Search a number
-
+
280233655641 = 3413124492
BaseRepresentation
bin1000001001111110011…
…10100011110101011001
3222210022222001200210000
410010333032203311121
514042404303440031
6332423151443213
726150310525252
oct4047716436531
9883288050700
10280233655641
11a8934658215
1246389826509
132056c993164
14d7c5cbdb29
1574521e93e6
hex413f3a3d59

280233655641 has 45 divisors (see below), whose sum is σ = 422782221103. Its totient is φ = 184983402240.

The previous prime is 280233655631. The next prime is 280233655657. The reversal of 280233655641 is 146556332082.

The square root of 280233655641 is 529371.

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

280233655641 is a `hidden beast` number, since 2 + 8 + 0 + 23 + 3 + 65 + 564 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 171254441241 + 108979214400 = 413829^2 + 330120^2 .

It is not a de Polignac number, because 280233655641 - 29 = 280233655129 is a prime.

It is a super-2 number, since 2×2802336556412 (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 (280233655601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 624128185 + ... + 624128633.

Almost surely, 2280233655641 is an apocalyptic number.

280233655641 is the 529371-st square number.

280233655641 is the 264686-th centered octagonal number.

It is an amenable number.

280233655641 is a deficient number, since it is larger than the sum of its proper divisors (142548565462).

280233655641 is an frugal number, since it uses more digits than its factorization.

280233655641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 280233655641 in words is "two hundred eighty billion, two hundred thirty-three million, six hundred fifty-five thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 131 393 449 1179 1347 3537 4041 10611 12123 17161 36369 51483 58819 154449 176457 201601 463347 529371 604803 1390041 1588113 1814409 4764339 5443227 7705289 16329681 23115867 26409731 69347601 79229193 208042803 237687579 624128409 713062737 2139188211 3459674761 10379024283 31137072849 93411218547 280233655641