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142444176 = 2437271853
BaseRepresentation
bin10000111110110…
…00011010010000
3100221000220200020
420133120122100
5242431203201
622045023440
73346520100
oct1037303220
9327026606
10142444176
1173451466
123b854b80
13236849c4
1414cbd200
15c78aa36
hex87d8690

142444176 has 120 divisors (see below), whose sum is σ = 434597184. Its totient is φ = 40078080.

The previous prime is 142444157. The next prime is 142444187. The reversal of 142444176 is 671444241.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166566 + ... + 167418.

Almost surely, 2142444176 is an apocalyptic number.

142444176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142444176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217298592).

142444176 is an abundant number, since it is smaller than the sum of its proper divisors (292153008).

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

142444176 is a wasteful number, since it uses less digits than its factorization.

142444176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 142444176 is about 11934.9979472139. The cubic root of 142444176 is about 522.2537484178.

The spelling of 142444176 in words is "one hundred forty-two million, four hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 853 994 1136 1176 1491 1704 1706 1988 2352 2559 2982 3408 3412 3479 3976 5118 5964 5971 6824 6958 7952 10236 10437 11928 11942 13648 13916 17913 20472 20874 23856 23884 27832 35826 40944 41748 41797 47768 55664 60563 71652 83496 83594 95536 121126 125391 143304 166992 167188 181689 242252 250782 286608 334376 363378 423941 484504 501564 668752 726756 847882 969008 1003128 1271823 1453512 1695764 2006256 2543646 2907024 2967587 3391528 5087292 5935174 6783056 8902761 10174584 11870348 17805522 20349168 23740696 35611044 47481392 71222088 142444176