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42154024332 = 223719912592003
BaseRepresentation
bin100111010000100100…
…110101110110001100
311000210210020022101110
4213100210311312030
51142312412234312
631210523012020
73021421203060
oct472044656614
9130723208343
1042154024332
1116971936442
12820536a010
133c8a407484
14207c6bbaa0
15116ab7143c
hex9d0935d8c

42154024332 has 96 divisors (see below), whose sum is σ = 113121792000. Its totient is φ = 11967988032.

The previous prime is 42154024309. The next prime is 42154024357. The reversal of 42154024332 is 23342045124.

It is a self number, because there is not a number n which added to its sum of digits gives 42154024332.

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 31 ways as a sum of consecutive naturals, for example, 21044443 + ... + 21046445.

It is an arithmetic number, because the mean of its divisors is an integer number (1178352000).

Almost surely, 242154024332 is an apocalyptic number.

42154024332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42154024332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56560896000).

42154024332 is an abundant number, since it is smaller than the sum of its proper divisors (70967767668).

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

42154024332 is a wasteful number, since it uses less digits than its factorization.

42154024332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42154024332 its reverse (23342045124), we get a palindrome (65496069456).

The spelling of 42154024332 in words is "forty-two billion, one hundred fifty-four million, twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1259 1393 2003 2388 2518 2786 3777 4006 4179 5036 5572 6009 7554 8012 8358 8813 12018 14021 15108 16716 17626 24036 26439 28042 35252 42063 52878 56084 84126 105756 168252 250541 398597 501082 751623 797194 1002164 1195791 1503246 1594388 1753787 2391582 2521777 2790179 3006492 3507574 4783164 5043554 5261361 5580358 7015148 7565331 8370537 10087108 10522722 11160716 15130662 16741074 17652439 21045444 30261324 33482148 35304878 52957317 70609756 105914634 211829268 501833623 1003667246 1505500869 2007334492 3011001738 3512835361 6022003476 7025670722 10538506083 14051341444 21077012166 42154024332