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141884008 = 2373291783
BaseRepresentation
bin10000111010011…
…11101001101000
3100212222110021021
420131033221220
5242310242013
622025022224
73341665000
oct1035175150
9325873237
10141884008
11730a9612
123b624974
1323519a46
1414bb5000
15c6c9a8d
hex874fa68

141884008 has 64 divisors (see below), whose sum is σ = 321120000. Its totient is φ = 58677696.

The previous prime is 141884003. The next prime is 141884009. The reversal of 141884008 is 800488141.

It is a happy number.

141884008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1418840082 = 40262143452288128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141884003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78685 + ... + 80467.

It is an arithmetic number, because the mean of its divisors is an integer number (5017500).

Almost surely, 2141884008 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 141884008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160560000).

141884008 is an abundant number, since it is smaller than the sum of its proper divisors (179235992).

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

141884008 is a wasteful number, since it uses less digits than its factorization.

141884008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 141884008 is about 11911.5073773221. The cubic root of 141884008 is about 521.5682537574.

The spelling of 141884008 in words is "one hundred forty-one million, eight hundred eighty-four thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 343 392 406 686 812 1372 1421 1624 1783 2744 2842 3566 5684 7132 9947 11368 12481 14264 19894 24962 39788 49924 51707 79576 87367 99848 103414 174734 206828 349468 361949 413656 611569 698936 723898 1223138 1447796 2446276 2533643 2895592 4892552 5067286 10134572 17735501 20269144 35471002 70942004 141884008