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24340340132004 = 223131376689170263
BaseRepresentation
bin1011000100011001011010…
…10100111100100010100100
310012011220200011011021020010
411202030231110330202210
511142243004033211004
6123433444202210220
75061350214305601
oct542145524744244
9105156604137203
1024340340132004
1178347534a9176
1228913a27b3970
1310773905a0060
146021161296a8
152c3234cc1a89
hex16232d53c8a4

24340340132004 has 96 divisors (see below), whose sum is σ = 61618922991360. Its totient is φ = 7433513607168.

The previous prime is 24340340131973. The next prime is 24340340132011. The reversal of 24340340132004 is 40023104304342.

It is a happy 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, 142872177 + ... + 143042439.

It is an arithmetic number, because the mean of its divisors is an integer number (641863781160).

Almost surely, 224340340132004 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 24340340132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30809461495680).

24340340132004 is an abundant number, since it is smaller than the sum of its proper divisors (37278582859356).

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

24340340132004 is a wasteful number, since it uses less digits than its factorization.

24340340132004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177109 (or 177107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 24340340132004 its reverse (40023104304342), we get a palindrome (64363444436346).

The spelling of 24340340132004 in words is "twenty-four trillion, three hundred forty billion, three hundred forty million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 6689 7124 10686 13378 20067 21372 26756 40134 80268 86957 170263 173914 260871 340526 347828 510789 521742 681052 916393 1021578 1043484 1832786 2043156 2213419 2749179 3665572 4426838 5498358 6640257 8853676 10996716 11913109 13280514 23326031 23826218 26561028 35739327 46652062 47652436 69978093 71478654 93304124 139956186 142957308 279912372 303238403 606476806 909715209 1138889207 1212953612 1819430418 2277778414 3416667621 3638860836 4555556828 6833335242 13666670484 14805559691 29611119382 44416679073 59222238764 88833358146 156027821359 177666716292 312055642718 468083464077 624111285436 936166928154 1872333856308 2028361677667 4056723355334 6085085033001 8113446710668 12170170066002 24340340132004