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340222113120 = 25354117287709
BaseRepresentation
bin1001111001101101101…
…00010111010101100000
31012112011122221002011110
410330312310113111200
521033233330104440
6420143524343320
733403010150301
oct4746664272540
91175148832143
10340222113120
111213185711aa
1255b2b844b40
132610cc0b646
141267700a7a8
158cb391c080
hex4f36d17560

340222113120 has 96 divisors (see below), whose sum is σ = 1097838735840. Its totient is φ = 88513064960.

The previous prime is 340222113113. The next prime is 340222113137. The reversal of 340222113120 is 21311222043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3402221131202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 8624175 + ... + 8663534.

It is an arithmetic number, because the mean of its divisors is an integer number (11435820165).

Almost surely, 2340222113120 is an apocalyptic number.

340222113120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340222113120 is an abundant number, since it is smaller than the sum of its proper divisors (757616622720).

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

340222113120 is a wasteful number, since it uses less digits than its factorization.

340222113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17287768 (or 17287760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 340222113120 its reverse (21311222043), we get a palindrome (361533335163).

The spelling of 340222113120 in words is "three hundred forty billion, two hundred twenty-two million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 9840 19680 17287709 34575418 51863127 69150836 86438545 103726254 138301672 172877090 207452508 259315635 276603344 345754180 414905016 518631270 553206688 691508360 708796069 829810032 1037262540 1383016720 1417592138 1659620064 2074525080 2126388207 2766033440 2835184276 3543980345 4149050160 4252776414 5670368552 7087960690 8298100320 8505552828 10631941035 11340737104 14175921380 17011105656 21263882070 22681474208 28351842760 34022211312 42527764140 56703685520 68044422624 85055528280 113407371040 170111056560 340222113120