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142309188 = 223272343571
BaseRepresentation
bin10000111101101…
…11011101000100
3100220210001111200
420132313131010
5242412343223
622042102500
73345415410
oct1036673504
9326701450
10142309188
1173369aaa
123b7aaa30
1323638428
1414c85d40
15c760a43
hex87b7744

142309188 has 144 divisors (see below), whose sum is σ = 439735296. Its totient is φ = 37920960.

The previous prime is 142309171. The next prime is 142309247. The reversal of 142309188 is 881903241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248943 + ... + 249513.

Almost surely, 2142309188 is an apocalyptic number.

142309188 is a gapful number since it is divisible by the number (18) 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 142309188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219867648).

142309188 is an abundant number, since it is smaller than the sum of its proper divisors (297426108).

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

142309188 is a wasteful number, since it uses less digits than its factorization.

142309188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 142309188 is about 11929.3414738618. The cubic root of 142309188 is about 522.0887240741.

The spelling of 142309188 in words is "one hundred forty-two million, three hundred nine thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 43 46 63 69 84 86 92 126 129 138 161 172 207 252 258 276 301 322 387 414 483 516 571 602 644 774 828 903 966 989 1142 1204 1449 1548 1713 1806 1932 1978 2284 2709 2898 2967 3426 3612 3956 3997 5139 5418 5796 5934 6852 6923 7994 8901 10278 10836 11868 11991 13133 13846 15988 17802 20556 20769 23982 24553 26266 27692 35604 35973 39399 41538 47964 49106 52532 62307 71946 73659 78798 83076 91931 98212 118197 124614 143892 147318 157596 171871 183862 220977 236394 249228 275793 294636 343742 367724 441954 472788 515613 551586 564719 687484 827379 883908 1031226 1103172 1129438 1546839 1654758 1694157 2062452 2258876 3093678 3309516 3388314 3953033 5082471 6187356 6776628 7906066 10164942 11859099 15812132 20329884 23718198 35577297 47436396 71154594 142309188