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1412004440 = 2357113591277
BaseRepresentation
bin101010000101001…
…0111101001011000
310122101221020221202
41110022113221120
510342433120230
6352040053332
746663561010
oct12412275130
93571836852
101412004440
11665048920
12334a64248
131966c27b2
14d5758c40
1583e66a45
hex54297a58

1412004440 has 128 divisors (see below), whose sum is σ = 3975091200. Its totient is φ = 438535680.

The previous prime is 1412004439. The next prime is 1412004449. The reversal of 1412004440 is 444002141.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412004449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105082 + ... + 1106358.

It is an arithmetic number, because the mean of its divisors is an integer number (31055400).

Almost surely, 21412004440 is an apocalyptic number.

1412004440 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 1412004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987545600).

1412004440 is an abundant number, since it is smaller than the sum of its proper divisors (2563086760).

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

1412004440 is a wasteful number, since it uses less digits than its factorization.

1412004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1412004440 is about 37576.6475354042. The cubic root of 1412004440 is about 1121.8772831894.

Adding to 1412004440 its reverse (444002141), we get a palindrome (1856006581).

The spelling of 1412004440 in words is "one billion, four hundred twelve million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 359 385 440 616 718 770 1277 1436 1540 1795 2513 2554 2872 3080 3590 3949 5026 5108 6385 7180 7898 8939 10052 10216 12565 12770 14047 14360 15796 17878 19745 20104 25130 25540 27643 28094 31592 35756 39490 44695 50260 51080 55286 56188 70235 71512 78980 89390 98329 100520 110572 112376 138215 140470 157960 178780 196658 221144 276430 280940 357560 393316 458443 491645 552860 561880 786632 916886 983290 1105720 1833772 1966580 2292215 3209101 3667544 3933160 4584430 5042873 6418202 9168860 10085746 12836404 16045505 18337720 20171492 25214365 25672808 32091010 35300111 40342984 50428730 64182020 70600222 100857460 128364040 141200444 176500555 201714920 282400888 353001110 706002220 1412004440