Search a number
-
+
140214332020240 = 24513714081908549
BaseRepresentation
bin11111111000011000110001…
…011100111101011000010000
3200101110100200212202021211001
4133320120301130331120100
5121334232422444121430
61214113324102031344
741351102600302462
oct3770306134753020
9611410625667731
10140214332020240
1140749623055375
1213886588118554
13603120206ac0a
14268a5a49d2132
15113246acca3ca
hex7f863173d610

140214332020240 has 80 divisors (see below), whose sum is σ = 328401553834800. Its totient is φ = 55672332615680.

The previous prime is 140214332020237. The next prime is 140214332020241. The reversal of 140214332020240 is 42020233412041.

It can be written as a sum of positive squares in 8 ways, for example, as 547978945536 + 139666353074704 = 740256^2 + 11818052^2 .

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 = 140214332020199 and 140214332020208.

It is not an unprimeable number, because it can be changed into a prime (140214332020241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153873486 + ... + 154782034.

It is an arithmetic number, because the mean of its divisors is an integer number (4105019422935).

Almost surely, 2140214332020240 is an apocalyptic number.

140214332020240 is a gapful number since it is divisible by the number (10) 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 140214332020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164200776917400).

140214332020240 is an abundant number, since it is smaller than the sum of its proper divisors (188187221814560).

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

140214332020240 is a wasteful number, since it uses less digits than its factorization.

140214332020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922780 (or 922774 counting only the distinct ones).

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

Adding to 140214332020240 its reverse (42020233412041), we get a palindrome (182234565432281).

The spelling of 140214332020240 in words is "one hundred forty trillion, two hundred fourteen billion, three hundred thirty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 14081 28162 56324 70405 112648 140810 225296 281620 563240 908549 1126480 1817098 1929097 3634196 3858194 4542745 7268392 7716388 9085490 9645485 14536784 15432776 18170980 19290970 30865552 36341960 38581940 72683920 77163880 124471213 154327760 248942426 497884852 622356065 995769704 1244712130 1991539408 2489424260 4978848520 9957697040 12793278469 25586556938 51173113876 63966392345 102346227752 127932784690 204692455504 255865569380 511731138760 1023462277520 1752679150253 3505358300506 7010716601012 8763395751265 14021433202024 17526791502530 28042866404048 35053583005060 70107166010120 140214332020240