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140214204243144 = 23331678963433679
BaseRepresentation
bin11111111000011000101001…
…110101100001110011001000
3200101110100100222022112121000
4133320120221311201303020
5121334232142241240034
61214113303255215000
741351066456230503
oct3770305165416310
9611410328275530
10140214204243144
1140749567a11569
1213886551377460
1360311b1750175
14268a591a5013a
15113245e98a599
hex7f8629d61cc8

140214204243144 has 128 divisors (see below), whose sum is σ = 391860758016000. Its totient is φ = 46452908964672.

The previous prime is 140214204243109. The next prime is 140214204243187. The reversal of 140214204243144 is 441342402412041.

140214204243144 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 14 + 204 + 2 + 431 + 4 + 4 = 666.

140214204243144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140214204243099 and 140214204243108.

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, 323096497 + ... + 323530175.

It is an arithmetic number, because the mean of its divisors is an integer number (3061412172000).

Almost surely, 2140214204243144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140214204243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195930379008000).

140214204243144 is an abundant number, since it is smaller than the sum of its proper divisors (251646553772856).

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

140214204243144 is a wasteful number, since it uses less digits than its factorization.

140214204243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442824 (or 442814 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 140214204243144 its reverse (441342402412041), we get a palindrome (581556606655185).

The spelling of 140214204243144 in words is "one hundred forty trillion, two hundred fourteen billion, two hundred four million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 668 1002 1336 1503 2004 3006 4008 4509 6012 8963 9018 12024 17926 18036 26889 35852 36072 53778 71704 80667 107556 161334 215112 242001 322668 433679 484002 645336 867358 968004 1301037 1496821 1734716 1936008 2602074 2993642 3469432 3903111 4490463 5204148 5987284 7806222 8980926 10408296 11709333 11974568 13471389 15612444 17961852 23418666 26942778 31224888 35923704 40414167 46837332 53885556 72424393 80828334 93674664 107771112 144848786 161656668 217273179 289697572 323313336 434546358 579395144 651819537 869092716 1303639074 1738185432 1955458611 2607278148 3887064877 3910917222 5214556296 7774129754 7821834444 11661194631 15548259508 15643668888 23322389262 31096519016 34983583893 46644778524 69967167786 93289557048 104950751679 139934335572 209901503358 279868671144 419803006716 649139834459 839606013432 1298279668918 1947419503377 2596559337836 3894839006754 5193118675672 5842258510131 7789678013508 11684517020262 15579356027016 17526775530393 23369034040524 35053551060786 46738068081048 70107102121572 140214204243144