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2524353105040 = 2451317142780153
BaseRepresentation
bin100100101110111111001…
…010111000110010010000
322221022210111201110221221
4210232333022320302100
5312324333343330130
65211401035454424
7350243552233564
oct44567712706220
98838714643857
102524353105040
11893632577578
123492a08b7414
13154078bb0a70
148a2721876a4
15459e6b0087a
hex24bbf2b8c90

2524353105040 has 80 divisors (see below), whose sum is σ = 6692391378288. Its totient is φ = 877241253888.

The previous prime is 2524353104993. The next prime is 2524353105047. The reversal of 2524353105040 is 405013534252.

2524353105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1122518016 + 2523230587024 = 33504^2 + 1588468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 2524353104987 and 2524353105005.

It is not an unprimeable number, because it can be changed into a prime (2524353105047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71372397 + ... + 71407756.

Almost surely, 22524353105040 is an apocalyptic number.

2524353105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2524353105040 is an abundant number, since it is smaller than the sum of its proper divisors (4168038273248).

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

2524353105040 is a wasteful number, since it uses less digits than its factorization.

2524353105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142780196 (or 142780190 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 2524353105040 its reverse (405013534252), we get a palindrome (2929366639292).

The spelling of 2524353105040 in words is "two trillion, five hundred twenty-four billion, three hundred fifty-three million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 142780153 285560306 571120612 713900765 1142241224 1427801530 1856141989 2284482448 2427262601 2855603060 3712283978 4854525202 5711206120 7424567956 9280709945 9709050404 11422412240 12136313005 14849135912 18561419890 19418100808 24272626010 29698271824 31554413813 37122839780 38836201616 48545252020 63108827626 74245679560 97090504040 126217655252 148491359120 157772069065 194181008080 252435310504 315544138130 504870621008 631088276260 1262176552520 2524353105040