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14215522400145 = 3451114921415531
BaseRepresentation
bin1100111011011100111100…
…1010011011011110010001
31212022222202012100021020000
43032313033022123132101
53330401342213301040
650122304300040213
72665015616464353
oct316671712333621
955288665307200
1014215522400145
114590850884860
121717091833069
137c16970b7c81
1437206bcbb0d3
15199ba1e77130
hexcedcf29b791

14215522400145 has 80 divisors (see below), whose sum is σ = 27985817217600. Its totient is φ = 6846116630400.

The previous prime is 14215522400141. The next prime is 14215522400173. The reversal of 14215522400145 is 54100422551241.

14215522400145 is a `hidden beast` number, since 1 + 4 + 21 + 552 + 2 + 40 + 0 + 1 + 45 = 666.

It is not a de Polignac number, because 14215522400145 - 22 = 14215522400141 is a prime.

It is a super-2 number, since 2×142155224001452 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14215522400141) 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, 10043971 + ... + 11371560.

It is an arithmetic number, because the mean of its divisors is an integer number (349822715220).

Almost surely, 214215522400145 is an apocalyptic number.

14215522400145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14215522400145 is a deficient number, since it is larger than the sum of its proper divisors (13770294817455).

14215522400145 is a wasteful number, since it uses less digits than its factorization.

14215522400145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21415708 (or 21415699 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 14215522400145 its reverse (54100422551241), we get a palindrome (68315944951386).

The spelling of 14215522400145 in words is "fourteen trillion, two hundred fifteen billion, five hundred twenty-two million, four hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 149 165 297 405 447 495 745 891 1341 1485 1639 2235 4023 4455 4917 6705 8195 12069 14751 20115 24585 44253 60345 73755 132759 221265 663795 21415531 64246593 107077655 192739779 235570841 321232965 578219337 706712523 963698895 1177854205 1734658011 2120137569 2891096685 3190914119 3533562615 6360412707 8673290055 9572742357 10600687845 15954570595 19081238121 28718227071 31802063535 35100055309 47863711785 86154681213 95406190605 105300165927 143591135355 175500276545 258464043639 315900497781 430773406065 526500829635 947701493343 1292320218195 1579502488905 2843104480029 4738507466715 14215522400145