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643140303041346 = 23119744550046081
BaseRepresentation
bin1001001000111011101100010…
…1010011011011001101000010
310010100011121112112000102210120
42102032323011103123031002
51133244202320034310341
610155502324301241110
7252316232154624615
oct22216730523331502
93110147475012716
10643140303041346
11176a192a8485320
1260170a96263196
13217b2b411ba476
14b4b622a1d417c
154e5484dc60066
hex248eec54db342

643140303041346 has 16 divisors (see below), whose sum is σ = 1403215206635808. Its totient is φ = 194891000921600.

The previous prime is 643140303041333. The next prime is 643140303041363.

643140303041346 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6431403030413462 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 643140303041298 and 643140303041307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4872275022975 + ... + 4872275023106.

It is an arithmetic number, because the mean of its divisors is an integer number (87700950414738).

Almost surely, 2643140303041346 is an apocalyptic number.

643140303041346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643140303041346 is an abundant number, since it is smaller than the sum of its proper divisors (760074903594462).

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

643140303041346 is a wasteful number, since it uses less digits than its factorization.

643140303041346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744550046097.

The product of its (nonzero) digits is 746496, while the sum is 42.

It can be divided in two parts, 64314030 and 3041346, that added together give a palindrome (67355376).

The spelling of 643140303041346 in words is "six hundred forty-three trillion, one hundred forty billion, three hundred three million, forty-one thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 9744550046081 19489100092162 29233650138243 58467300276486 107190050506891 214380101013782 321570151520673 643140303041346