Search a number
-
+
2321306343664 = 2471123293279593
BaseRepresentation
bin100001110001111000101…
…000111101100011110000
322012220200211102021120121
4201301320220331203300
5301013013410444124
64534220551020024
7326465064235420
oct41617050754360
98186624367517
102321306343664
11815507a07470
12315a7496a614
1313ab8a5b7109
14804cd5aa480
15405b0e4c2e4
hex21c78a3d8f0

2321306343664 has 160 divisors (see below), whose sum is σ = 5871098225664. Its totient is φ = 862127523840.

The previous prime is 2321306343617. The next prime is 2321306343667. The reversal of 2321306343664 is 4663436031232.

It is a super-2 number, since 2×23213063436642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2321306343664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321306343667) 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, 8162652 + ... + 8442244.

Almost surely, 22321306343664 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 2321306343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935549112832).

2321306343664 is an abundant number, since it is smaller than the sum of its proper divisors (3549791882000).

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

2321306343664 is a wasteful number, since it uses less digits than its factorization.

2321306343664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279935 (or 279929 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 43.

The spelling of 2321306343664 in words is "two trillion, three hundred twenty-one billion, three hundred six million, three hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 154 161 176 184 253 293 308 322 368 506 586 616 644 1012 1172 1232 1288 1771 2024 2051 2344 2576 3223 3542 4048 4102 4688 6446 6739 7084 8204 12892 13478 14168 16408 22561 25784 26956 28336 32816 45122 47173 51568 53912 74129 90244 94346 107824 148258 180488 188692 279593 296516 360976 377384 518903 559186 593032 754768 1037806 1118372 1186064 1957151 2075612 2236744 3075523 3914302 4151224 4473488 6151046 6430639 7828604 8302448 12302092 12861278 15657208 21528661 24604184 25722556 31314416 43057322 45014473 49208368 51445112 70737029 81920749 86114644 90028946 102890224 141474058 163841498 172229288 180057892 282948116 327682996 344458576 360115784 495159203 565896232 573445243 655365992 720231568 901128239 990318406 1131792464 1146890486 1310731984 1802256478 1884177227 1980636812 2293780972 3604512956 3768354454 3961273624 4587561944 6307897673 7209025912 7536708908 7922547248 9175123888 12615795346 13189240589 14418051824 15073417816 20725949497 25231590692 26378481178 30146835632 41451898994 50463181384 52756962356 82903797988 100926362768 105513924712 145081646479 165807595976 211027849424 290163292958 331615191952 580326585916 1160653171832 2321306343664