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13541440500 = 2232537429887
BaseRepresentation
bin11001001110010000…
…11111101111110100
31021221201121110012100
430213020133233310
5210213102044000
610115412022100
7656366226240
oct144710375764
937851543170
1013541440500
115819876745
12275b001930
13137a6061b3
1492662b420
15543c53a00
hex32721fbf4

13541440500 has 144 divisors (see below), whose sum is σ = 48821520384. Its totient is φ = 3095179200.

The previous prime is 13541440483. The next prime is 13541440511. The reversal of 13541440500 is 504414531.

It is a happy number.

13541440500 is a `hidden beast` number, since 13 + 5 + 4 + 144 + 0 + 500 = 666.

It is a super-2 number, since 2×135414405002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183444 + ... + 246443.

It is an arithmetic number, because the mean of its divisors is an integer number (339038336).

Almost surely, 213541440500 is an apocalyptic number.

13541440500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13541440500 is an abundant number, since it is smaller than the sum of its proper divisors (35280079884).

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

13541440500 is a wasteful number, since it uses less digits than its factorization.

13541440500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429919 (or 429904 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 13541440500 in words is "thirteen billion, five hundred forty-one million, four hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7875 10500 15750 31500 429887 859774 1289661 1719548 2149435 2579322 3009209 3868983 4298870 5158644 6018418 6448305 7737966 8597740 9027627 10747175 12036836 12896610 15046045 15475932 18055254 19344915 21494350 25793220 27082881 30092090 32241525 36110508 38689830 42988700 45138135 53735875 54165762 60184180 64483050 75230225 77379660 90276270 96724575 107471750 108331524 128966100 135414405 150460450 161207625 180552540 193449150 214943500 225690675 270828810 300920900 322415250 376151125 386898300 451381350 483622875 541657620 644830500 677072025 752302250 902762700 967245750 1128453375 1354144050 1504604500 1934491500 2256906750 2708288100 3385360125 4513813500 6770720250 13541440500