Search a number
-
+
10314695722500 = 223854132612
BaseRepresentation
bin1001011000011001001111…
…0001100100011000000100
31100112002000212202100000000
42112012103301210120010
52322443444101110000
633534301130321300
72113132530012651
oct226062361443004
940462025670000
1010314695722500
11331748a917124
1211a7082889230
1359a896768400
1427933bccac28
1512d497860000
hex96193c64604

10314695722500 has 1215 divisors, whose sum is σ = 37245665339883. Its totient is φ = 2497379040000.

The previous prime is 10314695722493. The next prime is 10314695722501. The reversal of 10314695722500 is 522759641301.

The square root of 10314695722500 is 3211650.

It is a perfect power (a square), and thus also a powerful number.

10314695722500 is a `hidden beast` number, since 1 + 0 + 3 + 14 + 69 + 5 + 72 + 2 + 500 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 856561356036 + 9458134366464 = 925506^2 + 3075408^2 .

It is a tau number, because it is divible by the number of its divisors (1215).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10314695722501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 169093372470 + ... + 169093372530.

Almost surely, 210314695722500 is an apocalyptic number.

10314695722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10314695722500 is the 3211650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314695722500

10314695722500 is an abundant number, since it is smaller than the sum of its proper divisors (26930969617383).

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

10314695722500 is an frugal number, since it uses more digits than its factorization.

10314695722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10314695722500 in words is "ten trillion, three hundred fourteen billion, six hundred ninety-five million, seven hundred twenty-two thousand, five hundred".