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440042340231 = 331317315474349
BaseRepresentation
bin1100110011101001001…
…00010011111110000111
31120001211022022000101000
412121310210103332013
524202201314341411
6534052550304343
743535442114504
oct6316444237607
91501738260330
10440042340231
1115a69147a26a
12713493580b3
133265a3c66a0
14174262324ab
15b6a6e95956
hex6674913f87

440042340231 has 128 divisors (see below), whose sum is σ = 768918528000. Its totient is φ = 246137149440.

The previous prime is 440042340193. The next prime is 440042340233. The reversal of 440042340231 is 132043240044.

Adding to 440042340231 its reverse (132043240044), we get a palindrome (572085580275).

It is a happy number.

440042340231 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 423 + 4 + 0 + 231 = 666.

It is not a de Polignac number, because 440042340231 - 26 = 440042340167 is a prime.

It is a super-2 number, since 2×4400423402312 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 440042340195 and 440042340204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440042340233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101180245 + ... + 101184593.

It is an arithmetic number, because the mean of its divisors is an integer number (6007176000).

Almost surely, 2440042340231 is an apocalyptic number.

440042340231 is a deficient number, since it is larger than the sum of its proper divisors (328876187769).

440042340231 is a wasteful number, since it uses less digits than its factorization.

440042340231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4966 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 440042340231 in words is "four hundred forty billion, forty-two million, three hundred forty thousand, two hundred thirty-one".

Divisors: 1 3 9 13 17 27 31 39 51 93 117 153 221 279 351 403 459 527 547 663 837 1209 1581 1641 1989 3627 4349 4743 4923 5967 6851 7111 9299 10881 13047 14229 14769 16957 20553 21333 27897 39141 50871 56537 61659 63999 73933 83691 117423 120887 134819 152613 169611 184977 191997 220441 221799 251073 288269 362661 404457 457839 508833 661323 665397 864807 961129 1087983 1213371 1526499 1752647 1983969 1996191 2291923 2378903 2594421 2883387 3263949 3640113 3747497 5257941 5951907 6875769 7136709 7783263 8650161 11242491 15773823 20627307 21410127 25950483 29794999 30925739 33727473 40441351 47321469 61881921 64230381 73745993 89384997 92777217 101182419 121324053 221237979 268154991 278331651 363972159 525737563 663713937 804464973 834994953 958697909 1091916477 1253681881 1577212689 1991141811 2876093727 3761045643 4731638067 8628281181 11283136929 14194914201 16297864453 25884843543 33849410787 48893593359 146680780077 440042340231