Search a number
-
+
42045078759 = 31773113139719
BaseRepresentation
bin100111001010000101…
…001111110011100111
311000112012020022011020
4213022011033303213
51142102020010014
631152031542223
73015626162355
oct471205176347
9130465208136
1042045078759
1116916394a82
12819498a973
133c70981038
14206c03c7d5
1511613011a9
hex9ca14fce7

42045078759 has 64 divisors (see below), whose sum is σ = 61225113600. Its totient is φ = 25568428032.

The previous prime is 42045078743. The next prime is 42045078781. The reversal of 42045078759 is 95787054024.

It is a happy number.

It is not a de Polignac number, because 42045078759 - 24 = 42045078743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045078709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58476802 + ... + 58477520.

It is an arithmetic number, because the mean of its divisors is an integer number (956642400).

Almost surely, 242045078759 is an apocalyptic number.

42045078759 is a deficient number, since it is larger than the sum of its proper divisors (19180034841).

42045078759 is a wasteful number, since it uses less digits than its factorization.

42045078759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064.

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 42045078759 in words is "forty-two billion, forty-five million, seventy-eight thousand, seven hundred fifty-nine".

Divisors: 1 3 17 51 73 113 139 219 339 417 719 1241 1921 2157 2363 3723 5763 7089 8249 10147 12223 15707 24747 30441 36669 47121 52487 81247 99941 140233 157461 172499 243741 267019 299823 420699 517497 801057 892279 1146611 1381199 1698997 2676837 3439833 4143597 5096991 5931031 7295693 11293333 17793093 19492387 21887079 33879999 58477161 100827527 124026781 191986661 302482581 372080343 575959983 824413309 2473239927 14015026253 42045078759