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10310140144 = 2417103379971
BaseRepresentation
bin10011001101000100…
…00100000011110000
3222121112100101102101
421212202010003300
5132103343441034
64423022030144
7513331513423
oct114642040360
928545311371
1010310140144
114410894987
121bb8a18354
13c84028855
146db4159ba
15405221514
hex2668840f0

10310140144 has 80 divisors (see below), whose sum is σ = 21434699520. Its totient is φ = 4787112960.

The previous prime is 10310140133. The next prime is 10310140171. The reversal of 10310140144 is 44104101301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10617579 + ... + 10618549.

It is an arithmetic number, because the mean of its divisors is an integer number (267933744).

Almost surely, 210310140144 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 10310140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717349760).

10310140144 is an abundant number, since it is smaller than the sum of its proper divisors (11124559376).

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

10310140144 is a wasteful number, since it uses less digits than its factorization.

10310140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10310140144 its reverse (44104101301), we get a palindrome (54414241445).

The spelling of 10310140144 in words is "ten billion, three hundred ten million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 103 136 206 272 379 412 758 824 971 1516 1648 1751 1942 3032 3502 3884 6064 6443 7004 7768 12886 14008 15536 16507 25772 28016 33014 39037 51544 66028 78074 100013 103088 132056 156148 200026 264112 312296 368009 400052 624592 663629 736018 800104 1327258 1472036 1600208 1700221 2654516 2944072 3400442 5309032 5888144 6256153 6800884 10618064 12512306 13601768 25024612 27203536 37904927 50049224 75809854 100098448 151619708 303239416 606478832 644383759 1288767518 2577535036 5155070072 10310140144