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3314123311240 = 2357231447355643
BaseRepresentation
bin110000001110100001001…
…001001000100010001000
3102201211022221200211222201
4300032201021020202020
5413244311031424430
611014253124125544
7461303031230110
oct60164111104210
912654287624881
103314123311240
11106856a234825
124563712368b4
131b069c6837c1
14b6593a50040
155b31bc928ca
hex303a1248888

3314123311240 has 128 divisors (see below), whose sum is σ = 8898725007360. Its totient is φ = 1086113597184.

The previous prime is 3314123311231. The next prime is 3314123311253. The reversal of 3314123311240 is 421133214133.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3314123311199 and 3314123311208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9140859 + ... + 9496501.

It is an arithmetic number, because the mean of its divisors is an integer number (69521289120).

Almost surely, 23314123311240 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 3314123311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449362503680).

3314123311240 is an abundant number, since it is smaller than the sum of its proper divisors (5584601696120).

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

3314123311240 is a wasteful number, since it uses less digits than its factorization.

3314123311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357131 (or 357127 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 3314123311240 its reverse (421133214133), we get a palindrome (3735256525373).

The spelling of 3314123311240 in words is "three trillion, three hundred fourteen billion, one hundred twenty-three million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1447 1610 2894 3220 5788 6440 7235 10129 11576 14470 20258 28940 33281 40516 50645 57880 66562 81032 101290 133124 166405 202580 232967 266248 332810 355643 405160 465934 665620 711286 931868 1164835 1331240 1422572 1778215 1863736 2329670 2489501 2845144 3556430 4659340 4979002 7112860 8179789 9318680 9958004 12447505 14225720 16359578 19916008 24895010 32719156 40898945 49790020 57258523 65438312 81797890 99580040 114517046 163595780 229034092 286292615 327191560 458068184 514615421 572585230 1029230842 1145170460 2058461684 2290340920 2573077105 3602307947 4116923368 5146154210 7204615894 10292308420 11836154683 14409231788 18011539735 20584616840 23672309366 28818463576 36023079470 47344618732 59180773415 72046158940 82853082781 94689237464 118361546830 144092317880 165706165562 236723093660 331412331124 414265413905 473446187320 662824662248 828530827810 1657061655620 3314123311240