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213004341040 = 24517241649879
BaseRepresentation
bin1100011001100000001…
…1000100111100110000
3202100210122020122202011
43012120003010330300
511442213102403130
6241504114132304
721250306011511
oct3063003047460
9670718218664
10213004341040
1182375441097
1235346881094
1317117580a2a
14a44925aa08
155819e8252a
hex31980c4f30

213004341040 has 80 divisors (see below), whose sum is σ = 526543174080. Its totient is φ = 79857008640.

The previous prime is 213004341037. The next prime is 213004341047. The reversal of 213004341040 is 40143400312.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (213004341047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2821 + ... + 652699.

It is an arithmetic number, because the mean of its divisors is an integer number (6581789676).

Almost surely, 2213004341040 is an apocalyptic number.

213004341040 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 213004341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263271587040).

213004341040 is an abundant number, since it is smaller than the sum of its proper divisors (313538833040).

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

213004341040 is a wasteful number, since it uses less digits than its factorization.

213004341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650150 (or 650144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213004341040 its reverse (40143400312), we get a palindrome (253147741352).

The spelling of 213004341040 in words is "two hundred thirteen billion, four million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 241 272 340 482 680 964 1205 1360 1928 2410 3856 4097 4820 8194 9640 16388 19280 20485 32776 40970 65552 81940 163880 327760 649879 1299758 2599516 3249395 5199032 6498790 10398064 11047943 12997580 22095886 25995160 44191772 51990320 55239715 88383544 110479430 156620839 176767088 220958860 313241678 441917720 626483356 783104195 883835440 1252966712 1566208390 2505933424 2662554263 3132416780 5325108526 6264833560 10650217052 12529667120 13312771315 21300434104 26625542630 42600868208 53251085260 106502170520 213004341040