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34441213040 = 24513210692383
BaseRepresentation
bin100000000100110110…
…110011010001110000
310021220021012220022222
4200010312303101300
51031013422304130
623453322420212
72326325323553
oct400466632160
9107807186288
1034441213040
1113674192133
126812361668
13332b527b00
14194a21069a
15d689a3ce5
hex804db3470

34441213040 has 120 divisors (see below), whose sum is σ = 86826853440. Its totient is φ = 12699528192.

The previous prime is 34441213039. The next prime is 34441213091. The reversal of 34441213040 is 4031214443.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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, 14451689 + ... + 14454071.

It is an arithmetic number, because the mean of its divisors is an integer number (723557112).

Almost surely, 234441213040 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 34441213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43413426720).

34441213040 is an abundant number, since it is smaller than the sum of its proper divisors (52385640400).

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

34441213040 is a wasteful number, since it uses less digits than its factorization.

34441213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34441213040 its reverse (4031214443), we get a palindrome (38472427483).

The spelling of 34441213040 in words is "thirty-four billion, four hundred forty-one million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1069 1352 1690 2138 2383 2704 3380 4276 4766 5345 6760 8552 9532 10690 11915 13520 13897 17104 19064 21380 23830 27794 30979 38128 42760 47660 55588 61958 69485 85520 95320 111176 123916 138970 154895 180661 190640 222352 247832 277940 309790 361322 402727 495664 555880 619580 722644 805454 903305 1111760 1239160 1445288 1610908 1806610 2013635 2478320 2547427 2890576 3221816 3613220 4027270 5094854 6443632 7226440 8054540 10189708 12737135 14452880 16109080 20379416 25474270 32218160 33116551 40758832 50948540 66233102 101897080 132466204 165582755 203794160 264932408 331165510 430515163 529864816 662331020 861030326 1324662040 1722060652 2152575815 2649324080 3444121304 4305151630 6888242608 8610303260 17220606520 34441213040