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146444944842 = 23217
BaseRepresentation
bin1000100001100011001…
…1001000010111001010
3112000000000000000000000
42020120303020113022
54344404401213332
6151135331223430
713403020330650
oct2103063102712
9460000000000
10146444944842
115711a398639
1224470147b76
1310a6aba7821
147133580dd0
153c21949b7c
hex2218cc85ca

146444944842 has 88 divisors (see below), whose sum is σ = 376572715296. Its totient is φ = 41841412812.

The previous prime is 146444944801. The next prime is 146444944873. The reversal of 146444944842 is 248449444641.

146444944842 is a `hidden beast` number, since 14 + 64 + 4 + 4 + 94 + 484 + 2 = 666.

It is a super-2 number, since 2×1464449448422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (14155776) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 20920706403 + ... + 20920706409.

Almost surely, 2146444944842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146444944842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188286357648).

146444944842 is an abundant number, since it is smaller than the sum of its proper divisors (230127770454).

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

146444944842 is an frugal number, since it uses more digits than its factorization.

146444944842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 12 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 146444944842 in words is "one hundred forty-six billion, four hundred forty-four million, nine hundred forty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 2187 3402 4374 5103 6561 10206 13122 15309 19683 30618 39366 45927 59049 91854 118098 137781 177147 275562 354294 413343 531441 826686 1062882 1240029 1594323 2480058 3188646 3720087 4782969 7440174 9565938 11160261 14348907 22320522 28697814 33480783 43046721 66961566 86093442 100442349 129140163 200884698 258280326 301327047 387420489 602654094 774840978 903981141 1162261467 1807962282 2324522934 2711943423 3486784401 5423886846 6973568802 8135830269 10460353203 16271660538 20920706406 24407490807 48814981614 73222472421 146444944842