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42210440300 = 22527103585443
BaseRepresentation
bin100111010011111100…
…000011010001101100
311000221201101112112202
4213103330003101230
51142421333042200
631220300121032
73023004552110
oct472374032154
9130851345482
1042210440300
11169a0769606
128220236178
133c98ccacc2
142085da5740
151170ab71d5
hex9d3f0346c

42210440300 has 72 divisors (see below), whose sum is σ = 105698401536. Its totient is φ = 14331620160.

The previous prime is 42210440263. The next prime is 42210440303. The reversal of 42210440300 is 304401224.

42210440300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42210440303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220622 + ... + 364821.

Almost surely, 242210440300 is an apocalyptic number.

It is an amenable number.

42210440300 is an abundant number, since it is smaller than the sum of its proper divisors (63487961236).

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

42210440300 is a wasteful number, since it uses less digits than its factorization.

42210440300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585567 (or 585560 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42210440300 its reverse (304401224), we get a palindrome (42514841524).

The spelling of 42210440300 in words is "forty-two billion, two hundred ten million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 350 412 515 700 721 1030 1442 2060 2575 2884 3605 5150 7210 10300 14420 18025 36050 72100 585443 1170886 2341772 2927215 4098101 5854430 8196202 11708860 14636075 16392404 20490505 29272150 40981010 58544300 60300629 81962020 102452525 120601258 204905050 241202516 301503145 409810100 422104403 603006290 844208806 1206012580 1507515725 1688417612 2110522015 3015031450 4221044030 6030062900 8442088060 10552610075 21105220150 42210440300