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44000700471 = 3372135994271
BaseRepresentation
bin101000111110101001…
…010110100000110111
311012120111002011211000
4220332221112200313
51210103134403341
632114051414343
73115243532400
oct507651264067
9135514064730
1044000700471
111772a280572
12863b8b43b3
1341c2b8aa50
1421b5a649a7
151227d498b6
hexa3ea56837

44000700471 has 96 divisors (see below), whose sum is σ = 81817344000. Its totient is φ = 23164989120.

The previous prime is 44000700461. The next prime is 44000700521. The reversal of 44000700471 is 17400700044.

It is not a de Polignac number, because 44000700471 - 214 = 44000684087 is a prime.

It is a super-3 number, since 3×440007004713 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44000700431) 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 95 ways as a sum of consecutive naturals, for example, 10300066 + ... + 10304336.

It is an arithmetic number, because the mean of its divisors is an integer number (852264000).

Almost surely, 244000700471 is an apocalyptic number.

44000700471 is a deficient number, since it is larger than the sum of its proper divisors (37816643529).

44000700471 is a wasteful number, since it uses less digits than its factorization.

44000700471 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4906 (or 4893 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 44000700471 in words is "forty-four billion, seven hundred thousand, four hundred seventy-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 599 637 819 1323 1797 1911 2457 4193 4271 5391 5733 7787 12579 12813 16173 17199 23361 29351 29897 37737 38439 54509 55523 70083 88053 89691 113211 115317 163527 166569 209279 210249 264159 269073 381563 388661 490581 499707 627837 792477 807219 1144689 1165983 1471743 1499121 1883511 2558329 2720627 3434067 3497949 5650533 7674987 8161881 10302201 10493847 17908303 23024961 24485643 33258277 53724909 69074883 73456929 99774831 125358121 161174727 232807939 299324493 376074363 483524181 698423817 897973479 1128223089 1629655573 2095271451 3384669267 4888966719 6285814353 14666900157 44000700471