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44214004464 = 2437177740547
BaseRepresentation
bin101001001011010111…
…000010101011110000
311020010100110010212220
4221023113002223300
51211022241120324
632151151321040
73123443560050
oct511327025360
9136110403786
1044214004464
111782971aa63
12869b220180
134228122726
1421d610b560
15123b930b79
hexa4b5c2af0

44214004464 has 80 divisors (see below), whose sum is σ = 138215225088. Its totient is φ = 11889478656.

The previous prime is 44214004459. The next prime is 44214004489. The reversal of 44214004464 is 46440041244.

It is a super-2 number, since 2×442140044642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3864562 + ... + 3875985.

Almost surely, 244214004464 is an apocalyptic number.

It is an amenable number.

44214004464 is an abundant number, since it is smaller than the sum of its proper divisors (94001220624).

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

44214004464 is a wasteful number, since it uses less digits than its factorization.

44214004464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740582 (or 7740576 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 44214004464 in words is "forty-four billion, two hundred fourteen million, four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 7740547 15481094 23221641 30962188 46443282 54183829 61924376 92886564 108367658 123848752 131589299 162551487 185773128 216735316 263178598 325102974 371546256 394767897 433470632 526357196 650205948 789535794 866941264 921125093 1052714392 1300411896 1579071588 1842250186 2105428784 2600823792 2763375279 3158143176 3684500372 5526750558 6316286352 7369000744 11053501116 14738001488 22107002232 44214004464