Search a number
-
+
243114415040420 = 2257111272112409913
BaseRepresentation
bin110111010001110001111100…
…010110010010011110100100
31011212210111210120220121120122
4313101301330112102132210
5223331141310222243140
62221021115340421112
7102131302561416020
oct6721617426223644
91155714716817518
10243114415040420
1170511276346440
1223325251847798
13a58678b481291
144406b2c6cb380
151d18e6d002ab5
hexdd1c7c5927a4

243114415040420 has 96 divisors (see below), whose sum is σ = 636567829261056. Its totient is φ = 75769958707200.

The previous prime is 243114415040407. The next prime is 243114415040437. The reversal of 243114415040420 is 24040514411342.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 13385384 + ... + 25795296.

It is an arithmetic number, because the mean of its divisors is an integer number (6630914888136).

Almost surely, 2243114415040420 is an apocalyptic number.

243114415040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243114415040420 is an abundant number, since it is smaller than the sum of its proper divisors (393453414220636).

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

243114415040420 is a wasteful number, since it uses less digits than its factorization.

243114415040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422661 (or 12422659 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 243114415040420 its reverse (24040514411342), we get a palindrome (267154929451762).

The spelling of 243114415040420 in words is "two hundred forty-three trillion, one hundred fourteen billion, four hundred fifteen million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 12721 25442 50884 63605 89047 127210 139931 178094 254420 279862 356188 445235 559724 699655 890470 979517 1399310 1780940 1959034 2798620 3918068 4897585 9795170 12409913 19590340 24819826 49639652 62049565 86869391 124099130 136509043 173738782 248198260 273018086 347477564 434346955 546036172 682545215 868693910 955563301 1365090430 1737387820 1911126602 2730180860 3822253204 4777816505 9555633010 19111266020 157866503273 315733006546 631466013092 789332516365 1105065522911 1578665032730 1736531536003 2210131045822 3157330065460 3473063072006 4420262091644 5525327614555 6946126144012 8682657680015 11050655229110 12155720752021 17365315360030 22101310458220 24311441504042 34730630720060 48622883008084 60778603760105 121557207520210 243114415040420