Search a number
-
+
3144805117470 = 233531375723431
BaseRepresentation
bin101101110000110100111…
…111011110111000011110
3102010122021212122102012000
4231300310333132320132
5403011030102224340
610404411543423130
7443130126306162
oct55606477367036
912118255572160
103144805117470
11100278255a785
12429598a54aa6
1319a727a68873
14ac2d0776ca2
1556c0c223d30
hex2dc34fdee1e

3144805117470 has 64 divisors (see below), whose sum is σ = 8656667873280. Its totient is φ = 811562608800.

The previous prime is 3144805117459. The next prime is 3144805117483. The reversal of 3144805117470 is 747115084413.

3144805117470 is a `hidden beast` number, since 3 + 1 + 44 + 80 + 51 + 17 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 187853346 + ... + 187870085.

It is an arithmetic number, because the mean of its divisors is an integer number (135260435520).

Almost surely, 23144805117470 is an apocalyptic number.

3144805117470 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3144805117470 is an abundant number, since it is smaller than the sum of its proper divisors (5511862755810).

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

3144805117470 is a wasteful number, since it uses less digits than its factorization.

3144805117470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375723478 (or 375723472 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 3144805117470 in words is "three trillion, one hundred forty-four billion, eight hundred five million, one hundred seventeen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 375723431 751446862 1127170293 1878617155 2254340586 3381510879 3757234310 5635851465 6763021758 10144532637 11271702930 11647426361 16907554395 20289065274 23294852722 33815108790 34942279083 50722663185 58237131805 69884558166 101445326370 104826837249 116474263610 174711395415 209653674498 314480511747 349422790830 524134186245 628961023494 1048268372490 1572402558735 3144805117470