Search a number
-
+
14734723370640 = 24357131813727441
BaseRepresentation
bin1101011001101011000111…
…1100111100111010010000
31221011121220012120100021220
43112122301330330322100
53412403203140330030
651201012150445040
73050356116065610
oct326326174747220
957147805510256
1014734723370640
114770a63233609
12179b831063780
1382b62b20a440
1438d243230a40
151a843d5e1a10
hexd66b1f3ce90

14734723370640 has 320 divisors, whose sum is σ = 56529252229632. Its totient is φ = 3091687833600.

The previous prime is 14734723370623. The next prime is 14734723370687. The reversal of 14734723370640 is 4607332743741.

It is a happy number.

It is a super-2 number, since 2×147347233706402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2089320 + ... + 5816760.

Almost surely, 214734723370640 is an apocalyptic number.

14734723370640 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 14734723370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264626114816).

14734723370640 is an abundant number, since it is smaller than the sum of its proper divisors (41794528858992).

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

14734723370640 is a wasteful number, since it uses less digits than its factorization.

14734723370640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727658 (or 3727652 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 51.

The spelling of 14734723370640 in words is "fourteen trillion, seven hundred thirty-four billion, seven hundred twenty-three million, three hundred seventy thousand, six hundred forty".