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10044104312 = 23111318291051
BaseRepresentation
bin10010101101010110…
…01101111001111000
3221220222202100212102
421112223031321320
5131032242314222
64340400002532
7503621322644
oct112653157170
927828670772
1010044104312
1142946a9260
121b43900448
13c40b901b8
146b3d63c24
153dbbc0d92
hex256acde78

10044104312 has 64 divisors (see below), whose sum is σ = 20746281600. Its totient is φ = 4520880000.

The previous prime is 10044104269. The next prime is 10044104333. The reversal of 10044104312 is 21340144001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9556187 + ... + 9557237.

It is an arithmetic number, because the mean of its divisors is an integer number (324160650).

Almost surely, 210044104312 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 10044104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373140800).

10044104312 is an abundant number, since it is smaller than the sum of its proper divisors (10702177288).

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

10044104312 is a wasteful number, since it uses less digits than its factorization.

10044104312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10044104312 its reverse (21340144001), we get a palindrome (31384248313).

The spelling of 10044104312 in words is "ten billion, forty-four million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 829 1048 1051 1441 1658 2102 2882 3316 4204 5764 6632 8408 9119 11528 11561 18238 23122 36476 46244 72952 92488 108599 137681 217198 275362 434396 550724 868792 871279 1101448 1194589 1514491 1742558 2389178 3028982 3485116 4778356 6057964 6970232 9556712 9584069 12115928 19168138 38336276 76672552 114137549 228275098 456550196 913100392 1255513039 2511026078 5022052156 10044104312