mean of its divisors is an integer number (5193484560).

Almost surely, 2201044113328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044113328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207739382400).

201044113328 is an abundant number, since it is smaller than the sum of its proper divisors (214434651472).

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

201044113328 is a wasteful number, since it uses less digits than its factorization.

201044113328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77130 (or 77124 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 201044113328 in words is "two hundred one billion, forty-four million, one hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 131 172 232 262 344 464 524 688 1048 1247 2096 2494 3799 4988 5633 7598 9976 11266 15196 19952 22532 30392 45064 60784 76919 90128 153838 163357 307676 326714 615352 653428 1230704 1306856 2230651 2613712 3307517 4461302 6615034 8922604 10076389 13230068 17845208 20152778 26460136 35690416 40305556 52920272 80611112 95917993 161222224 191835986 292215281 383671972 433284727 584430562 767343944 866569454 1168861124 1534687888 1733138908 2337722248 3466277816 4675444496 6932555632 12565257083 25130514166 50261028332 100522056664 201044113328