Search a number
-
+
42015455154 = 23217377152267
BaseRepresentation
bin100111001000010100…
…001111011110110010
311000110010111021012200
4213020110033132302
51142021424031104
631145053004030
73015116322231
oct471024173662
9130403437180
1042015455154
11169006a1362
128186a83616
133c677ab48a
14206812ab18
15115d8edb39
hex9c850f7b2

42015455154 has 96 divisors (see below), whose sum is σ = 100389684096. Its totient is φ = 12644190720.

The previous prime is 42015455129. The next prime is 42015455177. The reversal of 42015455154 is 45155451024.

42015455154 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 54 + 551 + 54 = 666.

42015455154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 777729 + ... + 829995.

It is an arithmetic number, because the mean of its divisors is an integer number (1045725876).

Almost surely, 242015455154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42015455154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50194842048).

42015455154 is an abundant number, since it is smaller than the sum of its proper divisors (58374228942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42015455154 is a wasteful number, since it uses less digits than its factorization.

42015455154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52400 (or 52397 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 42015455154 in words is "forty-two billion, fifteen million, four hundred fifty-five thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 37 51 71 74 102 111 142 153 213 222 306 333 426 629 639 666 1207 1258 1278 1887 2414 2627 3621 3774 5254 5661 7242 7881 10863 11322 15762 21726 23643 44659 47286 52267 89318 104534 133977 156801 267954 313602 401931 470403 803862 888539 940806 1777078 1933879 2665617 3710957 3867758 5331234 5801637 7421914 7996851 11132871 11603274 15993702 17404911 22265742 32875943 33398613 34809822 63086269 65751886 66797226 98627829 126172538 137305409 189258807 197255658 274610818 295883487 378517614 411916227 567776421 591766974 823832454 1135552842 1235748681 2334191953 2471497362 4668383906 7002575859 14005151718 21007727577 42015455154