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312043224432 = 243417111319763
BaseRepresentation
bin1001000101001110011…
…10011011110101110000
31002211102211101012212110
410202213032123311300
520103031031140212
6355203425125320
731354502434002
oct4424716336560
91084384335773
10312043224432
111103782a1045
1250586789840
132356bc18804
14111627b2372
1581b4b1ba3c
hex48a739bd70

312043224432 has 160 divisors (see below), whose sum is σ = 844856925696. Its totient is φ = 99157811200.

The previous prime is 312043224431. The next prime is 312043224433. The reversal of 312043224432 is 234422340213.

312043224432 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312043224431) and next prime (312043224433).

It is a self number, because there is not a number n which added to its sum of digits gives 312043224432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312043224431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15779383 + ... + 15799145.

Almost surely, 2312043224432 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 312043224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422428462848).

312043224432 is an abundant number, since it is smaller than the sum of its proper divisors (532813701264).

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

312043224432 is a wasteful number, since it uses less digits than its factorization.

312043224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19999 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312043224432 its reverse (234422340213), we get a palindrome (546465564645).

The spelling of 312043224432 in words is "three hundred twelve billion, forty-three million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 113 123 142 164 213 226 246 284 328 339 426 452 492 568 656 678 852 904 984 1136 1356 1704 1808 1968 2712 2911 3408 4633 5424 5822 8023 8733 9266 11644 13899 16046 17466 18532 19763 23288 24069 27798 32092 34932 37064 39526 46576 48138 55596 59289 64184 69864 74128 79052 96276 111192 118578 128368 139728 158104 192552 222384 237156 316208 328943 385104 474312 657886 810283 948624 986829 1315772 1403173 1620566 1973658 2233219 2430849 2631544 2806346 3241132 3947316 4209519 4466438 4861698 5263088 5612692 6482264 6699657 7894632 8419038 8932876 9723396 11225384 12964528 13399314 15789264 16838076 17865752 19446792 22450768 26798628 33676152 35731504 38893584 53597256 57530093 67352304 91561979 107194512 115060186 158558549 172590279 183123958 230120372 274685937 317117098 345180558 366247916 460240744 475675647 549371874 634234196 690361116 732495832 920481488 951351294 1098743748 1268468392 1380722232 1464991664 1902702588 2197487496 2536936784 2761444464 3805405176 4394974992 6500900509 7610810352 13001801018 19502701527 26003602036 39005403054 52007204072 78010806108 104014408144 156021612216 312043224432