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42369141753 = 32101131383929
BaseRepresentation
bin100111011101011001…
…011100101111111001
311001100210000102000100
4213131121130233321
51143233000014003
631244125430013
73026642522421
oct473531345771
9131323012010
1042369141753
1116a72304334
12826540b309
133cc2b556a3
14209d0b7481
15117e9b4ba3
hex9dd65cbf9

42369141753 has 48 divisors (see below), whose sum is σ = 62507427840. Its totient is φ = 27650688000.

The previous prime is 42369141733. The next prime is 42369141767. The reversal of 42369141753 is 35714196324.

It is a de Polignac number, because none of the positive numbers 2k-42369141753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42369141699 and 42369141708.

It is not an unprimeable number, because it can be changed into a prime (42369141733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45606793 + ... + 45607721.

It is an arithmetic number, because the mean of its divisors is an integer number (1302238080).

Almost surely, 242369141753 is an apocalyptic number.

It is an amenable number.

42369141753 is a deficient number, since it is larger than the sum of its proper divisors (20138286087).

42369141753 is a wasteful number, since it uses less digits than its factorization.

42369141753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1547 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 42369141753 in words is "forty-two billion, three hundred sixty-nine million, one hundred forty-one thousand, seven hundred fifty-three".

Divisors: 1 3 9 101 131 303 383 393 909 929 1149 1179 2787 3447 8361 13231 38683 39693 50173 93829 116049 119079 121699 150519 281487 348147 355807 365097 451557 844461 1067421 1095291 3202263 5067473 12291599 15202419 35936507 36874797 45607257 46610717 107809521 110624391 139832151 323428563 419496453 4707682417 14123047251 42369141753