Search a number
-
+
312000412223440 = 24543294293081919
BaseRepresentation
bin100011011110000110100000…
…1101111011000011111010000
31111220200221121011200210220101
41012330031001233120133100
5311343303321012122230
63023323002145422144
7122501200032364153
oct10674150157303720
91456627534623811
10312000412223440
119045a6a4958956
122abab92a93a954
13105126883258a5
145708c8707bc9a
152610ca7a59aca
hex11bc341bd87d0

312000412223440 has 80 divisors (see below), whose sum is σ = 742296211430400. Its totient is φ = 121893653822976.

The previous prime is 312000412223417. The next prime is 312000412223509. The reversal of 312000412223440 is 44322214000213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312000412223399 and 312000412223408.

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, 99694801 + ... + 102776719.

It is an arithmetic number, because the mean of its divisors is an integer number (9278702642880).

Almost surely, 2312000412223440 is an apocalyptic number.

It is an amenable number.

312000412223440 is an abundant number, since it is smaller than the sum of its proper divisors (430295799206960).

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

312000412223440 is a wasteful number, since it uses less digits than its factorization.

312000412223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111404 (or 3111398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 312000412223440 its reverse (44322214000213), we get a palindrome (356322626223653).

The spelling of 312000412223440 in words is "three hundred twelve trillion, four hundred twelve million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 29429 58858 117716 147145 235432 294290 470864 588580 1177160 1265447 2354320 2530894 3081919 5061788 6163838 6327235 10123576 12327676 12654470 15409595 20247152 24655352 25308940 30819190 49310704 50617880 61638380 101235760 123276760 132522517 246553520 265045034 530090068 662612585 1060180136 1325225170 2120360272 2650450340 5300900680 10601801360 90697794251 181395588502 362791177004 453488971255 725582354008 906977942510 1451164708016 1813955885020 3627911770040 3900005152793 7255823540080 7800010305586 15600020611172 19500025763965 31200041222344 39000051527930 62400082444688 78000103055860 156000206111720 312000412223440