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3323004142240 = 255163354135983
BaseRepresentation
bin110000010110110010011…
…110110100001010100000
3102202200020212112210212101
4300112302132310022200
5413421003030022430
611022322251140144
7462036066110506
oct60266236641240
912680225483771
103323004142240
111071307231582
1245802b444654
131b148653b1a3
14b6b972c4676
155b68b77edca
hex305b27b42a0

3323004142240 has 96 divisors (see below), whose sum is σ = 7901210693376. Its totient is φ = 1320637271040.

The previous prime is 3323004142219. The next prime is 3323004142259. The reversal of 3323004142240 is 422414003233.

It is a super-2 number, since 2×33230041422402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323004142199 and 3323004142208.

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, 92331289 + ... + 92367271.

It is an arithmetic number, because the mean of its divisors is an integer number (82304278056).

Almost surely, 23323004142240 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 3323004142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950605346688).

3323004142240 is an abundant number, since it is smaller than the sum of its proper divisors (4578206551136).

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

3323004142240 is a wasteful number, since it uses less digits than its factorization.

3323004142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39702 (or 39694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3323004142240 its reverse (422414003233), we get a palindrome (3745418145473).

The spelling of 3323004142240 in words is "three trillion, three hundred twenty-three billion, four million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 3260 3541 5216 6520 7082 13040 14164 17705 26080 28328 35410 35983 56656 70820 71966 113312 141640 143932 179915 283280 287864 359830 566560 575728 577183 719660 1151456 1154366 1439320 2308732 2878640 2885915 4617464 5757280 5771830 5865229 9234928 11543660 11730458 18469856 23087320 23460916 29326145 46174640 46921832 58652290 92349280 93843664 117304580 127415803 187687328 234609160 254831606 469218320 509663212 637079015 938436640 1019326424 1274158030 2038652848 2548316060 4077305696 5096632120 10193264240 20386528480 20768775889 41537551778 83075103556 103843879445 166150207112 207687758890 332300414224 415375517780 664600828448 830751035560 1661502071120 3323004142240