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2431443030432 = 253132620374353
BaseRepresentation
bin100011011000011101010…
…011000101000110100000
322121102222110000122221120
4203120131103011012200
5304314043403433212
65100553422252240
7340444265516523
oct43303523050640
98542873018846
102431443030432
11858195226349
12333291427080
13148390201260
148597a9b0bba
15433aa04488c
hex2361d4c51a0

2431443030432 has 96 divisors (see below), whose sum is σ = 6873857178048. Its totient is φ = 748097703936.

The previous prime is 2431443030347. The next prime is 2431443030449. The reversal of 2431443030432 is 2340303441342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2431443030393 and 2431443030402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32664168 + ... + 32738520.

It is an arithmetic number, because the mean of its divisors is an integer number (71602678938).

Almost surely, 22431443030432 is an apocalyptic number.

It is an amenable number.

2431443030432 is an abundant number, since it is smaller than the sum of its proper divisors (4442414147616).

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

2431443030432 is a wasteful number, since it uses less digits than its factorization.

2431443030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100582 (or 100574 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2431443030432 its reverse (2340303441342), we get a palindrome (4771746471774).

The spelling of 2431443030432 in words is "two trillion, four hundred thirty-one billion, four hundred forty-three million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 26203 52406 74353 78609 104812 148706 157218 209624 223059 297412 314436 340639 419248 446118 594824 628872 681278 838496 892236 966589 1021917 1189648 1257744 1362556 1784472 1933178 2043834 2379296 2515488 2725112 2899767 3568944 3866356 4087668 5450224 5799534 7137888 7732712 8175336 10900448 11599068 15465424 16350672 23198136 30930848 32701344 46396272 92792544 1948271659 3896543318 5844814977 7793086636 11689629954 15586173272 23379259908 25327531567 31172346544 46758519816 50655063134 62344693088 75982594701 93517039632 101310126268 151965189402 187034079264 202620252536 303930378804 405240505072 607860757608 810481010144 1215721515216 2431443030432