Search a number
-
+
11434020565410 = 23251011976385117
BaseRepresentation
bin1010011001100011000010…
…1110111111000110100010
31111111002012112220211120100
42212120300232333012202
52444313333231043120
640152414434323230
72260036455132252
oct246306056770642
944432175824510
1011434020565410
113709160585673
121347ba6429516
1364c2ba099771
142b75a3b2b962
1514c659b65490
hexa6630bbf1a2

11434020565410 has 96 divisors (see below), whose sum is σ = 30175199291952. Its totient is φ = 3003558566400.

The previous prime is 11434020565343. The next prime is 11434020565411. The reversal of 11434020565410 is 1456502043411.

11434020565410 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 40 + 20 + 56 + 541 + 0 = 666.

11434020565410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 8151578879409 + 3282441686001 = 2855097^2 + 1811751^2 .

It is not an unprimeable number, because it can be changed into a prime (11434020565411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1401829 + ... + 4983288.

Almost surely, 211434020565410 is an apocalyptic number.

11434020565410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11434020565410 is an abundant number, since it is smaller than the sum of its proper divisors (18741178726542).

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

11434020565410 is a wasteful number, since it uses less digits than its factorization.

11434020565410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385428 (or 6385425 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11434020565410 in words is "eleven trillion, four hundred thirty-four billion, twenty million, five hundred sixty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 197 202 303 394 505 591 606 909 985 1010 1182 1515 1773 1818 1970 2955 3030 3546 4545 5910 8865 9090 17730 19897 39794 59691 99485 119382 179073 198970 298455 358146 596910 895365 1790730 6385117 12770234 19155351 31925585 38310702 57466053 63851170 95776755 114932106 191553510 287330265 574660530 644896817 1257868049 1289793634 1934690451 2515736098 3224484085 3773604147 3869380902 5804071353 6289340245 6448968170 7547208294 9673452255 11320812441 11608142706 12578680490 18868020735 19346904510 22641624882 29020356765 37736041470 56604062205 58040713530 113208124410 127044672949 254089345898 381134018847 635223364745 762268037694 1143402056541 1270446729490 1905670094235 2286804113082 3811340188470 5717010282705 11434020565410