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404121412100 = 225271015716003
BaseRepresentation
bin1011110000101111000…
…00110110001000000100
31102122002220201210112102
411320113200312020010
523110120040141400
6505352324211232
741124335216510
oct5702740661004
91378086653472
10404121412100
111464290022aa
12663a3539b18
132c15445c623
14157b96bd140
15a7a36529d5
hex5e17836204

404121412100 has 72 divisors (see below), whose sum is σ = 1012144260288. Its totient is φ = 137184048000.

The previous prime is 404121412091. The next prime is 404121412109. The reversal of 404121412100 is 1214121404.

It is an interprime number because it is at equal distance from previous prime (404121412091) and next prime (404121412109).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (404121412109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2787302 + ... + 2928701.

Almost surely, 2404121412100 is an apocalyptic number.

It is an amenable number.

404121412100 is an abundant number, since it is smaller than the sum of its proper divisors (608022848188).

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

404121412100 is a wasteful number, since it uses less digits than its factorization.

404121412100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716125 (or 5716118 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 404121412100 its reverse (1214121404), we get a palindrome (405335533504).

The spelling of 404121412100 in words is "four hundred four billion, one hundred twenty-one million, four hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 35350 70700 5716003 11432006 22864012 28580015 40012021 57160030 80024042 114320060 142900075 160048084 200060105 285800150 400120210 571600300 577316303 800240420 1000300525 1154632606 2000601050 2309265212 2886581515 4001202100 4041214121 5773163030 8082428242 11546326060 14432907575 16164856484 20206070605 28865815150 40412141210 57731630300 80824282420 101030353025 202060706050 404121412100