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13741149420 = 223552827397
BaseRepresentation
bin11001100110000100…
…10100110011101100
31022110122101201100000
430303002110303230
5211120213240140
610151304304300
7664342562055
oct146302246354
938418351300
1013741149420
11591157aa39
1227b5a72090
1313acabab5b
14944d7572c
15556551a30
hex333094cec

13741149420 has 72 divisors (see below), whose sum is σ = 43225260624. Its totient is φ = 3664305216.

The previous prime is 13741149413. The next prime is 13741149437. The reversal of 13741149420 is 2494114731.

13741149420 is a `hidden beast` number, since 137 + 4 + 11 + 494 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408839 + ... + 1418558.

It is an arithmetic number, because the mean of its divisors is an integer number (600350842).

Almost surely, 213741149420 is an apocalyptic number.

13741149420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13741149420 is an abundant number, since it is smaller than the sum of its proper divisors (29484111204).

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

13741149420 is a wasteful number, since it uses less digits than its factorization.

13741149420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827421 (or 2827407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13741149420 in words is "thirteen billion, seven hundred forty-one million, one hundred forty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 4860 2827397 5654794 8482191 11309588 14136985 16964382 25446573 28273970 33928764 42410955 50893146 56547940 76339719 84821910 101786292 127232865 152679438 169643820 229019157 254465730 305358876 381698595 458038314 508931460 687057471 763397190 916076628 1145095785 1374114942 1526794380 2290191570 2748229884 3435287355 4580383140 6870574710 13741149420