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1412014100 = 2252711317851
BaseRepresentation
bin101010000101001…
…1010000000010100
310122101221202012112
41110022122000110
510342433422400
6352040210152
746663631120
oct12412320024
93571852175
101412014100
11665055102
12334a69958
131966c7003
14d575c580
1583e69835
hex5429a014

1412014100 has 72 divisors (see below), whose sum is σ = 3532982208. Its totient is φ = 479808000.

The previous prime is 1412014099. The next prime is 1412014111. The reversal of 1412014100 is 14102141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70175 + ... + 88025.

Almost surely, 21412014100 is an apocalyptic number.

1412014100 is a gapful number since it is divisible by the number (10) 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 1412014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766491104).

1412014100 is an abundant number, since it is smaller than the sum of its proper divisors (2120968108).

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

1412014100 is a wasteful number, since it uses less digits than its factorization.

1412014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17985 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1412014100 is about 37576.7760724626. The cubic root of 1412014100 is about 1121.8798415642.

Adding to 1412014100 its reverse (14102141), we get a palindrome (1426116241).

The spelling of 1412014100 in words is "one billion, four hundred twelve million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 113 140 175 226 350 452 565 700 791 1130 1582 2260 2825 3164 3955 5650 7910 11300 15820 17851 19775 35702 39550 71404 79100 89255 124957 178510 249914 357020 446275 499828 624785 892550 1249570 1785100 2017163 2499140 3123925 4034326 6247850 8068652 10085815 12495700 14120141 20171630 28240282 40343260 50429075 56480564 70600705 100858150 141201410 201716300 282402820 353003525 706007050 1412014100