Search a number
-
+
311216847312 = 243716714473833
BaseRepresentation
bin1001000011101011111…
…10000011100111010000
31002202022020101220120110
410201311332003213100
520044333003103222
6354545425041320
731325146361160
oct4416576034720
91082266356513
10311216847312
1110aa93884748
1250395a86240
132346995b977
14110c4b3c5a0
1581672d430c
hex4875f839d0

311216847312 has 160 divisors (see below), whose sum is σ = 925212782592. Its totient is φ = 88302523392.

The previous prime is 311216847287. The next prime is 311216847377. The reversal of 311216847312 is 213748612113.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 81192148 + ... + 81195980.

Almost surely, 2311216847312 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 311216847312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462606391296).

311216847312 is an abundant number, since it is smaller than the sum of its proper divisors (613995935280).

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

311216847312 is a wasteful number, since it uses less digits than its factorization.

311216847312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5459 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The spelling of 311216847312 in words is "three hundred eleven billion, two hundred sixteen million, eight hundred forty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 1447 2004 2338 2672 2894 3507 3833 4008 4341 4676 5788 7014 7666 8016 8682 9352 10129 11499 11576 14028 15332 17364 18704 20258 22998 23152 26831 28056 30387 30664 34728 40516 45996 53662 56112 60774 61328 69456 80493 81032 91992 107324 121548 160986 162064 183984 214648 241649 243096 321972 429296 483298 486192 640111 643944 724947 966596 1280222 1287888 1449894 1691543 1920333 1933192 2560444 2899788 3383086 3840666 3866384 4480777 5074629 5120888 5546351 5799576 6766172 7681332 8961554 10149258 10241776 11092702 11599152 13442331 13532344 15362664 16639053 17923108 20298516 22185404 26884662 27064688 30725328 33278106 35846216 38824457 40597032 44370808 53769324 66556212 71692432 77648914 81194064 88741616 107538648 116473371 133112424 155297828 215077296 232946742 266224848 310595656 465893484 621191312 926240617 931786968 1852481234 1863573936 2778721851 3704962468 5557443702 6483684319 7409924936 11114887404 12967368638 14819849872 19451052957 22229774808 25934737276 38902105914 44459549616 51869474552 77804211828 103738949104 155608423656 311216847312