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414899142 = 237149167397
BaseRepresentation
bin11000101110101…
…101101111000110
31001220201001121220
4120232231233012
51322203233032
6105100421210
713165404330
oct3056555706
91056631556
10414899142
111a3221959
12b6b47806
1367c5a068
143d162450
152665812c
hex18badbc6

414899142 has 64 divisors (see below), whose sum is σ = 962841600. Its totient is φ = 116747136.

The previous prime is 414899137. The next prime is 414899171. The reversal of 414899142 is 241998414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 414899094 and 414899103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044888 + ... + 1045284.

It is an arithmetic number, because the mean of its divisors is an integer number (15044400).

Almost surely, 2414899142 is an apocalyptic number.

414899142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414899142 is an abundant number, since it is smaller than the sum of its proper divisors (547942458).

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

414899142 is a wasteful number, since it uses less digits than its factorization.

414899142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its digits is 82944, while the sum is 42.

The square root of 414899142 is about 20369.0731747912. The cubic root of 414899142 is about 745.8431617138.

The spelling of 414899142 in words is "four hundred fourteen million, eight hundred ninety-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 149 167 298 334 397 447 501 794 894 1002 1043 1169 1191 2086 2338 2382 2779 3129 3507 5558 6258 7014 8337 16674 24883 49766 59153 66299 74649 118306 132598 149298 174181 177459 198897 348362 354918 397794 414071 464093 522543 828142 928186 1045086 1242213 1392279 2484426 2784558 9878551 19757102 29635653 59271306 69149857 138299714 207449571 414899142