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1245140314400 = 25527012220293
BaseRepresentation
bin10010000111101000001…
…001010110100100100000
311102000220222011200012202
4102013220021112210200
5130400021410030100
62352002022112332
7155646511021133
oct22075011264440
94360828150182
101245140314400
11440074279454
12181396b7b6a8
13905545b6308
144439d68021a
15225c7ae37d5
hex121e8256920

1245140314400 has 72 divisors (see below), whose sum is σ = 3044036395764. Its totient is φ = 497345408000.

The previous prime is 1245140314291. The next prime is 1245140314427. The reversal of 1245140314400 is 44130415421.

It can be written as a sum of positive squares in 6 ways, for example, as 809344932496 + 435795381904 = 899636^2 + 660148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 549347 + ... + 1670946.

Almost surely, 21245140314400 is an apocalyptic number.

1245140314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1245140314400 is an abundant number, since it is smaller than the sum of its proper divisors (1798896081364).

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

1245140314400 is a wasteful number, since it uses less digits than its factorization.

1245140314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221014 (or 2221001 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 1245140314400 its reverse (44130415421), we get a palindrome (1289270729821).

The spelling of 1245140314400 in words is "one trillion, two hundred forty-five billion, one hundred forty million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 701 800 1402 2804 3505 5608 7010 11216 14020 17525 22432 28040 35050 56080 70100 112160 140200 280400 560800 2220293 4440586 8881172 11101465 17762344 22202930 35524688 44405860 55507325 71049376 88811720 111014650 177623440 222029300 355246880 444058600 888117200 1556425393 1776234400 3112850786 6225701572 7782126965 12451403144 15564253930 24902806288 31128507860 38910634825 49805612576 62257015720 77821269650 124514031440 155642539300 249028062880 311285078600 622570157200 1245140314400