Search a number
-
+
514034034426 = 232113194188997
BaseRepresentation
bin1110111101011101101…
…00001110011011111010
31211010210220201112021100
413132232310032123322
531410220203100201
61032051033152230
752065146125533
oct7365664163372
91733726645240
10514034034426
111890008a2260
1283758b5b676
133961c815063
141ac4503968a
15d587c3a886
hex77aed0e6fa

514034034426 has 96 divisors (see below), whose sum is σ = 1255529673216. Its totient is φ = 150581232000.

The previous prime is 514034034413. The next prime is 514034034529. The reversal of 514034034426 is 624430430415.

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, 5731360 + ... + 5820356.

It is an arithmetic number, because the mean of its divisors is an integer number (13078434096).

Almost surely, 2514034034426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514034034426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627764836608).

514034034426 is an abundant number, since it is smaller than the sum of its proper divisors (741495638790).

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

514034034426 is a wasteful number, since it uses less digits than its factorization.

514034034426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89988 (or 89985 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 514034034426 in words is "five hundred fourteen billion, thirty-four million, thirty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 941 1023 1882 2046 2823 3069 5646 6138 8469 10351 16938 20702 29171 31053 58342 62106 87513 88997 93159 175026 177994 186318 262539 266991 320881 525078 533982 641762 800973 962643 978967 1601946 1925286 1957934 2758907 2887929 2936901 5517814 5775858 5873802 8276721 8810703 16553442 17621406 24830163 30347977 49660326 60695954 83746177 91043931 167492354 182087862 251238531 273131793 502477062 546263586 753715593 921207947 1507431186 1842415894 2596131487 2763623841 5192262974 5527247682 7788394461 8290871523 15576788922 16581743046 23365183383 28557446357 46730366766 57114892714 85672339071 171344678142 257017017213 514034034426