Search a number
-
+
31230314342409 = 3713612338099949
BaseRepresentation
bin1110001100111010111111…
…10010101110100000001001
311002120120220022012000120010
413012131133302232200021
513043134140432424114
6150231001445222133
76402213205634250
oct706353762564011
9132516808160503
1031230314342409
119a5077a301296
123604789101949
13145701026c070
1479d7ab987797
1539258aed1c59
hex1c675fcae809

31230314342409 has 128 divisors (see below), whose sum is σ = 52383397248000. Its totient is φ = 16111978168320.

The previous prime is 31230314342351. The next prime is 31230314342429. The reversal of 31230314342409 is 90424341303213.

It is not a de Polignac number, because 31230314342409 - 237 = 31092875388937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31230314342429) 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, 3139035567 + ... + 3139045515.

It is an arithmetic number, because the mean of its divisors is an integer number (409245291000).

Almost surely, 231230314342409 is an apocalyptic number.

31230314342409 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31230314342409 is a deficient number, since it is larger than the sum of its proper divisors (21153082905591).

31230314342409 is a wasteful number, since it uses less digits than its factorization.

31230314342409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075.

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 31230314342409 in words is "thirty-one trillion, two hundred thirty billion, three hundred fourteen million, three hundred forty-two thousand, four hundred nine".

Divisors: 1 3 7 13 21 39 61 91 183 233 273 427 699 793 809 1281 1631 2379 2427 3029 4893 5551 5663 9087 9949 10517 14213 16653 16989 21203 29847 31551 42639 49349 63609 69643 73619 99491 129337 148047 184769 188497 208929 220857 298473 345443 388011 554307 565491 606889 641537 905359 1036329 1293383 1319479 1820667 1924611 2318117 2450461 2716077 3880149 3958437 4248223 4490759 6954351 7351383 7889557 8048741 11498317 12744669 13472277 16226819 17153227 23668671 24146223 30135521 34494951 48680457 51459681 55226899 56341187 80488219 90406563 104633633 141405137 149478121 165680697 169023561 210948647 241464657 313900899 424215411 448434363 490973201 632845941 732435431 989835959 1046346847 1472919603 1838266781 1875356653 2197306293 2969507877 3139040541 3436812407 5514800343 5626069959 6382651613 10310437221 12867867467 13127496571 19147954839 24379636489 38603602401 39382489713 44678561291 73138909467 114396755833 134035683873 170657455423 343190267499 511972366269 800777290831 1487157825829 2402331872493 4461473477487 10410104780803 31230314342409