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31441140024 = 23372310337877
BaseRepresentation
bin11101010010000010…
…011011100100111000
310000011012001101211120
4131102002123210320
51003342412440044
622235512425240
72162066165160
oct352202334470
9100135041746
1031441140024
1112374781948
1261156a8220
132c70b19288
1417439c95a0
15c403e8519
hex75209b938

31441140024 has 128 divisors (see below), whose sum is σ = 93840215040. Its totient is φ = 8583201792.

The previous prime is 31441140023. The next prime is 31441140041. The reversal of 31441140024 is 42004114413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31441139976 and 31441140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441140023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3987574 + ... + 3995450.

It is an arithmetic number, because the mean of its divisors is an integer number (733126680).

Almost surely, 231441140024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31441140024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46920107520).

31441140024 is an abundant number, since it is smaller than the sum of its proper divisors (62399075016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31441140024 is a wasteful number, since it uses less digits than its factorization.

31441140024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8949 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 31441140024 its reverse (42004114413), we get a palindrome (73445254437).

The spelling of 31441140024 in words is "thirty-one billion, four hundred forty-one million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1033 1288 1932 2066 3099 3864 4132 6198 7231 7877 8264 12396 14462 15754 21693 23631 23759 24792 28924 31508 43386 47262 47518 55139 57848 63016 71277 86772 94524 95036 110278 142554 165417 166313 173544 181171 189048 190072 220556 285108 330834 332626 362342 441112 498939 543513 570216 661668 665252 724684 997878 1087026 1268197 1323336 1330504 1449368 1995756 2174052 2536394 3804591 3991512 4348104 5072788 7609182 8136941 10145576 15218364 16273882 24410823 30436728 32547764 48821646 56958587 65095528 97643292 113917174 170875761 187149643 195286584 227834348 341751522 374299286 455668696 561448929 683503044 748598572 1122897858 1310047501 1367006088 1497197144 2245795716 2620095002 3930142503 4491591432 5240190004 7860285006 10480380008 15720570012 31441140024