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142081184 = 2572313779
BaseRepresentation
bin10000111011111…
…11110010100000
3100220100110202002
420131333302200
5242333044214
622033143132
73343445600
oct1035776240
9326313662
10142081184
1173223773
123b6baaa8
132358870b
1414c26c00
15c7181de
hex877fca0

142081184 has 144 divisors (see below), whose sum is σ = 349332480. Its totient is φ = 56609280.

The previous prime is 142081169. The next prime is 142081201. The reversal of 142081184 is 481180241.

It is a happy number.

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, 1798457 + ... + 1798535.

It is an arithmetic number, because the mean of its divisors is an integer number (2425920).

Almost surely, 2142081184 is an apocalyptic number.

142081184 is a gapful number since it is divisible by the number (14) 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 142081184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

142081184 is an abundant number, since it is smaller than the sum of its proper divisors (207251296).

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

142081184 is a wasteful number, since it uses less digits than its factorization.

142081184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 142081184 is about 11919.7812060457. The cubic root of 142081184 is about 521.8097494717.

The spelling of 142081184 in words is "one hundred forty-two million, eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 49 56 62 74 79 98 112 124 148 158 196 217 224 248 259 296 316 392 434 496 518 553 592 632 784 868 992 1036 1106 1147 1184 1264 1519 1568 1736 1813 2072 2212 2294 2449 2528 2923 3038 3472 3626 3871 4144 4424 4588 4898 5846 6076 6944 7252 7742 8029 8288 8848 9176 9796 11692 12152 14504 15484 16058 17143 17696 18352 19592 20461 23384 24304 29008 30968 32116 34286 36704 39184 40922 46768 48608 56203 58016 61936 64232 68572 78368 81844 90613 93536 112406 120001 123872 128464 137144 143227 163688 181226 224812 240002 256928 274288 286454 327376 362452 449624 480004 548576 572908 634291 654752 724904 899248 960008 1145816 1268582 1449808 1798496 1920016 2291632 2537164 2899616 3840032 4440037 4583264 5074328 8880074 10148656 17760148 20297312 35520296 71040592 142081184