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42124144344 = 23310732175099
BaseRepresentation
bin100111001110110010…
…110110111011011000
311000201201000020202020
4213032302312323120
51142232240104334
631203534334440
73020606214312
oct471662667330
9130651006666
1042124144344
1116956a88137
1281b735a420
133c84174cc9
1420787407b2
15116821ce49
hex9cecb6ed8

42124144344 has 64 divisors (see below), whose sum is σ = 106348464000. Its totient is φ = 13903102464.

The previous prime is 42124144333. The next prime is 42124144367. The reversal of 42124144344 is 44344142124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8258707 + ... + 8263805.

It is an arithmetic number, because the mean of its divisors is an integer number (1661694750).

Almost surely, 242124144344 is an apocalyptic number.

It is an amenable number.

42124144344 is an abundant number, since it is smaller than the sum of its proper divisors (64224319656).

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

42124144344 is a wasteful number, since it uses less digits than its factorization.

42124144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8428 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 42124144344 its reverse (44344142124), we get a palindrome (86468286468).

The spelling of 42124144344 in words is "forty-two billion, one hundred twenty-four million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 3217 5099 6434 9651 10198 12868 15297 19302 20396 25736 30594 38604 40792 61188 77208 122376 344219 545593 688438 1032657 1091186 1376876 1636779 2065314 2182372 2753752 3273558 4130628 4364744 6547116 8261256 13094232 16403483 32806966 49210449 65613932 98420898 131227864 196841796 393683592 1755172681 3510345362 5265518043 7020690724 10531036086 14041381448 21062072172 42124144344