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40344534400 = 275212607667
BaseRepresentation
bin100101100100101110…
…001011110110000000
310212010200100200211211
4211210232023312000
51130111200100100
630311203215504
72625526612162
oct454456136600
9125120320754
1040344534400
111612348a915
12799b377594
133a5c573a81
141d4a254932
1510b1d911ba
hex964b8bd80

40344534400 has 48 divisors (see below), whose sum is σ = 99663615540. Its totient is φ = 16137812480.

The previous prime is 40344534371. The next prime is 40344534407. The reversal of 40344534400 is 443544304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40344534407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6300634 + ... + 6307033.

Almost surely, 240344534400 is an apocalyptic number.

40344534400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40344534400 is an abundant number, since it is smaller than the sum of its proper divisors (59319081140).

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

40344534400 is a wasteful number, since it uses less digits than its factorization.

40344534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12607691 (or 12607674 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

The spelling of 40344534400 in words is "forty billion, three hundred forty-four million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 12607667 25215334 50430668 63038335 100861336 126076670 201722672 252153340 315191675 403445344 504306680 630383350 806890688 1008613360 1260766700 1613781376 2017226720 2521533400 4034453440 5043066800 8068906880 10086133600 20172267200 40344534400