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10434131450340 = 22351313377091603
BaseRepresentation
bin1001011111010110001010…
…1100101101100111100100
31100221111022120010221121120
42113311202230231213210
52331423100122402330
634105212424413540
72124561334652013
oct227654254554744
940844276127546
1010434131450340
1133630aa206214
1212062556172b0
135a8c1ba86010
1428102c30aa7a
15131638003c10
hex97d62b2d9e4

10434131450340 has 48 divisors (see below), whose sum is σ = 31462919452608. Its totient is φ = 2568401587584.

The previous prime is 10434131450333. The next prime is 10434131450357. The reversal of 10434131450340 is 4305413143401.

It is a super-2 number, since 2×104341314503402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6688545022 + ... + 6688546581.

It is an arithmetic number, because the mean of its divisors is an integer number (655477488596).

Almost surely, 210434131450340 is an apocalyptic number.

10434131450340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434131450340 is an abundant number, since it is smaller than the sum of its proper divisors (21028788002268).

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

10434131450340 is a wasteful number, since it uses less digits than its factorization.

10434131450340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13377091628 (or 13377091626 counting only the distinct ones).

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

Adding to 10434131450340 its reverse (4305413143401), we get a palindrome (14739544593741).

The spelling of 10434131450340 in words is "ten trillion, four hundred thirty-four billion, one hundred thirty-one million, four hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 13377091603 26754183206 40131274809 53508366412 66885458015 80262549618 133770916030 160525099236 173902190839 200656374045 267541832060 347804381678 401312748090 521706572517 695608763356 802625496180 869510954195 1043413145034 1739021908390 2086826290068 2608532862585 3478043816780 5217065725170 10434131450340