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42141466422 = 232112109177511
BaseRepresentation
bin100111001111110100…
…111011111100110110
311000202220121022011200
4213033310323330312
51142301203411142
631205353513330
73021206361066
oct471764737466
9130686538150
1042141466422
1116965839500
128201112846
133c8792b563
14207ab6d3a6
1511699e064c
hex9cfd3bf36

42141466422 has 72 divisors (see below), whose sum is σ = 101283021840. Its totient is φ = 12652912800.

The previous prime is 42141466397. The next prime is 42141466427. The reversal of 42141466422 is 22466414124.

42141466422 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 1 + 4 + 6 + 642 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141466427) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148647 + ... + 326157.

Almost surely, 242141466422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42141466422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50641510920).

42141466422 is an abundant number, since it is smaller than the sum of its proper divisors (59141555418).

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

42141466422 is a wasteful number, since it uses less digits than its factorization.

42141466422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177650 (or 177636 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 42141466422 in words is "forty-two billion, one hundred forty-one million, four hundred sixty-six thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 109 121 198 218 242 327 363 654 726 981 1089 1199 1962 2178 2398 3597 7194 10791 13189 21582 26378 39567 79134 118701 177511 237402 355022 532533 1065066 1597599 1952621 3195198 3905242 5857863 11715726 17573589 19348699 21478831 35147178 38697398 42957662 58046097 64436493 116092194 128872986 174138291 193309479 212835689 348276582 386618958 425671378 638507067 1277014134 1915521201 2341192579 3831042402 4682385158 7023577737 14047155474 21070733211 42141466422