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40937428900 = 2252202332
BaseRepresentation
bin100110001000000011…
…111001011110100100
310220122222222212012101
4212020003321132210
51132314440211100
630450103101444
72646316255444
oct461003713644
9126588885171
1040937428900
11163a8125275
127b25a41884
133b25352414
141da4cac124
1510e8e5886a
hex9880f97a4

40937428900 has 27 divisors (see below), whose sum is σ = 88838611491. Its totient is φ = 16374162240.

The previous prime is 40937428871. The next prime is 40937428943. The reversal of 40937428900 is 982473904.

It is a happy number.

The square root of 40937428900 is 202330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 587868516 + 40349560384 = 24246^2 + 200872^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2013184 + ... + 2033416.

Almost surely, 240937428900 is an apocalyptic number.

40937428900 is the 202330-th square number.

It is an amenable number.

40937428900 is an abundant number, since it is smaller than the sum of its proper divisors (47901182591).

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

40937428900 is an frugal number, since it uses more digits than its factorization.

40937428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40480 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 40937428900 in words is "forty billion, nine hundred thirty-seven million, four hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20233 40466 80932 101165 202330 404660 505825 1011650 2023300 409374289 818748578 1637497156 2046871445 4093742890 8187485780 10234357225 20468714450 40937428900