Search a number
-
+
402172857241 = 47210321312
BaseRepresentation
bin1011101101000110101…
…11101100101110011001
31102110002010011221202221
411312203113230232121
523042122222412431
6504431120024041
741025134611531
oct5664327545631
91373063157687
10402172857241
11145619103191
1265b3aa62021
132bc0385839c
14156729b64c1
15a6dc553111
hex5da35ecb99

402172857241 has 27 divisors (see below), whose sum is σ = 418131614613. Its totient is φ = 386818943160.

The previous prime is 402172857227. The next prime is 402172857259. The reversal of 402172857241 is 142758271204.

The square root of 402172857241 is 634171.

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

It is not a de Polignac number, because 402172857241 - 25 = 402172857209 is a prime.

It is a super-2 number, since 2×4021728572412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (402172857221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3070021746 + ... + 3070021876.

Almost surely, 2402172857241 is an apocalyptic number.

402172857241 is the 634171-st square number.

402172857241 is the 317086-th centered octagonal number.

It is an amenable number.

402172857241 is a deficient number, since it is larger than the sum of its proper divisors (15958757372).

402172857241 is an frugal number, since it uses more digits than its factorization.

402172857241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 43.

The spelling of 402172857241 in words is "four hundred two billion, one hundred seventy-two million, eight hundred fifty-seven thousand, two hundred forty-one".

Divisors: 1 47 103 131 2209 4841 6157 10609 13493 17161 227527 289379 498623 634171 806567 1389779 1767583 23435281 29806037 37908649 65319613 83076401 182061049 3070021811 3904590847 8556869303 402172857241