Search a number
-
+
13999918728528 = 243332407219279
BaseRepresentation
bin1100101110111001110000…
…1011101100010101010000
31211120101020101222221021000
43023232130023230111100
53313333313143303103
645435250205102000
72643314015510355
oct313563413542520
954511211887230
1013999918728528
114508372166187
1216a1340557900
137a7257169c15
1436585775462c
15194283be7aa3
hexcbb9c2ec550

13999918728528 has 40 divisors (see below), whose sum is σ = 40184951907200. Its totient is φ = 4666639576032.

The previous prime is 13999918728511. The next prime is 13999918728541. The reversal of 13999918728528 is 82582781999931.

13999918728528 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 9 + 9 + 1 + 87 + 2 + 8 + 528 = 666.

13999918728528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139999187285282 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16203609208 + ... + 16203610071.

It is an arithmetic number, because the mean of its divisors is an integer number (1004623797680).

Almost surely, 213999918728528 is an apocalyptic number.

13999918728528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13999918728528 is an abundant number, since it is smaller than the sum of its proper divisors (26185033178672).

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

13999918728528 is a wasteful number, since it uses less digits than its factorization.

13999918728528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32407219296 (or 32407219284 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 81.

The spelling of 13999918728528 in words is "thirteen trillion, nine hundred ninety-nine billion, nine hundred eighteen million, seven hundred twenty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 32407219279 64814438558 97221657837 129628877116 194443315674 259257754232 291664973511 388886631348 518515508464 583329947022 777773262696 874994920533 1166659894044 1555546525392 1749989841066 2333319788088 3499979682132 4666639576176 6999959364264 13999918728528