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44806885431 = 371117313383
BaseRepresentation
bin101001101110101100…
…101101000000110111
311021122200001121200020
4221232230231000313
51213231030313211
632330051020223
73144233146020
oct515654550067
9137580047606
1044806885431
1118003356230
12882589a673
1342c0bc7b79
142250b5dc47
1512739e4306
hexa6eb2d037

44806885431 has 128 divisors (see below), whose sum is σ = 81707139072. Its totient is φ = 21145075200.

The previous prime is 44806885427. The next prime is 44806885447. The reversal of 44806885431 is 13458860844.

It is not a de Polignac number, because 44806885431 - 22 = 44806885427 is a prime.

It is a super-2 number, since 2×448068854312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44806885471) 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 127 ways as a sum of consecutive naturals, for example, 116989066 + ... + 116989448.

It is an arithmetic number, because the mean of its divisors is an integer number (638337024).

Almost surely, 244806885431 is an apocalyptic number.

44806885431 is a deficient number, since it is larger than the sum of its proper divisors (36900253641).

44806885431 is a wasteful number, since it uses less digits than its factorization.

44806885431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 44806885431 in words is "forty-four billion, eight hundred six million, eight hundred eighty-five thousand, four hundred thirty-one".

Divisors: 1 3 7 11 17 21 31 33 51 77 93 119 187 217 231 341 357 383 527 561 651 961 1023 1149 1309 1581 2387 2681 2883 3689 3927 4213 5797 6511 6727 7161 8043 10571 11067 11873 12639 16337 17391 19533 20181 29491 29791 31713 35619 40579 45577 49011 71621 73997 83111 88473 89373 114359 121737 130603 136731 179707 201841 208537 214863 221991 249333 327701 343077 368063 391809 501347 506447 539121 605523 625611 914221 983103 1104189 1257949 1412887 1504041 1519341 2220251 2293907 2576441 2742663 3545129 3773847 4048693 4238661 5570917 6257071 6660753 6881721 7729323 10635387 11409953 12146079 15541757 16712751 18771213 28340851 34229859 38996419 43799497 46625271 68827781 79869671 85022553 116989257 125509483 131398491 193969201 206483343 239609013 376528449 481794467 581907603 878566381 1357784407 1445383401 2133661211 2635699143 4073353221 6400983633 14935628477 44806885431