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431013141340340 = 2251311314671465127
BaseRepresentation
bin110001000000000010001000…
…1001011101110000010110100
32002112002110020220010120001212
41202000010101023232002310
5422443204403140342330
64124404411553140552
7156533446304540306
oct14200042113560264
92075073226116055
10431013141340340
11115374712885099
1240411298b5a758
13156664986b3960
14786120c479976
1534c69931de295
hex18801112ee0b4

431013141340340 has 48 divisors (see below), whose sum is σ = 974754323367552. Its totient is φ = 159143064452736.

The previous prime is 431013141340339. The next prime is 431013141340357. The reversal of 431013141340340 is 43043141310134.

It is a super-2 number, since 2×4310131413403402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431013141340297 and 431013141340306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293448857 + ... + 294913983.

It is an arithmetic number, because the mean of its divisors is an integer number (20307381736824).

Almost surely, 2431013141340340 is an apocalyptic number.

It is an amenable number.

431013141340340 is an abundant number, since it is smaller than the sum of its proper divisors (543741182027212).

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

431013141340340 is a wasteful number, since it uses less digits than its factorization.

431013141340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596616 (or 2596614 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 431013141340340 its reverse (43043141310134), we get a palindrome (474056282650474).

The spelling of 431013141340340 in words is "four hundred thirty-one trillion, thirteen billion, one hundred forty-one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1131467 1465127 2262934 2930254 4525868 5657335 5860508 7325635 11314670 14651270 14709071 19046651 22629340 29302540 29418142 38093302 58836284 73545355 76186604 95233255 147090710 190466510 294181420 380933020 1657742851309 3315485702618 6630971405236 8288714256545 16577428513090 21550657067017 33154857026180 43101314134034 86202628268068 107753285335085 215506570670170 431013141340340