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3024144422104 = 23136715117916057
BaseRepresentation
bin101100000000011101000…
…011011101010011011000
3101201002211211021000000211
4230000131003131103120
5344021421433001404
610233134530140504
7431326055313211
oct54003503352330
911632754230024
103024144422104
11a66594761433
1240a123a21734
1318c238a242c0
14a65257a8408
15539e9261b04
hex2c01d0dd4d8

3024144422104 has 128 divisors (see below), whose sum is σ = 6273873446400. Its totient is φ = 1358106393600.

The previous prime is 3024144422083. The next prime is 3024144422219. The reversal of 3024144422104 is 4012244414203.

It is a happy number.

It is a super-2 number, since 2×30241444221042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188330044 + ... + 188346100.

It is an arithmetic number, because the mean of its divisors is an integer number (49014636300).

Almost surely, 23024144422104 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 3024144422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136936723200).

3024144422104 is an abundant number, since it is smaller than the sum of its proper divisors (3249729024296).

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

3024144422104 is a wasteful number, since it uses less digits than its factorization.

3024144422104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473 (or 16469 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 3024144422104 its reverse (4012244414203), we get a palindrome (7036388836307).

The spelling of 3024144422104 in words is "three trillion, twenty-four billion, one hundred forty-four million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 67 104 134 151 179 268 302 358 536 604 716 871 1208 1432 1742 1963 2327 3484 3926 4654 6968 7852 9308 10117 11993 15704 16057 18616 20234 23986 27029 32114 40468 47972 54058 64228 80936 95944 108116 128456 131521 155909 208741 216232 263042 311818 351377 417482 526084 623636 702754 834964 1052168 1075819 1247272 1405508 1669928 1810943 2151638 2424607 2811016 2874203 3621886 4303276 4849214 5748406 7243772 8606552 9698428 11496812 13985647 14487544 19396856 22993624 23542259 27971294 31519891 37364639 47084518 55942588 63039782 74729278 94169036 111885176 126079564 149458556 162448669 188338072 192571601 252159128 298917112 324897338 385143202 434004653 649794676 770286404 868009306 1299589352 1540572808 1736018612 2111832697 2503430813 3472037224 4223665394 5006861626 5642060489 8447330788 10013723252 11284120978 16894661576 20027446504 22568241956 29078311751 45136483912 58156623502 116313247004 232626494008 378018052763 756036105526 1512072211052 3024144422104