Search a number
-
+
10131355150144 = 26232681680341
BaseRepresentation
bin1001001101101110001111…
…0100110010011101000000
31022212112210120010020222021
42103123203310302131000
52311443003404301034
633314140313451224
72063652265606564
oct223334364623500
938775716106867
1010131355150144
113256757949548
121177636410b14
135864c8a07637
142705085936a4
15128816c3c6b4
hex936e3d32740

10131355150144 has 28 divisors (see below), whose sum is σ = 20104523829988. Its totient is φ = 5065648358400.

The previous prime is 10131355150141. The next prime is 10131355150153. The reversal of 10131355150144 is 44105155313101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6724229844544 + 3407125305600 = 2593112^2 + 1845840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131355150141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14551414 + ... + 15231754.

Almost surely, 210131355150144 is an apocalyptic number.

It is an amenable number.

10131355150144 is a deficient number, since it is larger than the sum of its proper divisors (9973168679844).

10131355150144 is an equidigital number, since it uses as much as digits as its factorization.

10131355150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913034 (or 913024 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 34.

The spelling of 10131355150144 in words is "ten trillion, one hundred thirty-one billion, three hundred fifty-five million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 232681 465362 680341 930724 1360682 1861448 2721364 3722896 5442728 7445792 10885456 14891584 21770912 43541824 158302424221 316604848442 633209696884 1266419393768 2532838787536 5065677575072 10131355150144