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1452741426400 = 255211165084253
BaseRepresentation
bin10101001000111110001…
…000101111110011100000
312010212210001021212010211
4111020332020233303200
5142300203301121100
63031214042303504
7206646200244415
oct25107610576340
95125701255124
101452741426400
115101167315a0
121b56741b7b94
13a6cba6061a4
145045507410c
1527bc851e1ba
hex1523e22fce0

1452741426400 has 72 divisors (see below), whose sum is σ = 3868914576744. Its totient is φ = 528269606400.

The previous prime is 1452741426343. The next prime is 1452741426401. The reversal of 1452741426400 is 46241472541.

It is a super-2 number, since 2×14527414264002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452741426401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82533327 + ... + 82550926.

It is an arithmetic number, because the mean of its divisors is an integer number (53734924677).

Almost surely, 21452741426400 is an apocalyptic number.

1452741426400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1452741426400 is an abundant number, since it is smaller than the sum of its proper divisors (2416173150344).

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

1452741426400 is a wasteful number, since it uses less digits than its factorization.

1452741426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165084284 (or 165084271 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

Adding to 1452741426400 its reverse (46241472541), we get a palindrome (1498982898941).

The spelling of 1452741426400 in words is "one trillion, four hundred fifty-two billion, seven hundred forty-one million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 165084253 330168506 660337012 825421265 1320674024 1650842530 1815926783 2641348048 3301685060 3631853566 4127106325 5282696096 6603370120 7263707132 8254212650 9079633915 13206740240 14527414264 16508425300 18159267830 26413480480 29054828528 33016850600 36318535660 45398169575 58109657056 66033701200 72637071320 90796339150 132067402400 145274142640 181592678300 290548285280 363185356600 726370713200 1452741426400