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14335442535132 = 22331724441103421
BaseRepresentation
bin1101000010011011101011…
…1101011100001011011100
31212202110021122020022112000
43100212322331130023130
53334332441242111012
650253340020442300
73006462426015225
oct320467275341334
955673248208460
1014335442535132
114627699650134
12173637a849390
137cca9888b524
14377ba679424c
1519cd6ee03ddc
hexd09baf5c2dc

14335442535132 has 144 divisors (see below), whose sum is σ = 39490069043040. Its totient is φ = 4496337561600.

The previous prime is 14335442535131. The next prime is 14335442535133. The reversal of 14335442535132 is 23153524453341.

14335442535132 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 544 + 2 + 53 + 51 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (14335442535131) and next prime (14335442535133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14335442535131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138560782 + ... + 138664202.

Almost surely, 214335442535132 is an apocalyptic number.

14335442535132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14335442535132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745034521520).

14335442535132 is an abundant number, since it is smaller than the sum of its proper divisors (25154626507908).

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

14335442535132 is a wasteful number, since it uses less digits than its factorization.

14335442535132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107909 (or 107884 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Adding to 14335442535132 its reverse (23153524453341), we get a palindrome (37488966988473).

The spelling of 14335442535132 in words is "fourteen trillion, three hundred thirty-five billion, four hundred forty-two million, five hundred thirty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1734 1836 2601 3468 4441 5202 7803 8882 10404 13323 15606 17764 26646 31212 39969 53292 75497 79938 103421 119907 150994 159876 206842 226491 239814 301988 310263 413684 452982 479628 620526 679473 905964 930789 1241052 1283449 1358946 1758157 1861578 2038419 2566898 2717892 2792367 3516314 3723156 3850347 4076838 5133796 5274471 5584734 7032628 7700694 8153676 10548942 11169468 11551041 15401388 15823413 21097884 23102082 29888669 31646826 34653123 46204164 47470239 59777338 63293652 69306246 89666007 94940478 119554676 138612492 179332014 189880956 268998021 358664028 459292661 537996042 806994063 918585322 1075992084 1377877983 1613988126 1837170644 2755755966 3227976252 4133633949 5511511932 7807975237 8267267898 12400901847 15615950474 16534535796 23423925711 24801803694 31231900948 46847851422 49603607388 70271777133 93695702844 132735579029 140543554266 210815331399 265471158058 281087108532 398206737087 421630662798 530942316116 796413474174 843261325596 1194620211261 1592826948348 2389240422522 3583860633783 4778480845044 7167721267566 14335442535132