Search a number
-
+
4120402431411 = 327326314873413
BaseRepresentation
bin111011111101011011000…
…111111000110110110011
3112120220110221002221112200
4323331123013320312303
51020002041010301121
612432515311554243
7603455261535000
oct73753307706663
915526427087480
104120402431411
1113494a8832432
1256668a52b983
1323b724495ca6
141035ddcc08a7
15722ab454a26
hex3bf5b1f8db3

4120402431411 has 96 divisors (see below), whose sum is σ = 6973867929600. Its totient is φ = 2343298982976.

The previous prime is 4120402431401. The next prime is 4120402431479. The reversal of 4120402431411 is 1141342040214.

4120402431411 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 4 + 0 + 243 + 1 + 411 = 666.

It is not a de Polignac number, because 4120402431411 - 29 = 4120402430899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4120402431401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1207265341 + ... + 1207268753.

It is an arithmetic number, because the mean of its divisors is an integer number (72644457600).

Almost surely, 24120402431411 is an apocalyptic number.

4120402431411 is a deficient number, since it is larger than the sum of its proper divisors (2853465498189).

4120402431411 is a wasteful number, since it uses less digits than its factorization.

4120402431411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5173 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4120402431411 its reverse (1141342040214), we get a palindrome (5261744471625).

The spelling of 4120402431411 in words is "four trillion, one hundred twenty billion, four hundred two million, four hundred thirty-one thousand, four hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 263 343 441 789 1029 1487 1841 2367 3087 3413 4461 5523 10239 10409 12887 13383 16569 23891 30717 31227 38661 71673 72863 90209 93681 115983 167237 215019 218589 270627 391081 501711 510041 655767 811881 897619 1170659 1173243 1505133 1530123 2692857 2737567 3511977 3519729 4590369 5075131 6283333 8078571 8212701 10535931 15225393 18849999 19162969 24638103 35525917 43983331 45676179 56549997 57488907 106577751 131949993 134140783 172466721 248681419 307883317 319733253 395849979 402422349 746044257 923649951 1207267047 1334759453 1740769933 2238132771 2770949853 4004278359 5222309799 9343316171 12012835077 15666929397 28029948513 65403213197 84089845539 196209639591 457822492379 588628918773 1373467477137 4120402431411