Search a number
-
+
31434233243413 = 711134110127127983
BaseRepresentation
bin1110010010110110110100…
…10011100110011100010101
311010022002020202120111121011
413021123122103212130111
513110004302202242123
6150504404251052221
76423022413663520
oct711333223463425
9133262222514534
1031434233243413
11a01a2021a4850
1236381b9141071
13147030a456270
147a95d430bbb7
15397a2350be0d
hex1c96da4e6715

31434233243413 has 128 divisors (see below), whose sum is σ = 43825555243008. Its totient is φ = 21758803200000.

The previous prime is 31434233243401. The next prime is 31434233243431.

31434233243413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31434233243413 - 217 = 31434233112341 is a prime.

It is a super-2 number, since 2×314342332434132 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434233243213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1123319220 + ... + 1123347202.

It is an arithmetic number, because the mean of its divisors is an integer number (342387150336).

Almost surely, 231434233243413 is an apocalyptic number.

It is an amenable number.

31434233243413 is a deficient number, since it is larger than the sum of its proper divisors (12391321999595).

31434233243413 is a wasteful number, since it uses less digits than its factorization.

31434233243413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28427.

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 3143423 and 3243413, that added together give a palindrome (6386836).

The spelling of 31434233243413 in words is "thirty-one trillion, four hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, four hundred thirteen".

Divisors: 1 7 11 13 41 77 91 101 143 271 287 451 533 707 1001 1111 1313 1897 2981 3157 3523 3731 4141 5863 7777 9191 11111 14443 20867 24661 27371 27983 28987 38753 41041 45551 53833 77777 101101 122221 144443 191597 195881 271271 301081 307813 318857 355823 363779 376831 592163 855547 1011101 1122211 1147303 1588873 2107567 2154691 2490761 2546453 2826283 3914053 4001569 4145141 7583393 7855477 8031121 11122111 12344321 12620333 14588743 14914939 19783981 27398371 28010983 31089113 36741679 53083751 83417323 86410247 88342331 98584109 102121201 104404573 115877603 160476173 164064329 217623791 257191753 310919113 404158469 583921261 690088763 765922693 811143221 1084425199 1123333211 1148450303 1274653633 1506408839 2176433791 2829109283 3420110243 4041948469 5361458851 7590976393 8425149623 8922575431 9956995009 10544861873 16570497229 23940771701 28293639283 31402830413 44461433159 58976047361 69698965063 109526945099 115993480603 219819812891 311230032113 345431134543 408236795369 766688615693 2418017941801 2857657567583 4490604749059 31434233243413