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4012123324144 = 2413231931434311
BaseRepresentation
bin111010011000100101001…
…011110111111011110000
3112012112222202212101012111
4322120211023313323300
51011213312032333034
612311051034535104
7562603104364345
oct72304513677360
915175882771174
104012123324144
111307594025521
125496abb97494
1323145967c210
14dc28b4a07cc
156e57048b364
hex3a6252f7ef0

4012123324144 has 80 divisors (see below), whose sum is σ = 8739969606144. Its totient is φ = 1770317049600.

The previous prime is 4012123324043. The next prime is 4012123324151. The reversal of 4012123324144 is 4414233212104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9020749 + ... + 9455059.

Almost surely, 24012123324144 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 4012123324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369984803072).

4012123324144 is an abundant number, since it is smaller than the sum of its proper divisors (4727846282000).

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

4012123324144 is a wasteful number, since it uses less digits than its factorization.

4012123324144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436286 (or 436280 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 4012123324144 its reverse (4414233212104), we get a palindrome (8426356536248).

The spelling of 4012123324144 in words is "four trillion, twelve billion, one hundred twenty-three million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 1931 2392 3862 4784 7724 15448 25103 30896 44413 50206 88826 100412 177652 200824 355304 401648 434311 577369 710608 868622 1154738 1737244 2309476 3474488 4618952 5646043 6948976 9237904 9989153 11292086 19978306 22584172 39956612 45168344 79913224 90336688 129858989 159826448 259717978 519435956 838654541 1038871912 1677309082 2077743824 3354618164 6709236328 10902509033 13418472656 19289054443 21805018066 38578108886 43610036132 77156217772 87220072264 154312435544 174440144528 250757707759 308624871088 501515415518 1003030831036 2006061662072 4012123324144