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312422213240 = 23579210112391
BaseRepresentation
bin1001000101111011101…
…00001010011001111000
31002212102020111211202222
410202331310022121320
520104320041310430
6355305204143212
731400053665434
oct4427564123170
91085366454688
10312422213240
11110552215a35
1250671697b08
13235cc5b1647
141119ac679c4
1581d802e9e5
hex48bdd0a678

312422213240 has 96 divisors (see below), whose sum is σ = 719067857760. Its totient is φ = 122155488000.

The previous prime is 312422213209. The next prime is 312422213249. The reversal of 312422213240 is 42312224213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312422213249) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25207445 + ... + 25219835.

It is an arithmetic number, because the mean of its divisors is an integer number (7490290185).

Almost surely, 2312422213240 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 312422213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359533928880).

312422213240 is an abundant number, since it is smaller than the sum of its proper divisors (406645644520).

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

312422213240 is a wasteful number, since it uses less digits than its factorization.

312422213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12661 (or 12578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 312422213240 its reverse (42312224213), we get a palindrome (354734437453).

The spelling of 312422213240 in words is "three hundred twelve billion, four hundred twenty-two million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 79 101 158 202 316 395 404 505 632 790 808 1010 1580 2020 3160 4040 6241 7979 12391 12482 15958 24782 24964 31205 31916 39895 49564 49928 61955 62410 63832 79790 99128 123910 124820 159580 247820 249640 319160 495640 630341 978889 1251491 1260682 1957778 2502982 2521364 3151705 3915556 4894445 5005964 5042728 6257455 6303410 7831112 9788890 10011928 12514910 12606820 19577780 25029820 25213640 39155560 50059640 77332231 98867789 154664462 197735578 309328924 386661155 395471156 494338945 618657848 773322310 790942312 988677890 1546644620 1977355780 3093289240 3954711560 7810555331 15621110662 31242221324 39052776655 62484442648 78105553310 156211106620 312422213240