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142842087990 = 23257317313983
BaseRepresentation
bin1000010100001000001…
…1010100101000110110
3111122200220120220112100
42011002003110220312
54320020033303430
6145342025402530
713214521500060
oct2050203245066
9448626526470
10142842087990
11556406a8998
1223825639446
1310615637274
146cb0c8a730
153ab04c1960
hex21420d4a36

142842087990 has 96 divisors (see below), whose sum is σ = 438136897536. Its totient is φ = 31596402240.

The previous prime is 142842087961. The next prime is 142842088007. The reversal of 142842087990 is 99780248241.

142842087990 is a `hidden beast` number, since 1 + 4 + 284 + 208 + 79 + 90 = 666.

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, 3637462 + ... + 3676521.

It is an arithmetic number, because the mean of its divisors is an integer number (4563926016).

Almost surely, 2142842087990 is an apocalyptic number.

142842087990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142842087990 is an abundant number, since it is smaller than the sum of its proper divisors (295294809546).

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

142842087990 is a wasteful number, since it uses less digits than its factorization.

142842087990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314034 (or 7314031 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 142842087990 in words is "one hundred forty-two billion, eight hundred forty-two million, eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 7313983 14627966 21941949 36569915 43883898 51197881 65825847 73139830 102395762 109709745 131651694 153593643 219419490 226733473 255989405 307187286 329129235 453466946 460780929 511978810 658258470 680200419 767968215 921561858 1133667365 1360400838 1535936430 1587134311 2040601257 2267334730 2303904645 3174268622 3401002095 4081202514 4607809290 4761402933 6802004190 7935671555 9522805866 10203006285 14284208799 15871343110 20406012570 23807014665 28568417598 47614029330 71421043995 142842087990