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141711144 = 23343353389
BaseRepresentation
bin10000111001001…
…01011100101000
3100212122200010220
420130211130220
5242234224034
622021210040
73340345011
oct1034453450
9325580126
10141711144
1172aa0753
123b560920
1323489163
1414b6c008
15c693749
hex8725728

141711144 has 64 divisors (see below), whose sum is σ = 364478400. Its totient is φ = 45889536.

The previous prime is 141711107. The next prime is 141711161. The reversal of 141711144 is 441117141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364102 + ... + 364490.

It is an arithmetic number, because the mean of its divisors is an integer number (5694975).

Almost surely, 2141711144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141711144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182239200).

141711144 is an abundant number, since it is smaller than the sum of its proper divisors (222767256).

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

141711144 is a wasteful number, since it uses less digits than its factorization.

141711144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 141711144 is about 11904.2489893315. The cubic root of 141711144 is about 521.3563505833.

Adding to 141711144 its reverse (441117141), we get a palindrome (582828285).

It can be divided in two parts, 1417 and 11144, that added together give a triangular number (12561 = T158).

The spelling of 141711144 in words is "one hundred forty-one million, seven hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 353 389 516 706 778 1032 1059 1167 1412 1556 2118 2334 2824 3112 4236 4668 8472 9336 15179 16727 30358 33454 45537 50181 60716 66908 91074 100362 121432 133816 137317 182148 200724 274634 364296 401448 411951 549268 823902 1098536 1647804 3295608 5904631 11809262 17713893 23618524 35427786 47237048 70855572 141711144