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524234242432425 = 352727313714263451
BaseRepresentation
bin111011100110010011100101…
…1110011001001110110101001
32112202011022012201012100002210
41313030213023303021312221
51022203023212030314200
65054541515234115333
7215264450142015300
oct16714471363116651
92482138181170083
10524234242432425
111420455481049a8
124a96813711bb49
131966910006bb45
149365103763437
154091807e9e650
hex1dcc9cbcc9da9

524234242432425 has 144 divisors (see below), whose sum is σ = 1029513372052032. Its totient is φ = 234641740032000.

The previous prime is 524234242432421. The next prime is 524234242432427.

524234242432425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524234242432425 - 22 = 524234242432421 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (524234242432421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29621950 + ... + 43885400.

It is an arithmetic number, because the mean of its divisors is an integer number (7149398417028).

Almost surely, 2524234242432425 is an apocalyptic number.

It is an amenable number.

524234242432425 is a deficient number, since it is larger than the sum of its proper divisors (505279129619607).

524234242432425 is a wasteful number, since it uses less digits than its factorization.

524234242432425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14263688 (or 14263676 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 48.

The spelling of 524234242432425 in words is "five hundred twenty-four trillion, two hundred thirty-four billion, two hundred forty-two million, four hundred thirty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 73 75 105 137 147 175 219 245 365 411 511 525 685 735 959 1095 1225 1533 1825 2055 2555 2877 3425 3577 3675 4795 5475 6713 7665 10001 10275 10731 12775 14385 17885 20139 23975 30003 33565 38325 50005 53655 70007 71925 89425 100695 150015 167825 210021 250025 268275 350035 490049 503475 750075 1050105 1470147 1750175 2450245 5250525 7350735 12251225 14263451 36753675 42790353 71317255 99844157 213951765 299532471 356586275 499220785 698909099 1041231923 1069758825 1497662355 1954092787 2096727297 2496103925 3123695769 3494545495 5206159615 5862278361 7288623461 7488311775 9770463935 10483636485 13678649509 15618478845 17472727475 21865870383 26030798075 29311391805 36443117305 41035948527 48852319675 51020364227 52418182425 68393247545 78092394225 95750546563 109329351915 142648773451 146556959025 153061092681 182215586525 205179742635 255101821135 287251639689 341966237725 427946320353 478752732815 546646759575 713243867255 765305463405 998541414157 1025898713175 1275509105675 1436258198445 2139731601765 2393763664075 2995624242471 3566219336275 3826527317025 4992707070785 6989789899099 7181290992225 10698658008825 14978121212355 20969369697297 24963535353925 34948949495495 74890606061775 104846848486485 174744747477475 524234242432425