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201044442104 = 231131541136223
BaseRepresentation
bin1011101100111100101…
…1101011101111111000
3201012221010120211201022
42323033023223233320
511243214334121404
6232205240042012
720345032363502
oct2731713535770
9635833524638
10201044442104
1178298389aa0
1232b69463308
1315c5c819a5c
149a32abad72
155369ed38be
hex2ecf2ebbf8

201044442104 has 64 divisors (see below), whose sum is σ = 425280430080. Its totient is φ = 88271856000.

The previous prime is 201044442097. The next prime is 201044442167. The reversal of 201044442104 is 401244440102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407737 + ... + 1543959.

It is an arithmetic number, because the mean of its divisors is an integer number (6645006720).

Almost surely, 2201044442104 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 201044442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212640215040).

201044442104 is an abundant number, since it is smaller than the sum of its proper divisors (224235987976).

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

201044442104 is a wasteful number, since it uses less digits than its factorization.

201044442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136812 (or 136808 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 201044442104 its reverse (401244440102), we get a palindrome (602288882206).

The spelling of 201044442104 in words is "two hundred one billion, forty-four million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 541 682 1082 1364 2164 2728 4328 5951 11902 16771 23804 33542 47608 67084 134168 136223 184481 272446 368962 544892 737924 1089784 1475848 1498453 2996906 4222913 5993812 8445826 11987624 16891652 33783304 46452043 73696643 92904086 147393286 185808172 294786572 371616344 589573144 810663073 1621326146 2284595933 3242652292 4569191866 6485304584 9138383732 18276767464 25130555263 50261110526 100522221052 201044442104