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313224013144 = 23719319496241
BaseRepresentation
bin1001000111011011001…
…10110010010101011000
31002221111010020111110201
410203231212302111120
520112440321410034
6355520525351544
731425661116460
oct4435546622530
91087433214421
10313224013144
11110923876089
12508561085b4
13236c9744863
1411235540ba0
158233610014
hex48ed9b2558

313224013144 has 64 divisors (see below), whose sum is σ = 729311385600. Its totient is φ = 123071270400.

The previous prime is 313224013121. The next prime is 313224013159. The reversal of 313224013144 is 441310422313.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 4715137 + ... + 4781104.

It is an arithmetic number, because the mean of its divisors is an integer number (11395490400).

Almost surely, 2313224013144 is an apocalyptic number.

It is an amenable number.

313224013144 is an abundant number, since it is smaller than the sum of its proper divisors (416087372456).

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

313224013144 is a wasteful number, since it uses less digits than its factorization.

313224013144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496304 (or 9496300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 313224013144 its reverse (441310422313), we get a palindrome (754534435457).

The spelling of 313224013144 in words is "three hundred thirteen billion, two hundred twenty-four million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1736 2356 4123 4712 8246 16492 32984 9496241 18992482 37984964 66473687 75969928 132947374 180428579 265894748 294383471 360857158 531789496 588766942 721714316 1177533884 1263000053 1443428632 2060684297 2355067768 2526000106 4121368594 5052000212 5593285949 8242737188 10104000424 11186571898 16485474376 22373143796 39153001643 44746287592 78306003286 156612006572 313224013144