Search a number
-
+
10141243344 = 24324092421
BaseRepresentation
bin10010111000111011…
…10001011111010000
3222011202112112120100
421130131301133100
5131232124241334
64354150012400
7506211101061
oct113435613720
928152475510
1010141243344
114334516251
121b70347100
13c5804170b
146c2c0c568
153e54acc99
hex25c7717d0

10141243344 has 90 divisors (see below), whose sum is σ = 28518537606. Its totient is φ = 3364139520.

The previous prime is 10141243339. The next prime is 10141243361. The reversal of 10141243344 is 44334214101.

It can be written as a sum of positive squares in 3 ways, for example, as 2522048400 + 7619194944 = 50220^2 + 87288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24088254 + ... + 24088674.

Almost surely, 210141243344 is an apocalyptic number.

It is an amenable number.

10141243344 is an abundant number, since it is smaller than the sum of its proper divisors (18377294262).

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

10141243344 is an equidigital number, since it uses as much as digits as its factorization.

10141243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 835 counting only the distinct ones).

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

Adding to 10141243344 its reverse (44334214101), we get a palindrome (54475457445).

The spelling of 10141243344 in words is "ten billion, one hundred forty-one million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 409 421 818 842 1227 1263 1636 1684 2454 2526 3272 3368 3681 3789 4908 5052 6544 6736 7362 7578 9816 10104 14724 15156 19632 20208 29448 30312 58896 60624 167281 172189 334562 344378 501843 516567 669124 688756 1003686 1033134 1338248 1377512 1505529 1549701 2007372 2066268 2676496 2755024 3011058 3099402 4014744 4132536 6022116 6198804 8029488 8265072 12044232 12397608 24088464 24795216 70425301 140850602 211275903 281701204 422551806 563402408 633827709 845103612 1126804816 1267655418 1690207224 2535310836 3380414448 5070621672 10141243344