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42233123415520 = 2553672579278879
BaseRepresentation
bin10011001101001001010100…
…10100011010010111100000
312112112110001222121101202101
421212210222110122113200
521013421414043244040
6225453343513100144
711616146111635252
oct1146445224322740
9175473058541671
1042233123415520
1112502a70175424
1248a108b6b7654
131a7474964904b
14a60146225cd2
154d38a90b909a
hex26692a51a5e0

42233123415520 has 96 divisors (see below), whose sum is σ = 100086774681600. Its totient is φ = 16840625865216.

The previous prime is 42233123415463. The next prime is 42233123415521. The reversal of 42233123415520 is 2551432133224.

It is a self number, because there is not a number n which added to its sum of digits gives 42233123415520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233123415521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151299441 + ... + 151578319.

It is an arithmetic number, because the mean of its divisors is an integer number (1042570569600).

Almost surely, 242233123415520 is an apocalyptic number.

42233123415520 is a gapful number since it is divisible by the number (40) 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 42233123415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50043387340800).

42233123415520 is an abundant number, since it is smaller than the sum of its proper divisors (57853651266080).

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

42233123415520 is a wasteful number, since it uses less digits than its factorization.

42233123415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281840 (or 281832 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 42233123415520 its reverse (2551432133224), we get a palindrome (44784555548744).

The spelling of 42233123415520 in words is "forty-two trillion, two hundred thirty-three billion, one hundred twenty-three million, four hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 367 734 1468 1835 2579 2936 3670 5158 5872 7340 10316 11744 12895 14680 20632 25790 29360 41264 51580 58720 82528 103160 206320 278879 412640 557758 946493 1115516 1394395 1892986 2231032 2788790 3785972 4462064 4732465 5577580 7571944 8924128 9464930 11155160 15143888 18929860 22310320 30287776 37859720 44620640 75719440 102348593 151438880 204697186 409394372 511742965 719228941 818788744 1023485930 1438457882 1637577488 2046971860 2876915764 3275154976 3596144705 4093943720 5753831528 7192289410 8187887440 11507663056 14384578820 16375774880 23015326112 28769157640 57538315280 115076630560 263957021347 527914042694 1055828085388 1319785106735 2111656170776 2639570213470 4223312341552 5279140426940 8446624683104 10558280853880 21116561707760 42233123415520