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32023103140 = 2257475982487
BaseRepresentation
bin11101110100101110…
…011100011010100100
310001122202010012011001
4131310232130122210
51011040403300030
622413342123044
72212363612510
oct356456343244
9101582105131
1032023103140
11126432303a6
126258580484
13303456b152
14179add9140
15c76551cca
hex774b9c6a4

32023103140 has 96 divisors (see below), whose sum is σ = 79821987840. Its totient is φ = 10563487104.

The previous prime is 32023103107. The next prime is 32023103141. The reversal of 32023103140 is 4130132023.

It is a super-3 number, since 3×320231031403 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (32023103141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346977 + ... + 429463.

It is an arithmetic number, because the mean of its divisors is an integer number (831479040).

Almost surely, 232023103140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32023103140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39910993920).

32023103140 is an abundant number, since it is smaller than the sum of its proper divisors (47798884700).

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

32023103140 is a wasteful number, since it uses less digits than its factorization.

32023103140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82609 (or 82607 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 32023103140 its reverse (4130132023), we get a palindrome (36153235163).

The spelling of 32023103140 in words is "thirty-two billion, twenty-three million, one hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 59 70 94 118 140 188 235 236 295 329 413 470 590 658 826 940 1180 1316 1645 1652 2065 2773 3290 4130 5546 6580 8260 11092 13865 19411 27730 38822 55460 77644 82487 97055 164974 194110 329948 388220 412435 577409 824870 1154818 1649740 2309636 2887045 3876889 4866733 5774090 7753778 9733466 11548180 15507556 19384445 19466932 24333665 27138223 34067131 38768890 48667330 54276446 68134262 77537780 97334660 108552892 135691115 136268524 170335655 228736451 271382230 340671310 457472902 542764460 681342620 914945804 1143682255 1601155157 2287364510 3202310314 4574729020 6404620628 8005775785 16011551570 32023103140