Search a number
-
+
11404422440411 = 711131271671793001
BaseRepresentation
bin1010010111110100110010…
…0011000110010111011011
31111101020210210211022001112
42211331030203012113123
52443322224121043121
640131041440010535
72254641135204530
oct245751443062733
944336723738045
1011404422440411
1136a7652178240
121342306000a4b
13649581051530
142b5d96c14d87
1514b9c647075b
hexa5f4c8c65db

11404422440411 has 128 divisors (see below), whose sum is σ = 15617147535360. Its totient is φ = 8041783680000.

The previous prime is 11404422440407. The next prime is 11404422440491.

11404422440411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11404422440411 - 22 = 11404422440407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11404422440491) 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, 3800205911 + ... + 3800208911.

It is an arithmetic number, because the mean of its divisors is an integer number (122008965120).

Almost surely, 211404422440411 is an apocalyptic number.

11404422440411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11404422440411 is a deficient number, since it is larger than the sum of its proper divisors (4212725094949).

11404422440411 is a wasteful number, since it uses less digits than its factorization.

11404422440411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505.

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 1140442 and 2440411, that added together give a palindrome (3580853).

The spelling of 11404422440411 in words is "eleven trillion, four hundred four billion, four hundred twenty-two million, four hundred forty thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 127 143 167 179 889 1001 1169 1253 1397 1651 1837 1969 2171 2327 3001 9779 11557 12859 13783 15197 16289 18161 21007 21209 22733 23881 25597 29893 33011 39013 127127 148463 159131 167167 179179 209251 231077 233299 250063 273091 275717 295529 328823 381127 388609 429143 501167 537179 1633093 1750441 1930019 2068703 2301761 2667889 2720263 3004001 3032887 3250819 3508169 3760253 3796411 4192397 4274699 4954651 5512837 5908969 6515171 6983327 21230209 22755733 26574877 29346779 29922893 34682557 38589859 41362783 41760521 45606197 48883289 49353343 54501161 63648209 68221733 71666881 76816597 89708893 292323647 345473401 381508127 445537463 477552131 501668167 537716179 542886773 627962251 700130299 750439063 827426717 886882529 986797823 1166215609 3800207411 4900912093 5253073441 5791987019 6208177703 6907584761 8163509263 9101693887 9755707819 11393029411 12828371699 63711857209 68289954733 79751205877 89798601893 125323323521 148109382343 877263264647 1036765676401 1629203205773 11404422440411