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14032141420240 = 245192829158603
BaseRepresentation
bin1100110000110001110011…
…0011100000011011010000
31211200110102001200021110101
43030030130303200123100
53314400311200421430
645502135441142144
72645534355045106
oct314143463403320
954613361607411
1014032141420240
11451aaa8018409
1216a763392a954
137aa2c0b79cc8
14367233065c76
1519501ca21dca
hexcc31cce06d0

14032141420240 has 120 divisors (see below), whose sum is σ = 34436933582688. Its totient is φ = 5316710987520.

The previous prime is 14032141420237. The next prime is 14032141420261. The reversal of 14032141420240 is 4202414123041.

It is a junction number, because it is equal to n+sod(n) for n = 14032141420199 and 14032141420208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239414779 + ... + 239473381.

Almost surely, 214032141420240 is an apocalyptic number.

14032141420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14032141420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218466791344).

14032141420240 is an abundant number, since it is smaller than the sum of its proper divisors (20404792162448).

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

14032141420240 is a wasteful number, since it uses less digits than its factorization.

14032141420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66945 (or 66920 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14032141420240 its reverse (4202414123041), we get a palindrome (18234555543281).

The spelling of 14032141420240 in words is "fourteen trillion, thirty-two billion, one hundred forty-one million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 361 380 722 760 1444 1520 1805 2888 3610 5776 7220 8291 14440 16582 28880 33164 41455 58603 66328 82910 117206 132656 157529 165820 234412 293015 315058 331640 468824 586030 630116 663280 787645 937648 1113457 1172060 1260232 1575290 2226914 2344120 2520464 2993051 3150580 4453828 4688240 5567285 5986102 6301160 8907656 11134570 11972204 12602320 14965255 17815312 21155683 22269140 23944408 29930510 42311366 44538280 47888816 59861020 84622732 89076560 105778415 119722040 169245464 211556830 239444080 338490928 423113660 485877473 846227320 971754946 1692454640 1943509892 2429387365 3887019784 4858774730 7774039568 9231671987 9717549460 18463343974 19435098920 36926687948 38870197840 46158359935 73853375896 92316719870 147706751792 175401767753 184633439740 350803535506 369266879480 701607071012 738533758960 877008838765 1403214142024 1754017677530 2806428284048 3508035355060 7016070710120 14032141420240