Search a number
-
+
114040323404240 = 2455934147707561
BaseRepresentation
bin11001111011100000010100…
…111101110111000111010000
3112221210011000012211122202112
4121323200110331313013100
5104421414040242413430
61042313222404204452
733010066345021202
oct3173402475670720
9487704005748675
10114040323404240
113337825859a232
1210959941699728
134b82c58152cac
14202381c794772
15d2b6b5788195
hex67b814f771d0

114040323404240 has 80 divisors (see below), whose sum is σ = 269645991284160. Its totient is φ = 44841598018560.

The previous prime is 114040323404171. The next prime is 114040323404257. The reversal of 114040323404240 is 42404323040411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 114040323404197 and 114040323404206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160820060 + ... + 161527620.

It is an arithmetic number, because the mean of its divisors is an integer number (3370574891052).

Almost surely, 2114040323404240 is an apocalyptic number.

114040323404240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114040323404240 is an abundant number, since it is smaller than the sum of its proper divisors (155605667879920).

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

114040323404240 is a wasteful number, since it uses less digits than its factorization.

114040323404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741780 (or 741774 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 114040323404240 its reverse (42404323040411), we get a palindrome (156444646444651).

The spelling of 114040323404240 in words is "one hundred fourteen trillion, forty billion, three hundred twenty-three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 2360 4720 34147 68294 136588 170735 273176 341470 546352 682940 707561 1365880 1415122 2014673 2731760 2830244 3537805 4029346 5660488 7075610 8058692 10073365 11320976 14151220 16117384 20146730 28302440 32234768 40293460 41746099 56604880 80586920 83492198 161173840 166984396 208730495 333968792 417460990 667937584 834921980 1669843960 3339687920 24161085467 48322170934 96644341868 120805427335 193288683736 241610854670 386577367472 483221709340 966443418680 1425504042553 1932886837360 2851008085106 5702016170212 7127520212765 11404032340424 14255040425530 22808064680848 28510080851060 57020161702120 114040323404240