Search a number
-
+
413130231240045 = 3511197314912115471
BaseRepresentation
bin101110111101111010110000…
…0101011011101010101101101
32000011202212100010211002202020
41131323311200223131111231
5413122211203144140140
64022353224055020353
7153006450154660434
oct13573654053352555
92004685303732666
10413130231240045
1110a6aa6022855a0
123a4034a666a6b9
131496a023c82507
14740387773011b
1532b66eaaa46d0
hex177bd60add56d

413130231240045 has 128 divisors (see below), whose sum is σ = 774614817792000. Its totient is φ = 185907525580800.

The previous prime is 413130231239981. The next prime is 413130231240049. The reversal of 413130231240045 is 540042132031314.

It is not a de Polignac number, because 413130231240045 - 26 = 413130231239981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 413130231239988 and 413130231240015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413130231240049) 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, 28041660 + ... + 40157130.

It is an arithmetic number, because the mean of its divisors is an integer number (6051678264000).

Almost surely, 2413130231240045 is an apocalyptic number.

It is an amenable number.

413130231240045 is a deficient number, since it is larger than the sum of its proper divisors (361484586551955).

413130231240045 is a wasteful number, since it uses less digits than its factorization.

413130231240045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12115731.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 413130231240045 its reverse (540042132031314), we get a palindrome (953172363271359).

The spelling of 413130231240045 in words is "four hundred thirteen trillion, one hundred thirty billion, two hundred thirty-one million, two hundred forty thousand, forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 73 95 149 165 209 219 285 365 447 627 745 803 1045 1095 1387 1639 2235 2409 2831 3135 4015 4161 4917 6935 8195 8493 10877 12045 14155 15257 20805 24585 31141 32631 42465 45771 54385 76285 93423 119647 155705 163155 206663 228855 358941 467115 598235 619989 1033315 1794705 2273293 3099945 6819879 11366465 12115471 34099395 36346413 60577355 133270181 181732065 230193949 399810543 666350905 690581847 884429383 1150969745 1805205179 1999052715 2532133439 2653288149 3452909235 4422146915 5415615537 7596400317 9026025895 9728723213 12660667195 13266440745 16804158277 19857256969 27078077685 29186169639 34298898401 37982001585 48643616065 50412474831 59571770907 84020791385 99286284845 102896695203 131779978067 145930848195 171494492005 184845741047 252062374155 297858854535 377287882411 395339934201 514483476015 554537223141 658899890335 924228705235 1131863647233 1449579758737 1886439412055 1976699671005 2503819583273 2772686115705 4348739276211 5659318236165 7247898793685 7511458749819 12519097916365 21743696381055 27542015416003 37557293749095 82626046248009 137710077080015 413130231240045