Search a number
-
+
14330435442552 = 2332418954544759
BaseRepresentation
bin1101000010001001000010…
…0000111001011101111000
31212201222100200111122202200
43100202100200321131320
53334242212433130202
650251151113230200
73006224356310535
oct320422040713570
955658320448680
1014330435442552
11462555a239399
121735401a02360
137cc47b418558
1437784d7a7d8c
1519cb7a54ae1c
hexd0890839778

14330435442552 has 96 divisors (see below), whose sum is σ = 40204942596000. Its totient is φ = 4607941155840.

The previous prime is 14330435442551. The next prime is 14330435442559. The reversal of 14330435442552 is 25524453403341.

14330435442552 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 0 + 4 + 3 + 54 + 42 + 552 = 666.

It is a super-2 number, since 2×143304354425522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14330435442498 and 14330435442507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14330435442551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27009652 + ... + 27535107.

It is an arithmetic number, because the mean of its divisors is an integer number (418801485375).

Almost surely, 214330435442552 is an apocalyptic number.

14330435442552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14330435442552 is an abundant number, since it is smaller than the sum of its proper divisors (25874507153448).

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

14330435442552 is a wasteful number, since it uses less digits than its factorization.

14330435442552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54544901 (or 54544894 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

Adding to 14330435442552 its reverse (25524453403341), we get a palindrome (39854888845893).

The spelling of 14330435442552 in words is "fourteen trillion, three hundred thirty billion, four hundred thirty-five million, four hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 89 123 164 178 246 267 328 356 369 492 534 712 738 801 984 1068 1476 1602 2136 2952 3204 3649 6408 7298 10947 14596 21894 29192 32841 43788 65682 87576 131364 262728 54544759 109089518 163634277 218179036 327268554 436358072 490902831 654537108 981805662 1309074216 1963611324 2236335119 3927222648 4472670238 4854483551 6709005357 8945340476 9708967102 13418010714 14563450653 17890680952 19417934204 20127016071 26836021428 29126901306 38835868408 40254032142 43690351959 53672042856 58253802612 80508064284 87380703918 116507605224 161016128568 174761407836 199033825591 349522815672 398067651182 597101476773 796135302364 1194202953546 1592270604728 1791304430319 2388405907092 3582608860638 4776811814184 7165217721276 14330435442552