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1412104001 = 721123741157
BaseRepresentation
bin101010000101010…
…1111111101000001
310122102010022112012
41110022233331001
510342444312001
6352042142305
746664454200
oct12412577501
93572108465
101412104001
11665106700
12334ab1995
13196728bc9
14d5783237
1583e862bb
hex542aff41

1412104001 has 72 divisors (see below), whose sum is σ = 1911685608. Its totient is φ = 1037836800.

The previous prime is 1412103991. The next prime is 1412104037. The reversal of 1412104001 is 1004012141.

It can be written as a sum of positive squares in 4 ways, for example, as 74373376 + 1337730625 = 8624^2 + 36575^2 .

It is not a de Polignac number, because 1412104001 - 26 = 1412103937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1412104051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8994215 + ... + 8994371.

It is an arithmetic number, because the mean of its divisors is an integer number (26551189).

Almost surely, 21412104001 is an apocalyptic number.

1412104001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1412104001 is a deficient number, since it is larger than the sum of its proper divisors (499581607).

1412104001 is a wasteful number, since it uses less digits than its factorization.

1412104001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

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

The square root of 1412104001 is about 37577.9722843051. The cubic root of 1412104001 is about 1121.9036505756.

Adding to 1412104001 its reverse (1004012141), we get a palindrome (2416116142).

The spelling of 1412104001 in words is "one billion, four hundred twelve million, one hundred four thousand, one".

Divisors: 1 7 11 37 41 49 77 121 157 259 287 407 451 539 847 1099 1517 1727 1813 2009 2849 3157 4477 4961 5809 5929 6437 7693 10619 12089 16687 18997 19943 22099 31339 34727 40663 45059 63899 70807 74333 84623 116809 132979 183557 219373 238169 243089 284641 315413 447293 495649 702889 778877 817663 930853 1284899 1667183 2619859 3131051 3469543 4920223 5452139 8994293 11670281 18339013 28818449 34441561 38164973 128373091 201729143 1412104001