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2311431440232 = 23319103199247301
BaseRepresentation
bin100001101000101100000…
…011001100011101101000
322011222012122001012200110
4201220230003030131220
5300332302422041412
64525505033334320
7325665266032455
oct41505403143550
98158178035613
102311431440232
118112aa875352
12313b798673a0
13139c757b95a5
147dc33ccc82c
15401d404ed3c
hex21a2c0cc768

2311431440232 has 128 divisors (see below), whose sum is σ = 6172657920000. Its totient is φ = 719203795200.

The previous prime is 2311431440183. The next prime is 2311431440237. The reversal of 2311431440232 is 2320441341132.

It is a self number, because there is not a number n which added to its sum of digits gives 2311431440232.

It is not an unprimeable number, because it can be changed into a prime (2311431440237) 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, 9222982 + ... + 9470282.

It is an arithmetic number, because the mean of its divisors is an integer number (48223890000).

Almost surely, 22311431440232 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 2311431440232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086328960000).

2311431440232 is an abundant number, since it is smaller than the sum of its proper divisors (3861226479768).

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

2311431440232 is a wasteful number, since it uses less digits than its factorization.

2311431440232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247631 (or 247627 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2311431440232 its reverse (2320441341132), we get a palindrome (4631872781364).

The spelling of 2311431440232 in words is "two trillion, three hundred eleven billion, four hundred thirty-one million, four hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 103 114 152 199 206 228 309 398 412 456 597 618 796 824 1194 1236 1592 1957 2388 2472 3781 3914 4776 5871 7562 7828 11343 11742 15124 15656 20497 22686 23484 30248 40994 45372 46968 61491 81988 90744 122982 163976 245964 247301 389443 491928 494602 741903 778886 989204 1168329 1483806 1557772 1978408 2336658 2967612 3115544 4673316 4698719 5935224 9346632 9397438 14096157 18794876 25472003 28192314 37589752 49212899 50944006 56384628 76416009 98425798 101888012 112769256 147638697 152832018 196851596 203776024 295277394 305664036 393703192 483968057 590554788 611328072 935045081 967936114 1181109576 1451904171 1870090162 1935872228 2805135243 2903808342 3740180324 3871744456 5068928597 5610270486 5807616684 7480360648 10137857194 11220540972 11615233368 15206785791 20275714388 22441081944 30413571582 40551428776 60827143164 96309643343 121654286328 192619286686 288928930029 385238573372 577857860058 770477146744 1155715720116 2311431440232