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434232232040 = 23537373939383
BaseRepresentation
bin1100101000110100100…
…00100000100001101000
31112111211101112221021202
412110122100200201220
524103301422411130
6531252235423332
743241452033535
oct6243220404150
91474741487252
10434232232040
1115817a857a62
12701a75b4b48
1331c42786049
1417034733d8c
15b466d6c145
hex651a420868

434232232040 has 64 divisors (see below), whose sum is σ = 980992425600. Its totient is φ = 172988428032.

The previous prime is 434232231977. The next prime is 434232232061. The reversal of 434232232040 is 40232232434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434232231994 and 434232232012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11006189 + ... + 11045571.

It is an arithmetic number, because the mean of its divisors is an integer number (15328006650).

Almost surely, 2434232232040 is an apocalyptic number.

434232232040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434232232040 is an abundant number, since it is smaller than the sum of its proper divisors (546760193560).

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

434232232040 is a wasteful number, since it uses less digits than its factorization.

434232232040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40506 (or 40502 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 434232232040 its reverse (40232232434), we get a palindrome (474464464474).

The spelling of 434232232040 in words is "four hundred thirty-four billion, two hundred thirty-two million, two hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 373 739 746 1478 1492 1865 2956 2984 3695 3730 5912 7390 7460 14780 14920 29560 39383 78766 157532 196915 275647 315064 393830 551294 787660 1102588 1378235 1575320 2205176 2756470 5512940 11025880 14689859 29104037 29379718 58208074 58759436 73449295 116416148 117518872 145520185 146898590 232832296 291040370 293797180 582080740 587594360 1164161480 10855805801 21711611602 43423223204 54279029005 86846446408 108558058010 217116116020 434232232040