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42044314221 = 33721313011879
BaseRepresentation
bin100111001010000010…
…010101001001101101
311000112010210110102000
4213022002111021231
51142101321023341
631152003322513
73015616526400
oct471202251155
9130463713360
1042044314221
1116915a12628
128194680439
133c70774050
14206bcbdd37
1511611ee8b6
hex9ca09526d

42044314221 has 96 divisors (see below), whose sum is σ = 78132499200. Its totient is φ = 22148380800.

The previous prime is 42044314187. The next prime is 42044314243. The reversal of 42044314221 is 12241344024.

42044314221 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 431 + 4 + 221 = 666.

It is not a de Polignac number, because 42044314221 - 27 = 42044314093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42044314421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22374960 + ... + 22376838.

It is an arithmetic number, because the mean of its divisors is an integer number (813880200).

Almost surely, 242044314221 is an apocalyptic number.

It is an amenable number.

42044314221 is a deficient number, since it is larger than the sum of its proper divisors (36088184979).

42044314221 is a wasteful number, since it uses less digits than its factorization.

42044314221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42044314221 its reverse (12241344024), we get a palindrome (54285658245).

The spelling of 42044314221 in words is "forty-two billion, forty-four million, three hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1301 1323 1879 1911 2457 3903 5637 5733 9107 11709 13153 16911 16913 17199 24427 27321 35127 39459 50733 50739 63749 73281 81963 92071 118377 118391 152217 170989 191247 219843 245889 276213 355131 355173 456651 512967 573741 659529 828639 828737 1065519 1196923 1538901 1721223 2444579 2485917 2486211 3196557 3590769 4616703 7333737 7458633 10772307 17112053 22001211 22375899 31779527 32316921 51336159 66003633 95338581 119784371 154008477 222456689 286015743 359353113 462025431 667370067 858047229 1078059339 1557196823 2002110201 3234178017 4671590469 6006330603 14014771407 42044314221