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1412121040 = 245111984457
BaseRepresentation
bin101010000101011…
…0100000111010000
310122102011011220021
41110022310013100
510343000333130
6352042353224
746664554651
oct12412640720
93572134807
101412121040
11665118490
12334abb814
131967338a5
14d5789528
1583e8b37a
hex542b41d0

1412121040 has 80 divisors (see below), whose sum is σ = 3770205120. Its totient is φ = 486466560.

The previous prime is 1412121023. The next prime is 1412121043. The reversal of 1412121040 is 401212141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14121210402 = 3988171663221363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412121043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25509 + ... + 58948.

It is an arithmetic number, because the mean of its divisors is an integer number (47127564).

Almost surely, 21412121040 is an apocalyptic number.

1412121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1412121040 is an abundant number, since it is smaller than the sum of its proper divisors (2358084080).

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

1412121040 is a wasteful number, since it uses less digits than its factorization.

1412121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84500 (or 84494 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1412121040 is about 37578.1989988876. The cubic root of 1412121040 is about 1121.9081630004.

Adding to 1412121040 its reverse (401212141), we get a palindrome (1813333181).

The spelling of 1412121040 in words is "one billion, four hundred twelve million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 84457 168914 337828 422285 675656 844570 929027 1351312 1604683 1689140 1858054 3209366 3378280 3716108 4645135 6418732 6756560 7432216 8023415 9290270 12837464 14864432 16046830 17651513 18580540 25674928 32093660 35303026 37161080 64187320 70606052 74322160 88257565 128374640 141212104 176515130 282424208 353030260 706060520 1412121040