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14020385418 = 23413171920611
BaseRepresentation
bin11010000111010111…
…00001101010001010
31100012002211101010000
431003223201222022
5212203204313133
610235121303430
71004303211144
oct150353415212
940162741100
1014020385418
115a45162096
122873494b76
1314258c8860
149700a1c94
15570d0d413
hex343ae1a8a

14020385418 has 160 divisors (see below), whose sum is σ = 37710066240. Its totient is φ = 3846320640.

The previous prime is 14020385413. The next prime is 14020385429. The reversal of 14020385418 is 81458302041.

14020385418 is a `hidden beast` number, since 140 + 20 + 3 + 85 + 418 = 666.

It is not an unprimeable number, because it can be changed into a prime (14020385411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 669933 + ... + 690543.

It is an arithmetic number, because the mean of its divisors is an integer number (235687914).

Almost surely, 214020385418 is an apocalyptic number.

14020385418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020385418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18855033120).

14020385418 is an abundant number, since it is smaller than the sum of its proper divisors (23689680822).

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

14020385418 is a wasteful number, since it uses less digits than its factorization.

14020385418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20674 (or 20665 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 14020385418 its reverse (81458302041), we get a palindrome (95478687459).

The spelling of 14020385418 in words is "fourteen billion, twenty million, three hundred eighty-five thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 19 26 27 34 38 39 51 54 57 78 81 102 114 117 153 162 171 221 234 247 306 323 342 351 442 459 494 513 646 663 702 741 918 969 1026 1053 1326 1377 1482 1539 1938 1989 2106 2223 2754 2907 3078 3978 4199 4446 5814 5967 6669 8398 8721 11934 12597 13338 17442 17901 20007 20611 25194 26163 35802 37791 40014 41222 52326 61833 75582 113373 123666 185499 226746 267943 340119 350387 370998 391609 535886 556497 680238 700774 783218 803829 1051161 1112994 1174827 1607658 1669491 2102322 2349654 2411487 3153483 3338982 3524481 4555031 4822974 5090917 6306966 6657353 7048962 7234461 9110062 9460449 10181834 10573443 13314706 13665093 14468922 15272751 18920898 19972059 21146886 21703383 27330186 28381347 30545502 31720329 39944118 40995279 43406766 45818253 56762694 59916177 63440658 81990558 86545589 91636506 119832354 122985837 137454759 173091178 179748531 245971674 259636767 274909518 359497062 368957511 412364277 519273534 539245593 737915022 778910301 824728554 1078491186 1557820602 2336730903 4673461806 7010192709 14020385418