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42023123142 = 2374111320399
BaseRepresentation
bin100111001000110001…
…011111100011000110
311000110122220211201020
4213020301133203012
51142030404420032
631145525212010
73015241440000
oct471061374306
9130418824636
1042023123142
1116904a59440
128189561006
133c69264750
142069165370
15115e415b2c
hex9c8c5f8c6

42023123142 has 160 divisors (see below), whose sum is σ = 115195046400. Its totient is φ = 10074980160.

The previous prime is 42023123039. The next prime is 42023123167. The reversal of 42023123142 is 24132132024.

It is a happy number.

42023123142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2049859 + ... + 2070257.

It is an arithmetic number, because the mean of its divisors is an integer number (719969040).

Almost surely, 242023123142 is an apocalyptic number.

42023123142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42023123142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57597523200).

42023123142 is an abundant number, since it is smaller than the sum of its proper divisors (73171923258).

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

42023123142 is a wasteful number, since it uses less digits than its factorization.

42023123142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20456 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42023123142 its reverse (24132132024), we get a palindrome (66155255166).

The spelling of 42023123142 in words is "forty-two billion, twenty-three million, one hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 273 286 294 343 429 462 539 546 637 686 858 1001 1029 1078 1274 1617 1911 2002 2058 2401 3003 3234 3773 3822 4459 4802 6006 7007 7203 7546 8918 11319 13377 14014 14406 20399 21021 22638 26411 26754 31213 40798 42042 49049 52822 61197 62426 79233 93639 98098 122394 142793 147147 158466 187278 224389 265187 285586 294294 343343 428379 448778 530374 673167 686686 795561 856758 999551 1030029 1346334 1570723 1591122 1856309 1999102 2060058 2917057 2998653 3141446 3712618 4712169 5568927 5834114 5997306 6996857 8751171 9424338 10995061 11137854 12994163 13993714 17502342 20419399 20990571 21990122 25988326 32985183 38982489 40838798 41981142 48977999 61258197 65970366 76965427 77964978 90959141 97955998 122516394 142935793 146933997 153930854 181918282 230896281 272877423 285871586 293867994 428807379 461792562 538757989 545754846 636713987 857614758 1000550551 1077515978 1273427974 1616273967 1910141961 2001101102 3001651653 3232547934 3820283922 6003303306 7003853857 14007707714 21011561571 42023123142