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342181791168 = 26371327191861
BaseRepresentation
bin1001111101010111001…
…11111100010111000000
31012201020020102001001220
410332223213330113000
521101242014304133
6421110211155040
733502404143340
oct4765347742700
91181206361056
10342181791168
11122133778338
1256397ba5a80
1326362c08759
14127c13aad20
158d7a9b75b3
hex4fab9fc5c0

342181791168 has 112 divisors (see below), whose sum is σ = 1035477679104. Its totient is φ = 97692042240.

The previous prime is 342181791157. The next prime is 342181791199. The reversal of 342181791168 is 861197181243.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 342181791168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687558 + ... + 1879418.

Almost surely, 2342181791168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342181791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517738839552).

342181791168 is an abundant number, since it is smaller than the sum of its proper divisors (693295887936).

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

342181791168 is a wasteful number, since it uses less digits than its factorization.

342181791168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193210 (or 193200 counting only the distinct ones).

The product of its digits is 580608, while the sum is 51.

The spelling of 342181791168 in words is "three hundred forty-two billion, one hundred eighty-one million, seven hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1327 1344 2654 3981 5308 7962 9289 10616 15924 18578 21232 27867 31848 37156 42464 55734 63696 74312 84928 111468 127392 148624 191861 222936 254784 297248 383722 445872 575583 594496 767444 891744 1151166 1343027 1534888 1783488 2302332 2686054 3069776 4029081 4604664 5372108 6139552 8058162 9209328 10744216 12279104 16116324 18418656 21488432 32232648 36837312 42976864 64465296 85953728 128930592 254599547 257861184 509199094 763798641 1018398188 1527597282 1782196829 2036796376 3055194564 3564393658 4073592752 5346590487 6110389128 7128787316 8147185504 10693180974 12220778256 14257574632 16294371008 21386361948 24441556512 28515149264 42772723896 48883113024 57030298528 85545447792 114060597056 171090895584 342181791168