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312031240444 = 2271122927715971
BaseRepresentation
bin1001000101001101000…
…00101110000011111100
31002211101222211100221001
410202212200232003330
520103014444143234
6355202320220044
731354265532160
oct4424640560374
91084358740831
10312031240444
11110371556320
125058276a624
13235695b0bb1
1411160d72ca0
1581b3a50d14
hex48a682e0fc

312031240444 has 96 divisors (see below), whose sum is σ = 686279784960. Its totient is φ = 120595219200.

The previous prime is 312031240441. The next prime is 312031240447. The reversal of 312031240444 is 444042130213.

It is an interprime number because it is at equal distance from previous prime (312031240441) and next prime (312031240447).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312031240441) 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, 19529379 + ... + 19545349.

It is an arithmetic number, because the mean of its divisors is an integer number (7148747760).

Almost surely, 2312031240444 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 312031240444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343139892480).

312031240444 is an abundant number, since it is smaller than the sum of its proper divisors (374248544516).

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

312031240444 is a wasteful number, since it uses less digits than its factorization.

312031240444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499 (or 16497 counting only the distinct ones).

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

Adding to 312031240444 its reverse (444042130213), we get a palindrome (756073370657).

The spelling of 312031240444 in words is "three hundred twelve billion, thirty-one million, two hundred forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 229 277 308 458 554 916 1108 1603 1939 2519 3047 3206 3878 5038 6094 6412 7756 10076 12188 15971 17633 21329 31942 35266 42658 63433 63884 70532 85316 111797 126866 175681 223594 253732 351362 444031 447188 697763 702724 888062 1229767 1395526 1776124 2459534 2791052 3657359 4423967 4884341 4919068 7314718 8847934 9768682 14629436 17695868 19537364 25601513 30967769 40230949 48663637 51203026 61935538 80461898 97327274 102406052 123871076 160923796 194654548 281616643 340645459 563233286 681290918 1013088443 1126466572 1362581836 2026176886 4052353772 7091619101 11143972873 14183238202 22287945746 28366476404 44575891492 78007810111 156015620222 312031240444