Search a number
-
+
14001222432340 = 225111316097304127
BaseRepresentation
bin1100101110111110100111…
…1000111011011001010100
31211120111121021010221200101
43023233221320323121110
53313344000420313330
645440023420023444
72643361226015203
oct313575170733124
954514537127611
1014001222432340
114508981063150
1216a1645091b84
137a74042a09b0
1436593c95b23a
1519430d3ba4ca
hexcbbe9e3b654

14001222432340 has 96 divisors (see below), whose sum is σ = 34545135550464. Its totient is φ = 4699403612160.

The previous prime is 14001222432319. The next prime is 14001222432359. The reversal of 14001222432340 is 4323422210041.

It is a junction number, because it is equal to n+sod(n) for n = 14001222432299 and 14001222432308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45885357 + ... + 46189483.

It is an arithmetic number, because the mean of its divisors is an integer number (359845161984).

Almost surely, 214001222432340 is an apocalyptic number.

14001222432340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001222432340 is an abundant number, since it is smaller than the sum of its proper divisors (20543913118124).

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

14001222432340 is a wasteful number, since it uses less digits than its factorization.

14001222432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320257 (or 320255 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 14001222432340 its reverse (4323422210041), we get a palindrome (18324644642381).

The spelling of 14001222432340 in words is "fourteen trillion, one billion, two hundred twenty-two million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 16097 32194 64388 80485 160970 177067 209261 304127 321940 354134 418522 608254 708268 837044 885335 1046305 1216508 1520635 1770670 2092610 2301871 3041270 3345397 3541340 3953651 4185220 4603742 6082540 6690794 7907302 9207484 11509355 13381588 15814604 16726985 19768255 23018710 33453970 39536510 43490161 46037420 66907940 79073020 86980322 173960644 217450805 434901610 869803220 4895532319 9791064638 19582129276 24477661595 48955323190 53850855509 63641920147 97910646380 107701711018 127283840294 215403422036 254567680588 269254277545 318209600735 538508555090 636419201470 700061121617 1077017110180 1272838402940 1400122243234 2800244486468 3500305608085 7000611216170 14001222432340