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141819072 = 2631674423
BaseRepresentation
bin10000111001111…
…11110011000000
3100212212011012020
420130333303000
5242301202242
622023401440
73341304453
oct1034776300
9325764166
10141819072
117306484a
123b5b3280
13234c6315
1414b9949a
15c6b56ec
hex873fcc0

141819072 has 56 divisors (see below), whose sum is σ = 377561856. Its totient is φ = 46979328.

The previous prime is 141819061. The next prime is 141819103. The reversal of 141819072 is 270918141.

141819072 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 super-2 number, since 2×1418190722 = 40225298365882368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29853 + ... + 34275.

It is an arithmetic number, because the mean of its divisors is an integer number (6742176).

Almost surely, 2141819072 is an apocalyptic number.

141819072 is a gapful number since it is divisible by the number (12) 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 141819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188780928).

141819072 is an abundant number, since it is smaller than the sum of its proper divisors (235742784).

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

141819072 is a wasteful number, since it uses less digits than its factorization.

141819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 141819072 is about 11908.7812978491. The cubic root of 141819072 is about 521.4886729675.

The spelling of 141819072 in words is "one hundred forty-one million, eight hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 4423 5344 8016 8846 10688 13269 16032 17692 26538 32064 35384 53076 70768 106152 141536 212304 283072 424608 738641 849216 1477282 2215923 2954564 4431846 5909128 8863692 11818256 17727384 23636512 35454768 47273024 70909536 141819072