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13523554223214 = 237532137836699
BaseRepresentation
bin1100010011001011001010…
…1001010100010001101110
31202212211122202010202102120
43010302302221110101232
53233032214340120324
644432345100333410
72564021165151540
oct304626251242156
952784582122376
1013523554223214
114344341889772
121624b56b44266
1377135b953b79
1434a7875a5690
15186ba30a4179
hexc4cb2a5446e

13523554223214 has 96 divisors (see below), whose sum is σ = 31735214380800. Its totient is φ = 3763293570816.

The previous prime is 13523554223143. The next prime is 13523554223279. The reversal of 13523554223214 is 41232245532531.

It is a super-3 number, since 3×135235542232143 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15744637 + ... + 16581335.

It is an arithmetic number, because the mean of its divisors is an integer number (330575149800).

Almost surely, 213523554223214 is an apocalyptic number.

13523554223214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13523554223214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15867607190400).

13523554223214 is an abundant number, since it is smaller than the sum of its proper divisors (18211660157586).

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

13523554223214 is a wasteful number, since it uses less digits than its factorization.

13523554223214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836954 (or 836901 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

Adding to 13523554223214 its reverse (41232245532531), we get a palindrome (54755799755745).

The spelling of 13523554223214 in words is "thirteen trillion, five hundred twenty-three billion, five hundred fifty-four million, two hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 53 106 137 159 274 318 371 411 742 822 959 1113 1918 2226 2809 2877 5618 5754 7261 8427 14522 16854 19663 21783 39326 43566 50827 58989 101654 117978 152481 304962 384833 769666 836699 1154499 1673398 2308998 2510097 2693831 5020194 5387662 5856893 8081493 11713786 16162986 17570679 35141358 44345047 88690094 114627763 133035141 229255526 266070282 310415329 343883289 620830658 687766578 802394341 931245987 1604788682 1862491974 2350287491 2407183023 4700574982 4814366046 6075271439 7050862473 12150542878 14101724946 16452012437 18225814317 32904024874 36451628634 42526900073 49356037311 85053800146 98712074622 127580700219 255161400438 321989386267 643978772534 965968158801 1931936317602 2253925703869 4507851407738 6761777111607 13523554223214