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142889597820 = 2232517199234653
BaseRepresentation
bin1000010100010011100…
…0100011101101111100
3111122211012222122202200
42011010320203231330
54320114214112240
6145350443551500
713215636353514
oct2050470435574
9448735878680
10142889597820
11556654a8812
122383952b590
13106224300a8
146cb72d6844
153ab4758930
hex2144e23b7c

142889597820 has 144 divisors (see below), whose sum is σ = 461235902400. Its totient is φ = 35682121728.

The previous prime is 142889597801. The next prime is 142889597833. The reversal of 142889597820 is 28795988241.

142889597820 is a `hidden beast` number, since 1 + 428 + 89 + 59 + 7 + 82 + 0 = 666.

It is a super-2 number, since 2×1428895978202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491614 + ... + 726266.

It is an arithmetic number, because the mean of its divisors is an integer number (3203027100).

Almost surely, 2142889597820 is an apocalyptic number.

142889597820 is a gapful number since it is divisible by the number (10) 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 142889597820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230617951200).

142889597820 is an abundant number, since it is smaller than the sum of its proper divisors (318346304580).

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

142889597820 is a wasteful number, since it uses less digits than its factorization.

142889597820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234884 (or 234879 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 142889597820 in words is "one hundred forty-two billion, eight hundred eighty-nine million, five hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 199 204 255 306 340 398 510 597 612 765 796 995 1020 1194 1530 1791 1990 2388 2985 3060 3383 3582 3980 5970 6766 7164 8955 10149 11940 13532 16915 17910 20298 30447 33830 35820 40596 50745 60894 67660 101490 121788 152235 202980 234653 304470 469306 608940 703959 938612 1173265 1407918 2111877 2346530 2815836 3519795 3989101 4223754 4693060 7039590 7978202 8447508 10559385 11967303 14079180 15956404 19945505 21118770 23934606 35901909 39891010 42237540 46695947 47869212 59836515 71803818 79782020 93391894 119673030 140087841 143607636 179509545 186783788 233479735 239346060 280175682 359019090 420263523 466959470 560351364 700439205 718038180 793831099 840527046 933918940 1400878410 1587662198 1681054092 2101317615 2381493297 2801756820 3175324396 3969155495 4202635230 4762986594 7144479891 7938310990 8405270460 9525973188 11907466485 14288959782 15876621980 23814932970 28577919564 35722399455 47629865940 71444798910 142889597820