Search a number
-
+
141816444 = 223711314951
BaseRepresentation
bin10000111001111…
…11001001111100
3100212212000120220
420130333021330
5242301111234
622023341340
73341264010
oct1034771174
9325760526
10141816444
1173062880
123b5b1850
13234c5073
1414b98540
15c6b4a49
hex873f27c

141816444 has 96 divisors (see below), whose sum is σ = 425951232. Its totient is φ = 35640000.

The previous prime is 141816439. The next prime is 141816461. The reversal of 141816444 is 444618141.

It is a happy number.

It is a super-2 number, since 2×1418164442 = 40223807577610272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 26169 + ... + 31119.

It is an arithmetic number, because the mean of its divisors is an integer number (4436992).

Almost surely, 2141816444 is an apocalyptic number.

141816444 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 141816444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212975616).

141816444 is an abundant number, since it is smaller than the sum of its proper divisors (284134788).

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

141816444 is a wasteful number, since it uses less digits than its factorization.

141816444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 5005 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 141816444 is about 11908.6709585915. The cubic root of 141816444 is about 521.4854517724.

The spelling of 141816444 in words is "one hundred forty-one million, eight hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 4951 7161 9548 9902 14322 14853 19804 28644 29706 34657 54461 59412 69314 103971 108922 138628 153481 163383 207942 217844 306962 326766 381227 415884 460443 613924 653532 762454 920886 1074367 1143681 1524908 1688291 1841772 2148734 2287362 3223101 3376582 4297468 4574724 5064873 6446202 6753164 10129746 11818037 12892404 20259492 23636074 35454111 47272148 70908222 141816444