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413302040430 = 2351935312831601
BaseRepresentation
bin1100000001110101011…
…10001010011101101110
31110111210201201001000220
412000322232022131232
523232420310243210
6513511321032210
741601003243666
oct6007256123556
91414721631026
10413302040430
1114a30a255244
1268126025666
132cc88473796
141600aab31a6
15ab3e60dc70
hex603ab8a76e

413302040430 has 128 divisors (see below), whose sum is σ = 1048560007680. Its totient is φ = 103971225600.

The previous prime is 413302040423. The next prime is 413302040443. The reversal of 413302040430 is 34040203314.

It is a self number, because there is not a number n which added to its sum of digits gives 413302040430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258151630 + ... + 258153230.

It is an arithmetic number, because the mean of its divisors is an integer number (8191875060).

Almost surely, 2413302040430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413302040430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524280003840).

413302040430 is an abundant number, since it is smaller than the sum of its proper divisors (635257967250).

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

413302040430 is a wasteful number, since it uses less digits than its factorization.

413302040430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 413302040430 its reverse (34040203314), we get a palindrome (447342243744).

The spelling of 413302040430 in words is "four hundred thirteen billion, three hundred two million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 353 570 706 1059 1283 1601 1765 2118 2566 3202 3530 3849 4803 5295 6415 6707 7698 8005 9606 10590 12830 13414 16010 19245 20121 24015 24377 30419 33535 38490 40242 48030 48754 60838 67070 73131 91257 100605 121885 146262 152095 182514 201210 243770 304190 365655 452899 456285 565153 731310 905798 912570 1130306 1358697 1695459 2054083 2264495 2717394 2825765 3390918 4108166 4528990 5651530 6162249 6793485 8477295 8605081 10270415 10737907 12324498 13586970 16954590 17210162 20540830 21475814 25815243 30811245 32213721 39027577 43025405 51630486 53689535 61622490 64427442 78055154 86050810 107379070 117082731 129076215 161068605 195137885 234165462 258152430 322137210 390275770 585413655 725091299 1170827310 1450182598 2175273897 3625456495 4350547794 7250912990 10876369485 13776734681 21752738970 27553469362 41330204043 68883673405 82660408086 137767346810 206651020215 413302040430