Search a number
-
+
4323414323120 = 2453711839123373
BaseRepresentation
bin111110111010011111100…
…100110010111110110000
3120022022111011210120201212
4332322133210302332300
51031313323031314440
613110052113215252
7624233144253254
oct76723744627660
916268434716655
104323414323120
111417605746432
12599aa6861528
132549087a12b9
1410d37bdc2264
15776de01b465
hex3ee9f932fb0

4323414323120 has 80 divisors (see below), whose sum is σ = 10324567994880. Its totient is φ = 1682470351872.

The previous prime is 4323414323119. The next prime is 4323414323161. The reversal of 4323414323120 is 213234143234.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×43234143231202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34981754 + ... + 35105126.

It is an arithmetic number, because the mean of its divisors is an integer number (129057099936).

Almost surely, 24323414323120 is an apocalyptic number.

4323414323120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4323414323120 is an abundant number, since it is smaller than the sum of its proper divisors (6001153671760).

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

4323414323120 is a wasteful number, since it uses less digits than its factorization.

4323414323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135262 (or 135256 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 4323414323120 its reverse (213234143234), we get a palindrome (4536648466354).

The spelling of 4323414323120 in words is "four trillion, three hundred twenty-three billion, four hundred fourteen million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 11839 23678 47356 59195 94712 118390 123373 189424 236780 246746 438043 473560 493492 616865 876086 947120 986984 1233730 1752172 1973968 2190215 2467460 3504344 4380430 4564801 4934920 7008688 8760860 9129602 9869840 17521720 18259204 22824005 35043440 36518408 45648010 73036816 91296020 182592040 365184080 1460612947 2921225894 5842451788 7303064735 11684903576 14606129470 23369807152 29212258940 54042679039 58424517880 108085358078 116849035760 216170716156 270213395195 432341432312 540426790390 864682864624 1080853580780 2161707161560 4323414323120