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4424211213040 = 2451631793495431
BaseRepresentation
bin100000001100001011110…
…0010011010101011110000
3120122221122212221010110001
41000120113202122223300
51034441241032304130
613224242104315344
7634432035553063
oct100302742325360
916587585833401
104424211213040
11145632a988743
125b5537472b54
13261280415128
141141c0bdc8da
157a13d1b66ca
hex4061789aaf0

4424211213040 has 160 divisors (see below), whose sum is σ = 10438956864000. Its totient is φ = 1743669089280.

The previous prime is 4424211213029. The next prime is 4424211213101. The reversal of 4424211213040 is 403121124244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814619125 + ... + 814624555.

It is an arithmetic number, because the mean of its divisors is an integer number (65243480400).

Almost surely, 24424211213040 is an apocalyptic number.

4424211213040 is a gapful number since it is divisible by the number (40) 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 4424211213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219478432000).

4424211213040 is an abundant number, since it is smaller than the sum of its proper divisors (6014745650960).

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

4424211213040 is a wasteful number, since it uses less digits than its factorization.

4424211213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4424211213040 its reverse (403121124244), we get a palindrome (4827332337284).

The spelling of 4424211213040 in words is "four trillion, four hundred twenty-four billion, two hundred eleven million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 179 326 349 358 652 698 716 815 895 1304 1396 1432 1630 1745 1790 2608 2792 2864 3260 3490 3580 5431 5584 6520 6980 7160 10862 13040 13960 14320 21724 27155 27920 29177 43448 54310 56887 58354 62471 86896 108620 113774 116708 124942 145885 217240 227548 233416 249884 284435 291770 312355 434480 455096 466832 499768 568870 583540 624710 885253 910192 972149 999536 1137740 1167080 1249420 1770506 1895419 1944298 2275480 2334160 2498840 3541012 3790838 3888596 4426265 4550960 4860745 4997680 7082024 7581676 7777192 8852530 9477095 9721490 10182773 14164048 15163352 15554384 17705060 18954190 19442980 20365546 30326704 35410120 37908380 38885960 40731092 50913865 70820240 75816760 77771920 81462184 101827730 151633520 158460287 162924368 203655460 308953297 316920574 339280001 407310920 617906594 633841148 678560002 792301435 814621840 1235813188 1267682296 1357120004 1544766485 1584602870 1696400005 2471626376 2535364592 2714240008 3089532970 3169205740 3392800010 4943252752 5428480016 6179065940 6338411480 6785600020 12358131880 12676822960 13571200040 24716263760 27142400080 55302640163 110605280326 221210560652 276513200815 442421121304 553026401630 884842242608 1106052803260 2212105606520 4424211213040