Search a number
-
+
241402021000 = 2353773472411
BaseRepresentation
bin1110000011010010101…
…1101000010010001000
3212002002201111021020121
43200310223220102020
512423342404133000
6302522031033024
723304111215410
oct3406453502210
9762081437217
10241402021000
1193418169388
123a95106b774
13199c19aa05a
14b980969640
15642d09eb1a
hex3834ae8488

241402021000 has 128 divisors (see below), whose sum is σ = 654422895360. Its totient is φ = 81632448000.

The previous prime is 241402020997. The next prime is 241402021001. The reversal of 241402021000 is 120204142.

241402021000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (241402021001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274795 + ... + 747205.

It is an arithmetic number, because the mean of its divisors is an integer number (5112678870).

Almost surely, 2241402021000 is an apocalyptic number.

241402021000 is a gapful number since it is divisible by the number (20) 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 241402021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327211447680).

241402021000 is an abundant number, since it is smaller than the sum of its proper divisors (413020874360).

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

241402021000 is a wasteful number, since it uses less digits than its factorization.

241402021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472512 (or 472498 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 241402021000 its reverse (120204142), we get a palindrome (241522225142).

The spelling of 241402021000 in words is "two hundred forty-one billion, four hundred two million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 73 100 125 140 146 175 200 250 280 292 350 365 500 511 584 700 730 875 1000 1022 1400 1460 1750 1825 2044 2555 2920 3500 3650 4088 5110 7000 7300 9125 10220 12775 14600 18250 20440 25550 36500 51100 63875 73000 102200 127750 255500 472411 511000 944822 1889644 2362055 3306877 3779288 4724110 6613754 9448220 11810275 13227508 16534385 18896440 23620550 26455016 33068770 34486003 47241100 59051375 66137540 68972006 82671925 94482200 118102750 132275080 137944012 165343850 172430015 236205500 241402021 275888024 330687700 344860030 413359625 472411000 482804042 661375400 689720060 826719250 862150075 965608084 1207010105 1379440120 1653438500 1724300150 1931216168 2414020210 3306877000 3448600300 4310750375 4828040420 6035050525 6897200600 8621500750 9656080840 12070101050 17243001500 24140202100 30175252625 34486003000 48280404200 60350505250 120701010500 241402021000