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141145884 = 2232111013529
BaseRepresentation
bin10000110100110…
…11011100011100
3100211120221202100
420122123130130
5242113132014
622001125100
73332502015
oct1032333434
9324527670
10141145884
1172744aa0
123b329790
132331ba99
1414a6200c
15c5d1009
hex869b71c

141145884 has 72 divisors (see below), whose sum is σ = 393185520. Its totient is φ = 42336000.

The previous prime is 141145867. The next prime is 141145919. The reversal of 141145884 is 488541141.

141145884 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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, 38232 + ... + 41760.

It is an arithmetic number, because the mean of its divisors is an integer number (5460910).

Almost surely, 2141145884 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 141145884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196592760).

141145884 is an abundant number, since it is smaller than the sum of its proper divisors (252039636).

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

141145884 is a wasteful number, since it uses less digits than its factorization.

141145884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3646 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 141145884 is about 11880.4833235016. The cubic root of 141145884 is about 520.6622282759.

The spelling of 141145884 in words is "one hundred forty-one million, one hundred forty-five thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1818 2222 3333 3529 3636 4444 6666 7058 9999 10587 13332 14116 19998 21174 31761 38819 39996 42348 63522 77638 116457 127044 155276 232914 349371 356429 465828 698742 712858 1069287 1397484 1425716 2138574 3207861 3920719 4277148 6415722 7841438 11762157 12831444 15682876 23524314 35286471 47048628 70572942 141145884