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2432041434340 = 225725942062287
BaseRepresentation
bin100011011001000000111…
…101110011110011100100
322121111112011000201210021
4203121000331303303210
5304321310101344330
65101133040204524
7340465153050400
oct43310075636344
98544464021707
102432041434340
11858471a94031
12333419909744
1314845718b4cb
14859d6260100
15433e284967a
hex23640f73ce4

2432041434340 has 72 divisors (see below), whose sum is σ = 6041827048320. Its totient is φ = 819709829568.

The previous prime is 2432041434313. The next prime is 2432041434397. The reversal of 2432041434340 is 434341402342.

2432041434340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2432041434296 and 2432041434305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20973324 + ... + 21088963.

It is an arithmetic number, because the mean of its divisors is an integer number (83914264560).

Almost surely, 22432041434340 is an apocalyptic number.

2432041434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432041434340 is an abundant number, since it is smaller than the sum of its proper divisors (3609785613980).

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

2432041434340 is a wasteful number, since it uses less digits than its factorization.

2432041434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42062369 (or 42062360 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 2432041434340 its reverse (434341402342), we get a palindrome (2866382836682).

The spelling of 2432041434340 in words is "two trillion, four hundred thirty-two billion, forty-one million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 4130 5782 8260 11564 14455 28910 57820 42062287 84124574 168249148 210311435 294436009 420622870 588872018 841245740 1177744036 1472180045 2061052063 2481674933 2944360090 4122104126 4963349866 5888720180 8244208252 9926699732 10305260315 12408374665 17371724531 20610520630 24816749330 34743449062 41221041260 49633498660 69486898124 86858622655 121602071717 173717245310 243204143434 347434490620 486408286868 608010358585 1216020717170 2432041434340