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244152330312 = 2331119407911933
BaseRepresentation
bin1110001101100010011…
…1001110100001001000
3212100012101200110100110
43203120213032201020
513000010444032222
6304054555434320
723432215365042
oct3433047164110
9770171613313
10244152330312
11945a9697490
123b39a1559a0
131a03c729907
14bb61d36a92
15653e77130c
hex38d89ce848

244152330312 has 128 divisors (see below), whose sum is σ = 701146368000. Its totient is φ = 70068522240.

The previous prime is 244152330271. The next prime is 244152330319. The reversal of 244152330312 is 213033251442.

It is a super-2 number, since 2×2441523303122 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 244152330312.

It is not an unprimeable number, because it can be changed into a prime (244152330319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20454298 + ... + 20466230.

It is an arithmetic number, because the mean of its divisors is an integer number (5477706000).

Almost surely, 2244152330312 is an apocalyptic number.

244152330312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244152330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350573184000).

244152330312 is an abundant number, since it is smaller than the sum of its proper divisors (456994037688).

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

244152330312 is a wasteful number, since it uses less digits than its factorization.

244152330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16051 (or 16047 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 244152330312 its reverse (213033251442), we get a palindrome (457185581754).

The spelling of 244152330312 in words is "two hundred forty-four billion, one hundred fifty-two million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 4079 5016 8158 11933 12237 16316 23866 24474 32632 35799 44869 47732 48948 71598 77501 89738 95464 97896 131263 134607 143196 155002 179476 226727 232503 262526 269214 286392 310004 358952 393789 453454 465006 525052 538428 620008 680181 787578 852511 906908 930012 1050104 1076856 1360362 1575156 1705022 1813816 1860024 2493997 2557533 2720724 3150312 3410044 4987994 5115066 5441448 6820088 7481991 9975988 10230132 14963982 19951976 20460264 29927964 48674707 59855928 97349414 146024121 194698828 292048242 389397656 535421777 584096484 924819433 1070843554 1168192968 1606265331 1849638866 2141687108 2774458299 3212530662 3699277732 4283374216 5548916598 6425061324 7398555464 10173013763 11097833196 12850122648 20346027526 22195666392 30519041289 40692055052 61038082578 81384110104 122076165156 244152330312