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141814416 = 2434762861
BaseRepresentation
bin10000111001111…
…10101010010000
3100212211220210210
420130332222100
5242301030131
622023324120
73341255052
oct1034765220
9325756723
10141814416
11730612a7
123b5b0640
13234c4173
1414b978d2
15c6b4146
hex873ea90

141814416 has 40 divisors (see below), whose sum is σ = 374154624. Its totient is φ = 46264960.

The previous prime is 141814373. The next prime is 141814427. The reversal of 141814416 is 614418141.

It is a super-2 number, since 2×1418144162 = 40222657170842112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29175 + ... + 33686.

Almost surely, 2141814416 is an apocalyptic number.

141814416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

141814416 is an abundant number, since it is smaller than the sum of its proper divisors (232340208).

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

141814416 is a wasteful number, since it uses less digits than its factorization.

141814416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62919 (or 62913 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 141814416 is about 11908.5858102463. The cubic root of 141814416 is about 521.4829659828.

It can be divided in two parts, 141 and 814416, that multiplied together give a square (114832656 = 107162).

The spelling of 141814416 in words is "one hundred forty-one million, eight hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 62861 125722 188583 251444 377166 502888 754332 1005776 1508664 2954467 3017328 5908934 8863401 11817868 17726802 23635736 35453604 47271472 70907208 141814416