Search a number
-
+
3443540450120 = 2357121135916007
BaseRepresentation
bin110010000111000011000…
…000010101101101001000
3110012012101020212200110122
4302013003000111231020
5422404332323400440
611153535102402412
7503534066606651
oct62070300255510
913165336780418
103443540450120
1111084408a1751
1247746a890408
131bc9558807a4
14bc94d954528
155e8938717b5
hex321c3015b48

3443540450120 has 128 divisors (see below), whose sum is σ = 7916814028800. Its totient is φ = 1347730809600.

The previous prime is 3443540450041. The next prime is 3443540450123. The reversal of 3443540450120 is 210540453443.

It is a super-2 number, since 2×34435404501202 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3443540450123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215119157 + ... + 215135163.

It is an arithmetic number, because the mean of its divisors is an integer number (61850109600).

Almost surely, 23443540450120 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 3443540450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958407014400).

3443540450120 is an abundant number, since it is smaller than the sum of its proper divisors (4473273578680).

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

3443540450120 is a wasteful number, since it uses less digits than its factorization.

3443540450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16659 (or 16655 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 3443540450120 in words is "three trillion, four hundred forty-three billion, five hundred forty million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 211 284 355 359 422 568 710 718 844 1055 1420 1436 1688 1795 2110 2840 2872 3590 4220 7180 8440 14360 14981 16007 25489 29962 32014 50978 59924 64028 74905 75749 80035 101956 119848 127445 128056 149810 151498 160070 203912 254890 299620 302996 320140 378745 509780 599240 605992 640280 757490 1019560 1136497 1514980 2272994 3029960 3377477 4545988 5378179 5682485 5746513 6754954 9091976 10756358 11364970 11493026 13509908 16887385 21512716 22729940 22986052 26890895 27019816 28732565 33774770 43025432 45459880 45972104 53781790 57465130 67549540 107563580 114930260 135099080 215127160 229860520 239800867 408002423 479601734 816004846 959203468 1199004335 1212514243 1632009692 1918406936 2040012115 2398008670 2425028486 3264019384 4080024230 4796017340 4850056972 6062571215 8160048460 9592034680 9700113944 12125142430 16320096920 24250284860 48500569720 86088511253 172177022506 344354045012 430442556265 688708090024 860885112530 1721770225060 3443540450120