Search a number
-
+
14497218064992 = 2531341283325869
BaseRepresentation
bin1101001011110110010110…
…0010000111001001100000
31220022220212001102201121010
43102331211202013021200
53400010300311034432
650455532515500520
73024250402231305
oct322754542071140
956286761381533
1014497218064992
11468a265724143
1217617a8bb7740
1381210a92b220
143819520110ac
151a218c6b43cc
hexd2f65887260

14497218064992 has 96 divisors (see below), whose sum is σ = 41982094113120. Its totient is φ = 4351885332480.

The previous prime is 14497218064991. The next prime is 14497218064997. The reversal of 14497218064992 is 29946081279441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14497218064991) 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, 141611767 + ... + 141714102.

It is an arithmetic number, because the mean of its divisors is an integer number (437313480345).

Almost surely, 214497218064992 is an apocalyptic number.

14497218064992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14497218064992 is an abundant number, since it is smaller than the sum of its proper divisors (27484876048128).

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

14497218064992 is a wasteful number, since it uses less digits than its factorization.

14497218064992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283325936 (or 283325928 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 14497218064992 in words is "fourteen trillion, four hundred ninety-seven billion, two hundred eighteen million, sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 78 82 96 104 123 156 164 208 246 312 328 416 492 533 624 656 984 1066 1248 1312 1599 1968 2132 3198 3936 4264 6396 8528 12792 17056 25584 51168 283325869 566651738 849977607 1133303476 1699955214 2266606952 3399910428 3683236297 4533213904 6799820856 7366472594 9066427808 11049708891 11616360629 13599641712 14732945188 22099417782 23232721258 27199283424 29465890376 34849081887 44198835564 46465442516 58931780752 69698163774 88397671128 92930885032 117863561504 139396327548 151012688177 176795342256 185861770064 278792655096 302025376354 353590684512 371723540128 453038064531 557585310192 604050752708 906076129062 1115170620384 1208101505416 1812152258124 2416203010832 3624304516248 4832406021664 7248609032496 14497218064992