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12414034143645 = 3547101347569883
BaseRepresentation
bin1011010010100101111000…
…0110000110100110011101
31121221202210101100211122020
42310221132012012212131
53111342420220044040
642222532322410353
72420612224116141
oct264513606064635
947852711324566
1012414034143645
113a56842706022
121485b0ab009b9
136c083b732b24
1430cbb19c5221
15167db6943cd0
hexb4a5e18699d

12414034143645 has 128 divisors (see below), whose sum is σ = 20604354600960. Its totient is φ = 6378827212800.

The previous prime is 12414034143631. The next prime is 12414034143647. The reversal of 12414034143645 is 54634143041421.

12414034143645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12414034143645 - 25 = 12414034143613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12414034143597 and 12414034143606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414034143647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14058928374 + ... + 14058929256.

It is an arithmetic number, because the mean of its divisors is an integer number (160971520320).

Almost surely, 212414034143645 is an apocalyptic number.

12414034143645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12414034143645 is a deficient number, since it is larger than the sum of its proper divisors (8190320457315).

12414034143645 is a wasteful number, since it uses less digits than its factorization.

12414034143645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955.

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 12414034143645 in words is "twelve trillion, four hundred fourteen billion, thirty-four million, one hundred forty-three thousand, six hundred forty-five".

Divisors: 1 3 5 15 47 101 141 235 303 347 505 569 705 883 1041 1515 1707 1735 2649 2845 4415 4747 5205 8535 13245 14241 16309 23735 26743 35047 41501 48927 57469 71205 80229 81545 89183 105141 124503 133715 172407 175235 197443 207505 244635 267549 287345 306401 401145 445915 502427 525705 592329 622515 862035 919203 987215 1337745 1507281 1532005 1647209 2512135 2701043 2961645 4191601 4596015 4941627 7536405 8103129 8236045 9279821 12574803 13505215 14400847 19941743 20958005 23614069 24708135 27839463 30946501 40515645 43202541 46399105 50745127 59825229 62874015 70842207 72004235 92839503 99708715 118070345 139197315 152235381 154732505 174342169 216012705 253725635 299126145 354211035 464197515 523026507 761176905 871710845 937261921 1454485547 2385020969 2615132535 2811785763 4363456641 4686309605 7155062907 7272427735 8194081943 11925104845 14058928815 17608559069 21817283205 24582245829 35775314535 40970409715 52825677207 88042795345 122911229145 264128386035 827602276243 2482806828729 4138011381215 12414034143645