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44129841357 = 3717246115773
BaseRepresentation
bin101001000110010101…
…111111000011001101
311012220111002012210210
4221012111333003031
51210334214410412
632134543353033
73121402314420
oct510625770315
9135814065723
1044129841357
1117796165a78
128676bb2779
134213865484
1421c8c7d9b7
15123435883c
hexa4657f0cd

44129841357 has 48 divisors (see below), whose sum is σ = 71593264512. Its totient is φ = 23680711680.

The previous prime is 44129841337. The next prime is 44129841361. The reversal of 44129841357 is 75314892144.

It is not a de Polignac number, because 44129841357 - 210 = 44129840333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44129841307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2789923 + ... + 2805695.

It is an arithmetic number, because the mean of its divisors is an integer number (1491526344).

Almost surely, 244129841357 is an apocalyptic number.

It is an amenable number.

44129841357 is a deficient number, since it is larger than the sum of its proper divisors (27463423155).

44129841357 is a wasteful number, since it uses less digits than its factorization.

44129841357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16278 (or 16261 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The spelling of 44129841357 in words is "forty-four billion, one hundred twenty-nine million, eight hundred forty-one thousand, three hundred fifty-seven".

Divisors: 1 3 7 17 21 51 119 289 357 461 867 1383 2023 3227 6069 7837 9681 15773 23511 47319 54859 110411 133229 164577 268141 331233 399687 804423 932603 1876987 2797809 4558397 5630961 7271353 13675191 21814059 31908779 50899471 95726337 123613001 152698413 370839003 865291007 2101421017 2595873021 6304263051 14709947119 44129841357