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45413570241 = 341344996053
BaseRepresentation
bin101010010010110111…
…000001011011000001
311100012221122101210000
4222102313001123001
51221001333221431
632510202230213
73165250656264
oct522267013301
9140187571700
1045413570241
111829485a536
128974ab5369
1343897c4370
1422ab566cdb
1512abdd29e6
hexa92dc16c1

45413570241 has 40 divisors (see below), whose sum is σ = 73221964200. Its totient is φ = 27884279808.

The previous prime is 45413570221. The next prime is 45413570269. The reversal of 45413570241 is 14207531454.

45413570241 is a `hidden beast` number, since 4 + 5 + 41 + 3 + 570 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1590334641 + 43823235600 = 39879^2 + 209340^2 .

It is not a de Polignac number, because 45413570241 - 218 = 45413308097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45413570196 and 45413570205.

It is not an unprimeable number, because it can be changed into a prime (45413570221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424771 + ... + 520823.

It is an arithmetic number, because the mean of its divisors is an integer number (1830549105).

Almost surely, 245413570241 is an apocalyptic number.

It is an amenable number.

45413570241 is a deficient number, since it is larger than the sum of its proper divisors (27808393959).

45413570241 is a wasteful number, since it uses less digits than its factorization.

45413570241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96527 (or 96518 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 45413570241 in words is "forty-five billion, four hundred thirteen million, five hundred seventy thousand, two hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 449 1053 1347 4041 5837 12123 17511 36369 52533 96053 157599 288159 472797 864477 1248689 2593431 3746067 7780293 11238201 33714603 43127797 101143809 129383391 388150173 560661361 1164450519 1681984083 3493351557 5045952249 15137856747 45413570241