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42144102 = 232711132339
BaseRepresentation
bin1010000011000…
…1000101100110
32221022010211200
42200301011212
541242102402
64103143330
71021135050
oct240610546
987263750
1042144102
1121875540
1212144b46
138967750
1458508d0
153a7721c
hex2831166

42144102 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 10100160.

The previous prime is 42144079. The next prime is 42144103. The reversal of 42144102 is 20144124.

It is a super-2 number, since 2×421441022 = 3552250666772808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16849 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 242144102 is an apocalyptic number.

42144102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

42144102 is an abundant number, since it is smaller than the sum of its proper divisors (80509338).

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

42144102 is a wasteful number, since it uses less digits than its factorization.

42144102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42144102 is about 6491.8488891840. The cubic root of 42144102 is about 347.9997522789. Note that the first 3 decimals are identical.

Adding to 42144102 its reverse (20144124), we get a palindrome (62288226).

The spelling of 42144102 in words is "forty-two million, one hundred forty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2339 2574 3003 4678 6006 7017 9009 14034 16373 18018 21051 25729 30407 32746 42102 49119 51458 60814 77187 91221 98238 147357 154374 180103 182442 212849 231561 273663 294714 334477 360206 425698 463122 540309 547326 638547 668954 1003431 1080618 1277094 1620927 1915641 2006862 2341339 3010293 3241854 3831282 4682678 6020586 7024017 14048034 21072051 42144102