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4034104132240 = 245721379162169
BaseRepresentation
bin111010101101000011010…
…110000000001010010000
3112021122201122122010100001
4322231003112000022100
51012043321124212430
612325124123535344
7564311601231100
oct72550326001220
915248648563301
104034104132240
111315943682a26
12551a0538a554
13233550541840
14dd374887200
156ee0a0783ca
hex3ab43580290

4034104132240 has 120 divisors (see below), whose sum is σ = 11749882568760. Its totient is φ = 1276727445504.

The previous prime is 4034104132217. The next prime is 4034104132283. The reversal of 4034104132240 is 422314014304.

It can be written as a sum of positive squares in 4 ways, for example, as 38646841744 + 3995457290496 = 196588^2 + 1998864^2 .

It is a super-2 number, since 2×40341041322402 (a number of 26 digits) contains 22 as substring.

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 = 4034104132199 and 4034104132208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39530125 + ... + 39632044.

It is an arithmetic number, because the mean of its divisors is an integer number (97915688073).

Almost surely, 24034104132240 is an apocalyptic number.

4034104132240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034104132240 is an abundant number, since it is smaller than the sum of its proper divisors (7715778436520).

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

4034104132240 is a wasteful number, since it uses less digits than its factorization.

4034104132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79162209 (or 79162196 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4034104132240 its reverse (422314014304), we get a palindrome (4456418146544).

The spelling of 4034104132240 in words is "four trillion, thirty-four billion, one hundred four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2548 3185 3640 3920 5096 6370 7280 10192 12740 25480 50960 79162169 158324338 316648676 395810845 554135183 633297352 791621690 1029108197 1108270366 1266594704 1583243380 2058216394 2216540732 2770675915 3166486760 3878946281 4116432788 4433081464 5145540985 5541351830 6332973520 7203757379 7757892562 8232865576 8866162928 10291081970 11082703660 14407514758 15515785124 16465731152 19394731405 20582163940 22165407320 28815029516 31031570248 36018786895 38789462810 41164327880 44330814640 50426301653 57630059032 62063140496 72037573790 77578925620 82328655760 100852603306 115260118064 144075147580 155157851240 201705206612 252131508265 288150295160 310315702480 403410413224 504263016530 576300590320 806820826448 1008526033060 2017052066120 4034104132240