Search a number
-
+
14323680400 = 245273490537
BaseRepresentation
bin11010101011100001…
…00000010010010000
31100222020112100121111
431111300200102100
5213313330233100
610325154103104
71014645163111
oct152560402220
940866470544
1014323680400
1160903870a7
122938b7aa94
1314736ab343
1499c492208
1558c76d6ba
hex355c20490

14323680400 has 60 divisors (see below), whose sum is σ = 34884119332. Its totient is φ = 5650974720.

The previous prime is 14323680383. The next prime is 14323680409. The reversal of 14323680400 is 408632341.

It can be written as a sum of positive squares in 6 ways, for example, as 693584896 + 13630095504 = 26336^2 + 116748^2 .

It is not an unprimeable number, because it can be changed into a prime (14323680409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216069 + ... + 274468.

Almost surely, 214323680400 is an apocalyptic number.

14323680400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14323680400 is an abundant number, since it is smaller than the sum of its proper divisors (20560438932).

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

14323680400 is a wasteful number, since it uses less digits than its factorization.

14323680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490628 (or 490617 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 14323680400 in words is "fourteen billion, three hundred twenty-three million, six hundred eighty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 490537 981074 1962148 2452685 3924296 4905370 7848592 9810740 12263425 19621480 24526850 35809201 39242960 49053700 71618402 98107400 143236804 179046005 196214800 286473608 358092010 572947216 716184020 895230025 1432368040 1790460050 2864736080 3580920100 7161840200 14323680400