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2114320143024 = 243271383539947
BaseRepresentation
bin11110110001000111010…
…011010001001010110000
321111010102121100211110100
4132301013103101022300
5234120111424034044
64255145534232400
7305516552454465
oct36610723211260
97433377324410
102114320143024
11745750667331
122a1929655700
131244c1ab400b
147449572166c
1539ee94d7869
hex1ec474d12b0

2114320143024 has 120 divisors (see below), whose sum is σ = 6016178368512. Its totient is φ = 693031489920.

The previous prime is 2114320143007. The next prime is 2114320143049. The reversal of 2114320143024 is 4203410234112.

2114320143024 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 3 + 201 + 430 + 24 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3645819 + ... + 4185765.

Almost surely, 22114320143024 is an apocalyptic number.

2114320143024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114320143024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008089184256).

2114320143024 is an abundant number, since it is smaller than the sum of its proper divisors (3901858225488).

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

2114320143024 is a wasteful number, since it uses less digits than its factorization.

2114320143024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540415 (or 540406 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2114320143024 its reverse (4203410234112), we get a palindrome (6317730377136).

The spelling of 2114320143024 in words is "two trillion, one hundred fourteen billion, three hundred twenty million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 383 426 568 639 766 852 1136 1149 1278 1532 1704 2298 2556 3064 3408 3447 4596 5112 6128 6894 9192 10224 13788 18384 27193 27576 54386 55152 81579 108772 163158 217544 244737 326316 435088 489474 539947 652632 978948 1079894 1305264 1619841 1957896 2159788 3239682 3915792 4319576 4859523 6479364 8639152 9719046 12958728 19438092 25917456 38336237 38876184 76672474 77752368 115008711 153344948 206799701 230017422 306689896 345026133 413599402 460034844 613379792 620399103 690052266 827198804 920069688 1240798206 1380104532 1654397608 1840139376 1861197309 2481596412 2760209064 3308795216 3722394618 4963192824 5520418128 7444789236 9926385648 14682778771 14889578472 29365557542 29779156944 44048336313 58731115084 88096672626 117462230168 132145008939 176193345252 234924460336 264290017878 352386690504 528580035756 704773381008 1057160071512 2114320143024