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10313344240 = 2452923319079
BaseRepresentation
bin10011001101011100…
…10010010011110000
3222121202101011121121
421212232102103300
5132110204003430
64423214432024
7513400660003
oct114656222360
928552334547
1010313344240
1144126831a1
121bb9b02614
13c848ab074
146dba0b53a
15405655a7a
hex266b924f0

10313344240 has 80 divisors (see below), whose sum is σ = 24913137600. Its totient is φ = 3965782016.

The previous prime is 10313344177. The next prime is 10313344241. The reversal of 10313344240 is 4244331301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313344241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531021 + ... + 550099.

It is an arithmetic number, because the mean of its divisors is an integer number (311414220).

Almost surely, 210313344240 is an apocalyptic number.

10313344240 is a gapful number since it is divisible by the number (10) 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 10313344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12456568800).

10313344240 is an abundant number, since it is smaller than the sum of its proper divisors (14599793360).

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

10313344240 is a wasteful number, since it uses less digits than its factorization.

10313344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10313344240 its reverse (4244331301), we get a palindrome (14557675541).

The spelling of 10313344240 in words is "ten billion, three hundred thirteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 233 290 464 466 580 932 1160 1165 1864 2320 2330 3728 4660 6757 9320 13514 18640 19079 27028 33785 38158 54056 67570 76316 95395 108112 135140 152632 190790 270280 305264 381580 540560 553291 763160 1106582 1526320 2213164 2766455 4426328 4445407 5532910 8852656 8890814 11065820 17781628 22131640 22227035 35563256 44263280 44454070 71126512 88908140 128916803 177816280 257833606 355632560 515667212 644584015 1031334424 1289168030 2062668848 2578336060 5156672120 10313344240