Search a number
-
+
142337244 = 223731471163
BaseRepresentation
bin10000111101111…
…10010011011100
3100220211110222210
420132332103130
5242414242434
622042440420
73345563250
oct1036762334
9326743883
10142337244
1173389095
123b803110
132364812a
1414c92260
15c768ee9
hex87be4dc

142337244 has 96 divisors (see below), whose sum is σ = 400490496. Its totient is φ = 38485440.

The previous prime is 142337231. The next prime is 142337263. The reversal of 142337244 is 442733241.

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 31 ways as a sum of consecutive naturals, for example, 121807 + ... + 122969.

It is an arithmetic number, because the mean of its divisors is an integer number (4171776).

Almost surely, 2142337244 is an apocalyptic number.

142337244 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 142337244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200245248).

142337244 is an abundant number, since it is smaller than the sum of its proper divisors (258153252).

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

142337244 is a wasteful number, since it uses less digits than its factorization.

142337244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 142337244 is about 11930.5173399983. The cubic root of 142337244 is about 522.1230314367.

The spelling of 142337244 in words is "one hundred forty-two million, three hundred thirty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 47 62 84 93 94 124 141 186 188 217 282 329 372 434 564 651 658 868 987 1163 1302 1316 1457 1974 2326 2604 2914 3489 3948 4371 4652 5828 6978 8141 8742 10199 13956 16282 17484 20398 24423 30597 32564 36053 40796 48846 54661 61194 72106 97692 108159 109322 122388 144212 163983 216318 218644 252371 327966 382627 432636 504742 655932 757113 765254 1009484 1147881 1514226 1530508 1694491 2295762 3028452 3388982 4591524 5083473 6777964 10166946 11861437 20333892 23722874 35584311 47445748 71168622 142337244