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42521214400 = 265273796537
BaseRepresentation
bin100111100110011101…
…100011110111000000
311001202101011111110121
4213212131203313000
51144040412330100
631311201110024
73033500234050
oct474635436700
9131671144417
1042521214400
1117040131805
1282a8328314
1340184cbac2
1420b5381560
15118d00351a
hex9e6763dc0

42521214400 has 84 divisors (see below), whose sum is σ = 119575760848. Its totient is φ = 14578698240.

The previous prime is 42521214347. The next prime is 42521214443. The reversal of 42521214400 is 441212524.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887069 + ... + 1909468.

Almost surely, 242521214400 is an apocalyptic number.

42521214400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42521214400 is an abundant number, since it is smaller than the sum of its proper divisors (77054546448).

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

42521214400 is a wasteful number, since it uses less digits than its factorization.

42521214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796566 (or 3796551 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42521214400 its reverse (441212524), we get a palindrome (42962426924).

The spelling of 42521214400 in words is "forty-two billion, five hundred twenty-one million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 3796537 7593074 15186148 18982685 26575759 30372296 37965370 53151518 60744592 75930740 94913425 106303036 121489184 132878795 151861480 189826850 212606072 242978368 265757590 303722960 379653700 425212144 531515180 607445920 664393975 759307400 850424288 1063030360 1214891840 1328787950 1518614800 1700848576 2126060720 2657575900 3037229600 4252121440 5315151800 6074459200 8504242880 10630303600 21260607200 42521214400