Search a number
-
+
14049954132760 = 23571310138216609
BaseRepresentation
bin1100110001110100001010…
…0001100111001100011000
31211202011101110102211100201
43030131002201213030120
53320143301224222020
645514243153311544
72650034650440430
oct314350241471430
954664343384321
1014049954132760
11452760890aa27
1216aab852655b4
137abb9c3546a0
14368042a5d2c0
15195711732a0a
hexcc742867318

14049954132760 has 128 divisors (see below), whose sum is σ = 39292789737600. Its totient is φ = 4402553241600.

The previous prime is 14049954132707. The next prime is 14049954132761. The reversal of 14049954132760 is 6723145994041.

It is a super-2 number, since 2×140499541327602 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14049954132761) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 18740665 + ... + 19475944.

It is an arithmetic number, because the mean of its divisors is an integer number (306974919825).

Almost surely, 214049954132760 is an apocalyptic number.

14049954132760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14049954132760 is an abundant number, since it is smaller than the sum of its proper divisors (25242835604840).

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

14049954132760 is a wasteful number, since it uses less digits than its factorization.

14049954132760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38216741 (or 38216737 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 14049954132760 in words is "fourteen trillion, forty-nine billion, nine hundred fifty-four million, one hundred thirty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 101 104 130 140 182 202 260 280 364 404 455 505 520 707 728 808 910 1010 1313 1414 1820 2020 2626 2828 3535 3640 4040 5252 5656 6565 7070 9191 10504 13130 14140 18382 26260 28280 36764 45955 52520 73528 91910 183820 367640 38216609 76433218 152866436 191083045 267516263 305732872 382166090 496815917 535032526 764332180 993631834 1070065052 1337581315 1528664360 1987263668 2140130104 2484079585 2675162630 3477711419 3859877509 3974527336 4968159170 5350325260 6955422838 7719755018 9936318340 10700650520 13910845676 15439510036 17388557095 19299387545 19872636680 27019142563 27821691352 30879020072 34777114190 38598775090 50178407617 54038285126 69554228380 77197550180 100356815234 108076570252 135095712815 139108456760 154395100360 200713630468 216153140504 250892038085 270191425630 351248853319 401427260936 501784076170 540382851260 702497706638 1003568152340 1080765702520 1404995413276 1756244266595 2007136304680 2809990826552 3512488533190 7024977066380 14049954132760