Search a number
-
+
421014442140 = 2232517193712883
BaseRepresentation
bin1100010000001100110…
…10101001000010011100
31111020201012221122020200
412020012122221002130
523344214144122030
6521224504343500
742263062466115
oct6100632510234
91436635848220
10421014442140
11152607749856
1269718a74b90
133091723b8a6
141653d0b520c
15ae41749d60
hex62066a909c

421014442140 has 144 divisors (see below), whose sum is σ = 1359207446688. Its totient is φ = 105118728192.

The previous prime is 421014442133. The next prime is 421014442141. The reversal of 421014442140 is 41244410124.

It is a happy number.

421014442140 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 1 + 444 + 214 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421014442141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234139 + ... + 947021.

It is an arithmetic number, because the mean of its divisors is an integer number (9438940602).

Almost surely, 2421014442140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421014442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679603723344).

421014442140 is an abundant number, since it is smaller than the sum of its proper divisors (938193004548).

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

421014442140 is a wasteful number, since it uses less digits than its factorization.

421014442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713108 (or 713103 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 421014442140 its reverse (41244410124), we get a palindrome (462258852264).

The spelling of 421014442140 in words is "four hundred twenty-one billion, fourteen million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 193 204 255 306 340 386 510 579 612 765 772 965 1020 1158 1530 1737 1930 2316 2895 3060 3281 3474 3860 5790 6562 6948 8685 9843 11580 13124 16405 17370 19686 29529 32810 34740 39372 49215 59058 65620 98430 118116 147645 196860 295290 590580 712883 1425766 2138649 2851532 3564415 4277298 6415947 7128830 8554596 10693245 12119011 12831894 14257660 21386490 24238022 25663788 32079735 36357033 42772980 48476044 60595055 64159470 72714066 109071099 121190110 128318940 137586419 145428132 181785165 218142198 242380220 275172838 363570330 412759257 436284396 545355495 550345676 687932095 727140660 825518514 1090710990 1238277771 1375864190 1651037028 2063796285 2181421980 2338969123 2476555542 2751728380 4127592570 4677938246 4953111084 6191388855 7016907369 8255185140 9355876492 11694845615 12382777710 14033814738 21050722107 23389691230 24765555420 28067629476 35084536845 42101444214 46779382460 70169073690 84202888428 105253610535 140338147380 210507221070 421014442140