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40428685200 = 2435233690571
BaseRepresentation
bin100101101001101111…
…001100011110010000
310212100112201000001010
4211221233030132100
51130244220411300
630323411010520
72630601103611
oct455157143620
9125315630033
1040428685200
1116166a36632
127a03599a40
133a73b28547
141d574bbc08
1510b9464a50
hex969bcc790

40428685200 has 60 divisors (see below), whose sum is σ = 129506558768. Its totient is φ = 10780982400.

The previous prime is 40428685189. The next prime is 40428685217. The reversal of 40428685200 is 258682404.

40428685200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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, 16844086 + ... + 16846485.

Almost surely, 240428685200 is an apocalyptic number.

40428685200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40428685200 is an abundant number, since it is smaller than the sum of its proper divisors (89077873568).

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

40428685200 is a wasteful number, since it uses less digits than its factorization.

40428685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33690592 (or 33690581 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 40428685200 in words is "forty billion, four hundred twenty-eight million, six hundred eighty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 33690571 67381142 101071713 134762284 168452855 202143426 269524568 336905710 404286852 505358565 539049136 673811420 808573704 842264275 1010717130 1347622840 1617147408 1684528550 2021434260 2526792825 2695245680 3369057100 4042868520 5053585650 6738114200 8085737040 10107171300 13476228400 20214342600 40428685200