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4241243444040 = 2333519206688277
BaseRepresentation
bin111101101101111101110…
…011110001001101001000
3120000110101112210102111000
4331231331303301031020
51023442031310202130
613004222250135000
7615263652310161
oct75557563611510
916013345712430
104241243444040
11139577939a809
12585b93a21460
13249c41992965
141093c4bca768
15754d0184260
hex3db7dcf1348

4241243444040 has 128 divisors (see below), whose sum is σ = 14881556016000. Its totient is φ = 1071472022784.

The previous prime is 4241243444029. The next prime is 4241243444051. The reversal of 4241243444040 is 404443421424.

It is a happy number.

4241243444040 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 243 + 4 + 4 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4241243444029) and next prime (4241243444051).

It is a super-2 number, since 2×42412434440402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4241243443986 and 4241243444004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103323619 + ... + 103364658.

It is an arithmetic number, because the mean of its divisors is an integer number (116262156375).

Almost surely, 24241243444040 is an apocalyptic number.

4241243444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241243444040 is an abundant number, since it is smaller than the sum of its proper divisors (10640312571960).

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

4241243444040 is a wasteful number, since it uses less digits than its factorization.

4241243444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206688316 (or 206688306 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4241243444040 its reverse (404443421424), we get a palindrome (4645686865464).

The spelling of 4241243444040 in words is "four trillion, two hundred forty-one billion, two hundred forty-three million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 206688277 413376554 620064831 826753108 1033441385 1240129662 1653506216 1860194493 2066882770 2480259324 3100324155 3720388986 3927077263 4133765540 4960518648 5580583479 6200648310 7440777972 7854154526 8267531080 9300972465 11161166958 11781231789 12401296620 14881555944 15708309052 18601944930 19635386315 22322333916 23562463578 24802593240 27902917395 31416618104 35343695367 37203889860 39270772630 44644667832 47124927156 55805834790 58906158945 70687390734 74407779720 78541545260 94249854312 106031086101 111611669580 117812317890 141374781468 157083090520 176718476835 212062172202 223223339160 235624635780 282749562936 353436953670 424124344404 471249271560 530155430505 706873907340 848248688808 1060310861010 1413747814680 2120621722020 4241243444040