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4409070297216 = 273133892270507
BaseRepresentation
bin100000000101001000100…
…0100011010000010000000
3120121111120200121220120220
41000022101010122002000
51034214233444002331
613213255434103040
7633354605110254
oct100122104320200
916544520556526
104409070297216
11144a970269572
125b261087aa80
1325ca0962ac40
14113585db6264
1579a53d19296
hex4029111a080

4409070297216 has 128 divisors (see below), whose sum is σ = 12644913153600. Its totient is φ = 1353148919808.

The previous prime is 4409070297161. The next prime is 4409070297239. The reversal of 4409070297216 is 6127920709044.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 806635 + ... + 3077141.

Almost surely, 24409070297216 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 4409070297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322456576800).

4409070297216 is an abundant number, since it is smaller than the sum of its proper divisors (8235842856384).

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

4409070297216 is a wasteful number, since it uses less digits than its factorization.

4409070297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270926 (or 2270914 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 4409070297216 in words is "four trillion, four hundred nine billion, seventy million, two hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 389 416 624 778 832 1167 1248 1556 1664 2334 2496 3112 4668 4992 5057 6224 9336 10114 12448 15171 18672 20228 24896 30342 37344 40456 49792 60684 74688 80912 121368 149376 161824 242736 323648 485472 647296 970944 1941888 2270507 4541014 6811521 9082028 13623042 18164056 27246084 29516591 36328112 54492168 59033182 72656224 88549773 108984336 118066364 145312448 177099546 217968672 236132728 290624896 354199092 435937344 472265456 708398184 871874688 883227223 944530912 1416796368 1766454446 1889061824 2649681669 2833592736 3532908892 3778123648 5299363338 5667185472 7065817784 10598726676 11334370944 11481953899 14131635568 21197453352 22963907798 28263271136 34445861697 42394906704 45927815596 56526542272 68891723394 84789813408 91855631192 113053084544 137783446788 169579626816 183711262384 275566893576 339159253632 367422524768 551133787152 734845049536 1102267574304 1469690099072 2204535148608 4409070297216