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3224314434040 = 235779271537877
BaseRepresentation
bin101110111010111000000…
…111011101000111111000
3102102020112000110012001121
4232322320013131013320
5410311343443342130
610505121332155024
7451643342325640
oct56727007350770
912366460405047
103224314434040
111033473493067
12440a88468a74
131a508932b04b
14b20b42a3520
1558d125b9d7a
hex2eeb81dd1f8

3224314434040 has 128 divisors (see below), whose sum is σ = 8427042201600. Its totient is φ = 1087456181760.

The previous prime is 3224314434017. The next prime is 3224314434059. The reversal of 3224314434040 is 404344134223.

It is a junction number, because it is equal to n+sod(n) for n = 3224314433987 and 3224314434005.

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, 5725582 + ... + 6263458.

It is an arithmetic number, because the mean of its divisors is an integer number (65836267200).

Almost surely, 23224314434040 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 3224314434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213521100800).

3224314434040 is an abundant number, since it is smaller than the sum of its proper divisors (5202727767560).

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

3224314434040 is a wasteful number, since it uses less digits than its factorization.

3224314434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538245 (or 538241 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 3224314434040 its reverse (404344134223), we get a palindrome (3628658568263).

The spelling of 3224314434040 in words is "three trillion, two hundred twenty-four billion, three hundred fourteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 271 280 316 395 542 553 632 790 1084 1106 1355 1580 1897 2168 2212 2710 2765 3160 3794 4424 5420 5530 7588 9485 10840 11060 15176 18970 21409 22120 37940 42818 75880 85636 107045 149863 171272 214090 299726 428180 537877 599452 749315 856360 1075754 1198904 1498630 2151508 2689385 2997260 3765139 4303016 5378770 5994520 7530278 10757540 15060556 18825695 21515080 30121112 37651390 42492283 75302780 84984566 145764667 150605560 169969132 212461415 291529334 297445981 339938264 424922830 583058668 594891962 728823335 849845660 1020352669 1166117336 1189783924 1457646670 1487229905 1699691320 2040705338 2379567848 2915293340 2974459810 4081410676 5101763345 5830586680 5948919620 8162821352 10203526690 11515408693 11897839240 20407053380 23030817386 40814106760 46061634772 57577043465 80607860851 92123269544 115154086930 161215721702 230308173860 322431443404 403039304255 460616347720 644862886808 806078608510 1612157217020 3224314434040