Search a number
-
+
14032127680 = 265316123189
BaseRepresentation
bin11010001000110000…
…10100011011000000
31100012220220221110121
431010120110123000
5212214211041210
610240221110024
71004505055144
oct150430243300
940186827417
1014032127680
115a5085223a
1228773b8314
13142817a43c
1497187b224
15571d7c6da
hex3446146c0

14032127680 has 112 divisors (see below), whose sum is σ = 35058827520. Its totient is φ = 5342515200.

The previous prime is 14032127677. The next prime is 14032127689. The reversal of 14032127680 is 8672123041.

It is not an unprimeable number, because it can be changed into a prime (14032127689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593526 + ... + 616714.

Almost surely, 214032127680 is an apocalyptic number.

14032127680 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 14032127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17529413760).

14032127680 is an abundant number, since it is smaller than the sum of its proper divisors (21026699840).

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

14032127680 is a wasteful number, since it uses less digits than its factorization.

14032127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23298 (or 23288 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 14032127680 in words is "fourteen billion, thirty-two million, one hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 61 62 64 80 122 124 155 160 244 248 305 310 320 488 496 610 620 976 992 1220 1240 1891 1952 1984 2440 2480 3782 3904 4880 4960 7564 9455 9760 9920 15128 18910 19520 23189 30256 37820 46378 60512 75640 92756 115945 121024 151280 185512 231890 302560 371024 463780 605120 718859 742048 927560 1414529 1437718 1484096 1855120 2829058 2875436 3594295 3710240 5658116 5750872 7072645 7188590 7420480 11316232 11501744 14145290 14377180 22632464 23003488 28290580 28754360 43850399 45264928 46006976 56581160 57508720 87700798 90529856 113162320 115017440 175401596 219251995 226324640 230034880 350803192 438503990 452649280 701606384 877007980 1403212768 1754015960 2806425536 3508031920 7016063840 14032127680