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141412404 = 223771131181
BaseRepresentation
bin10000110110111…
…00100000110100
3100212002111100110
420123130200310
5242200144104
622010543020
73334662030
oct1033344064
9325074313
10141412404
1172907261
123b437a70
13233b31a3
1414ad11c0
15c634e89
hex86dc834

141412404 has 96 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 39312000.

The previous prime is 141412399. The next prime is 141412417. The reversal of 141412404 is 404214141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781194 + ... + 781374.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2141412404 is an apocalyptic number.

141412404 is a gapful number since it is divisible by the number (14) 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 141412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

141412404 is an abundant number, since it is smaller than the sum of its proper divisors (246046668).

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

141412404 is a wasteful number, since it uses less digits than its factorization.

141412404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 141412404 is about 11891.6947488573. The cubic root of 141412404 is about 520.9897372853.

Adding to 141412404 its reverse (404214141), we get a palindrome (545626545).

The spelling of 141412404 in words is "one hundred forty-one million, four hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 131 142 181 213 262 284 362 393 426 497 524 543 724 786 852 917 994 1086 1267 1491 1572 1834 1988 2172 2534 2751 2982 3668 3801 5068 5502 5964 7602 9301 11004 12851 15204 18602 23711 25702 27903 37204 38553 47422 51404 55806 65107 71133 77106 89957 94844 111612 130214 142266 154212 165977 179914 195321 260428 269871 284532 331954 359828 390642 497931 539742 663908 781284 995862 1079484 1683481 1991724 3366962 5050443 6733924 10100886 11784367 20201772 23568734 35353101 47137468 70706202 141412404