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141314220 = 2235529077
BaseRepresentation
bin10000110110001…
…00100010101100
3100211220111200000
420123010202230
5242134023340
622004504300
73334102545
oct1033044254
9324814600
10141314220
117284a513
123b3ab090
132337a5a8
1414aa74cc
15c615d30
hex86c48ac

141314220 has 72 divisors (see below), whose sum is σ = 444544464. Its totient is φ = 37682496.

The previous prime is 141314209. The next prime is 141314227. The reversal of 141314220 is 22413141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141314193 and 141314202.

It is not an unprimeable number, because it can be changed into a prime (141314227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9679 + ... + 19398.

Almost surely, 2141314220 is an apocalyptic number.

141314220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141314220 is an abundant number, since it is smaller than the sum of its proper divisors (303230244).

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

141314220 is a wasteful number, since it uses less digits than its factorization.

141314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29101 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 141314220 is about 11887.5657726887. The cubic root of 141314220 is about 520.8691332974.

Adding to 141314220 its reverse (22413141), we get a palindrome (163727361).

The spelling of 141314220 in words is "one hundred forty-one million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 29077 58154 87231 116308 145385 174462 261693 290770 348924 436155 523386 581540 785079 872310 1046772 1308465 1570158 1744620 2355237 2616930 3140316 3925395 4710474 5233860 7065711 7850790 9420948 11776185 14131422 15701580 23552370 28262844 35328555 47104740 70657110 141314220