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402680354041 = 7226923372
BaseRepresentation
bin1011101110000011001…
…11101001010011111001
31102111101111010110111201
411313001213221103321
523044142132312131
6504553325254201
741043536351200
oct5670147512371
91374344113451
10402680354041
11145859620029
1266060a04361
132bc84a36854
14156c0160237
15a71bd9c761
hex5dc19e94f9

402680354041 has 27 divisors (see below), whose sum is σ = 471571221069. Its totient is φ = 342851096448.

The previous prime is 402680353993. The next prime is 402680354047. The reversal of 402680354041 is 140453086204.

The square root of 402680354041 is 634571.

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 193278933225 + 209401420816 = 439635^2 + 457604^2 .

It is not a de Polignac number, because 402680354041 - 27 = 402680353913 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402680354047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1194897025 + ... + 1194897361.

Almost surely, 2402680354041 is an apocalyptic number.

402680354041 is the 634571-st square number.

402680354041 is the 317286-th centered octagonal number.

It is an amenable number.

402680354041 is a deficient number, since it is larger than the sum of its proper divisors (68890867028).

402680354041 is an frugal number, since it uses more digits than its factorization.

402680354041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 402680354041 in words is "four hundred two billion, six hundred eighty million, three hundred fifty-four thousand, forty-one".

Divisors: 1 7 49 269 337 1883 2359 13181 16513 72361 90653 113569 506527 634571 794983 3545689 4441997 5564881 24385657 30550061 170699599 213850427 1194897193 1496952989 8217966409 57525764863 402680354041