Search a number
-
+
14355051351220 = 2253123519848281
BaseRepresentation
bin1101000011100100101110…
…1111001000110010110100
31212211022220012200101022201
43100321023233020302310
53340143121121214340
650310341453434244
73011055361136236
oct320711357106264
955738805611281
1014355051351220
114634a41285968
12173a13179b984
138018a21c0598
14378b06b2c256
1519d61b64d79a
hexd0e4bbc8cb4

14355051351220 has 48 divisors (see below), whose sum is σ = 31131286050816. Its totient is φ = 5554429920000.

The previous prime is 14355051351209. The next prime is 14355051351227. The reversal of 14355051351220 is 2215315055341.

14355051351220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14355051351220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14355051351227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466521 + ... + 6381760.

It is an arithmetic number, because the mean of its divisors is an integer number (648568459392).

Almost surely, 214355051351220 is an apocalyptic number.

14355051351220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14355051351220 is an abundant number, since it is smaller than the sum of its proper divisors (16776234699596).

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

14355051351220 is a wasteful number, since it uses less digits than its factorization.

14355051351220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850672 (or 9850670 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 14355051351220 in words is "fourteen trillion, three hundred fifty-five billion, fifty-one million, three hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 2351 4702 9404 11755 23510 47020 72881 145762 291524 364405 728810 1457620 9848281 19696562 39393124 49241405 98482810 196965620 305296711 610593422 1221186844 1526483555 3052967110 6105934220 23153308631 46306617262 92613234524 115766543155 231533086310 463066172620 717752567561 1435505135122 2871010270244 3588762837805 7177525675610 14355051351220