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1241000413000 = 235359910631949
BaseRepresentation
bin10010000011110001011…
…000111000011101001000
311101122020110012220010021
4102003301120320131020
5130313032101204000
62350035133430224
7155442101314555
oct22036130703510
94348213186107
101241000413000
1143933a420237
1218062063b374
13900449c040a
14440c990da2c
152243443611a
hex120f1638748

1241000413000 has 128 divisors (see below), whose sum is σ = 2913019200000. Its totient is φ = 494851219200.

The previous prime is 1241000412983. The next prime is 1241000413019. The reversal of 1241000413000 is 3140001421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636736026 + ... + 636737974.

It is an arithmetic number, because the mean of its divisors is an integer number (22757962500).

Almost surely, 21241000413000 is an apocalyptic number.

1241000413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241000413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456509600000).

1241000413000 is an abundant number, since it is smaller than the sum of its proper divisors (1672018787000).

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

1241000413000 is a wasteful number, since it uses less digits than its factorization.

1241000413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1241000413000 its reverse (3140001421), we get a palindrome (1244140414421).

The spelling of 1241000413000 in words is "one trillion, two hundred forty-one billion, four hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 599 1000 1063 1198 1949 2126 2396 2995 3898 4252 4792 5315 5990 7796 8504 9745 10630 11980 14975 15592 19490 21260 23960 26575 29950 38980 42520 48725 53150 59900 74875 77960 97450 106300 119800 132875 149750 194900 212600 243625 265750 299500 389800 487250 531500 599000 636737 974500 1063000 1167451 1273474 1949000 2071787 2334902 2546948 3183685 4143574 4669804 5093896 5837255 6367370 8287148 9339608 10358935 11674510 12734740 15918425 16574296 20717870 23349020 25469480 29186275 31836850 41435740 46698040 51794675 58372550 63673700 79592125 82871480 103589350 116745100 127347400 145931375 159184250 207178700 233490200 258973375 291862750 318368500 414357400 517946750 583725500 636737000 1035893500 1167451000 1241000413 2071787000 2482000826 4964001652 6205002065 9928003304 12410004130 24820008260 31025010325 49640016520 62050020650 124100041300 155125051625 248200082600 310250103250 620500206500 1241000413000