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14263981340 = 22572194091873
BaseRepresentation
bin11010100100011001…
…10001010100011100
31100211002012022220012
431102030301110130
5213203034400330
610315222342352
71013321561300
oct152214612434
940732168805
1014263981340
11605a711334
122920b8a9b8
13146420835b
14994591d00
155873c9c95
hex35233151c

14263981340 has 144 divisors (see below), whose sum is σ = 36788119200. Its totient is φ = 4619317248.

The previous prime is 14263981339. The next prime is 14263981343. The reversal of 14263981340 is 4318936241.

It is a super-2 number, since 2×142639813402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14263981343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7614644 + ... + 7616516.

It is an arithmetic number, because the mean of its divisors is an integer number (255473050).

Almost surely, 214263981340 is an apocalyptic number.

14263981340 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 14263981340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18394059600).

14263981340 is an abundant number, since it is smaller than the sum of its proper divisors (22524137860).

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

14263981340 is a wasteful number, since it uses less digits than its factorization.

14263981340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 14263981340 in words is "fourteen billion, two hundred sixty-three million, nine hundred eighty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 409 490 532 665 818 931 980 1330 1636 1862 1873 2045 2660 2863 3724 3746 4090 4655 5726 7492 7771 8180 9310 9365 11452 13111 14315 15542 18620 18730 20041 26222 28630 31084 35587 37460 38855 40082 52444 54397 57260 65555 71174 77710 80164 91777 100205 108794 131110 142348 155420 177935 183554 200410 217588 249109 262220 271985 355870 367108 380779 400820 458885 498218 543970 711740 761558 766057 917770 996436 1087940 1245545 1523116 1532114 1743763 1835540 1903895 2491090 3064228 3487526 3807790 3830285 4982180 5362399 6975052 7615580 7660570 8718815 10724798 14555083 15321140 17437630 21449596 26811995 29110166 34875260 37536793 53623990 58220332 72775415 75073586 101885581 107247980 145550830 150147172 187683965 203771162 291101660 375367930 407542324 509427905 713199067 750735860 1018855810 1426398134 2037711620 2852796268 3565995335 7131990670 14263981340