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3314202034440 = 23351121311178207
BaseRepresentation
bin110000001110100101110…
…101011100000100001000
3102201211112102211101220210
4300032211311130010020
5413244441210100230
611014305015321120
7461305005324603
oct60164565340410
912654472741823
103314202034440
1110685aa713720
124563936801a0
131b06b2a8798b
14b65a02a333a
155b323b42eb0
hex303a5d5c108

3314202034440 has 128 divisors (see below), whose sum is σ = 10851578449920. Its totient is φ = 803065209600.

The previous prime is 3314202034411. The next prime is 3314202034453. The reversal of 3314202034440 is 444302024133.

It is a happy number.

It is a super-2 number, since 2×33142020344402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3314202034398 and 3314202034407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223817 + ... + 3402023.

It is an arithmetic number, because the mean of its divisors is an integer number (84777956640).

Almost surely, 23314202034440 is an apocalyptic number.

3314202034440 is a gapful number since it is divisible by the number (30) 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 3314202034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425789224960).

3314202034440 is an abundant number, since it is smaller than the sum of its proper divisors (7537376415480).

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

3314202034440 is a wasteful number, since it uses less digits than its factorization.

3314202034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180363 (or 1180359 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3314202034440 its reverse (444302024133), we get a palindrome (3758504058573).

The spelling of 3314202034440 in words is "three trillion, three hundred fourteen billion, two hundred two million, thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 2131 4262 6393 8524 10655 12786 17048 21310 23441 25572 31965 42620 46882 51144 63930 70323 85240 93764 117205 127860 140646 187528 234410 255720 281292 351615 468820 562584 703230 937640 1178207 1406460 2356414 2812920 3534621 4712828 5891035 7069242 9425656 11782070 12960277 14138484 17673105 23564140 25920554 28276968 35346210 38880831 47128280 51841108 64801385 70692420 77761662 103682216 129602770 141384840 155523324 194404155 259205540 311046648 388808310 518411080 777616620 1555233240 2510759117 5021518234 7532277351 10043036468 12553795585 15064554702 20086072936 25107591170 27618350287 30129109404 37661386755 50215182340 55236700574 60258218808 75322773510 82855050861 100430364680 110473401148 138091751435 150645547020 165710101722 220946802296 276183502870 301291094040 331420203444 414275254305 552367005740 662840406888 828550508610 1104734011480 1657101017220 3314202034440