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14012035344 = 2433237917851
BaseRepresentation
bin11010000110010111…
…01011000100010000
31100011112010010222000
431003023223010100
5212144040112334
610234222314000
71004142222666
oct150313530420
940145103860
1014012035344
115a404795aa
122870728900
131423c63c98
1496cd2ac36
1557020e299
hex3432eb110

14012035344 has 160 divisors (see below), whose sum is σ = 42502041600. Its totient is φ = 4410806400.

The previous prime is 14012035343. The next prime is 14012035397. The reversal of 14012035344 is 44353021041.

It is a happy number.

14012035344 is a `hidden beast` number, since 1 + 4 + 0 + 120 + 3 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14012035343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776019 + ... + 793869.

It is an arithmetic number, because the mean of its divisors is an integer number (265637760).

Almost surely, 214012035344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14012035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251020800).

14012035344 is an abundant number, since it is smaller than the sum of its proper divisors (28490006256).

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

14012035344 is a wasteful number, since it uses less digits than its factorization.

14012035344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17970 (or 17958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14012035344 its reverse (44353021041), we get a palindrome (58365056385).

The spelling of 14012035344 in words is "fourteen billion, twelve million, thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 79 92 108 138 144 158 184 207 216 237 276 316 368 414 432 474 552 621 632 711 828 948 1104 1242 1264 1422 1656 1817 1896 2133 2484 2844 3312 3634 3792 4266 4968 5451 5688 7268 8532 9936 10902 11376 14536 16353 17064 17851 21804 29072 32706 34128 35702 43608 49059 53553 65412 71404 87216 98118 107106 130824 142808 160659 196236 214212 261648 285616 321318 392472 410573 428424 481977 642636 784944 821146 856848 963954 1231719 1285272 1410229 1642292 1927908 2463438 2570544 2820458 3284584 3695157 3855816 4230687 4926876 5640916 6569168 7390314 7711632 8461374 9853752 11085471 11281832 12692061 14780628 16922748 19707504 22170942 22563664 25384122 29561256 32435267 33845496 38076183 44341884 50768244 59122512 64870534 67690992 76152366 88683768 97305801 101536488 129741068 152304732 177367536 194611602 203072976 259482136 291917403 304609464 389223204 518964272 583834806 609218928 778446408 875752209 1167669612 1556892816 1751504418 2335339224 3503008836 4670678448 7006017672 14012035344