Search a number
-
+
2310433132240 = 245315091830307
BaseRepresentation
bin100001100111110000100…
…010111100111011010000
322011212122001112220120101
4201213300202330323100
5300323231340212430
64525222012222144
7325631454406522
oct41476042747320
98155561486511
102310433132240
118109382a7822
1231393b46a954
13139b46a225bc
147db7b4a1a12
15401765a4dca
hex219f08bced0

2310433132240 has 80 divisors (see below), whose sum is σ = 5555936540160. Its totient is φ = 892603630080.

The previous prime is 2310433132211. The next prime is 2310433132243. The reversal of 2310433132240 is 422313340132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2310433132199 and 2310433132208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2310433132243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347167 + ... + 2177473.

It is an arithmetic number, because the mean of its divisors is an integer number (69449206752).

Almost surely, 22310433132240 is an apocalyptic number.

2310433132240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2310433132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777968270080).

2310433132240 is an abundant number, since it is smaller than the sum of its proper divisors (3245503407920).

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

2310433132240 is a wasteful number, since it uses less digits than its factorization.

2310433132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830860 (or 1830854 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2310433132240 its reverse (422313340132), we get a palindrome (2732746472372).

The spelling of 2310433132240 in words is "two trillion, three hundred ten billion, four hundred thirty-three million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 509 620 1018 1240 2036 2480 2545 4072 5090 8144 10180 15779 20360 31558 40720 63116 78895 126232 157790 252464 315580 631160 1262320 1830307 3660614 7321228 9151535 14642456 18303070 29284912 36606140 56739517 73212280 113479034 146424560 226958068 283697585 453916136 567395170 907832272 931626263 1134790340 1863252526 2269580680 3726505052 4539161360 4658131315 7453010104 9316262630 14906020208 18632525260 28880414153 37265050520 57760828306 74530101040 115521656612 144402070765 231043313224 288804141530 462086626448 577608283060 1155216566120 2310433132240