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2431123350436 = 221141723792
BaseRepresentation
bin100011011000001010001…
…111100110001110100100
322121102011011111020102201
4203120022033212032210
5304312420034203221
65100502002344244
7340433334343054
oct43301217461644
98542134436381
102431123350436
11858040830000
1233320235b084
1314833bc028b1
148594a357564
154338be49891
hex2360a3e63a4

2431123350436 has 135 divisors (see below), whose sum is σ = 4984515682545. Its totient is φ = 1037308567680.

The previous prime is 2431123350421. The next prime is 2431123350479. The reversal of 2431123350436 is 6340533211342.

It is a happy number.

The square root of 2431123350436 is 1559206.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1892743092900 + 538380257536 = 1375770^2 + 733744^2 .

It is a super-2 number, since 2×24311233504362 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2431123350395 and 2431123350404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6414573295 + ... + 6414573673.

Almost surely, 22431123350436 is an apocalyptic number.

2431123350436 is the 1559206-th square number.

It is an amenable number.

2431123350436 is an abundant number, since it is smaller than the sum of its proper divisors (2553392332109).

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

2431123350436 is an frugal number, since it uses more digits than its factorization.

2431123350436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

Adding to 2431123350436 its reverse (6340533211342), we get a palindrome (8771656561778).

The spelling of 2431123350436 in words is "two trillion, four hundred thirty-one billion, one hundred twenty-three million, three hundred fifty thousand, four hundred thirty-six".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 379 484 578 748 758 1156 1331 1516 2057 2662 3179 4114 4169 5324 6358 6443 8228 8338 12716 12886 14641 16676 22627 25772 29282 34969 45254 45859 58564 69938 70873 90508 91718 109531 139876 141746 143641 183436 219062 248897 283492 287282 384659 438124 497794 504449 574564 769318 779603 995588 1008898 1204841 1538636 1559206 1580051 2017796 2409682 2441897 3118412 3160102 4231249 4819364 4883794 5548939 6320204 8462498 8575633 9767588 11097878 13253251 16924996 17151266 17380561 22195756 26506502 26860867 34302532 34761122 41512249 53013004 53721734 69522244 83024498 94331963 107443468 145785761 166048996 188663926 191186171 291571522 295469537 377327852 382372342 456634739 583143044 590939074 764744684 913269478 1181878148 1603643371 1826538956 2103047881 3207286742 3250164907 4206095762 5022982129 6414573484 6500329814 8412191524 10045964258 13000659628 20091928516 35751813977 55252803419 71503627954 110505606838 143007255908 221011213676 607780837609 1215561675218 2431123350436