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4043255142240 = 253254951567121
BaseRepresentation
bin111010110101100100110…
…010010101011101100000
3112022112100101212121010100
4322311210302111131200
51012221041304022430
612333240141502400
7565054426436406
oct72654462253540
915275311777110
104043255142240
11131980a136206
12553739b71a00
1323437b385662
14dd9a1d6b476
1570293633960
hex3ad64c95760

4043255142240 has 144 divisors (see below), whose sum is σ = 13800419339616. Its totient is φ = 1077981696000.

The previous prime is 4043255142181. The next prime is 4043255142263. The reversal of 4043255142240 is 422415523404.

4043255142240 is a `hidden beast` number, since 4 + 0 + 4 + 325 + 51 + 42 + 240 = 666.

4043255142240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4043255142195 and 4043255142204.

It is a congruent number.

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, 6845880 + ... + 7413000.

It is an arithmetic number, because the mean of its divisors is an integer number (95836245414).

Almost surely, 24043255142240 is an apocalyptic number.

4043255142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4043255142240 is an abundant number, since it is smaller than the sum of its proper divisors (9757164197376).

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

4043255142240 is a wasteful number, since it uses less digits than its factorization.

4043255142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572093 (or 572082 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 4043255142240 in words is "four trillion, forty-three billion, two hundred fifty-five million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4951 9902 14853 19804 24755 29706 39608 44559 49510 59412 74265 79216 89118 99020 118824 148530 158432 178236 198040 222795 237648 297060 356472 396080 445590 475296 567121 594120 712944 792160 891180 1134242 1188240 1425888 1701363 1782360 2268484 2376480 2835605 3402726 3564720 4536968 5104089 5671210 6805452 7129440 8506815 9073936 10208178 11342420 13610904 17013630 18147872 20416356 22684840 25520445 27221808 34027260 40832712 45369680 51040890 54443616 68054520 81665424 90739360 102081780 136109040 163330848 204163560 272218080 408327120 816654240 2807816071 5615632142 8423448213 11231264284 14039080355 16846896426 22462528568 25270344639 28078160710 33693792852 42117241065 44925057136 50540689278 56156321420 67387585704 84234482130 89850114272 101081378556 112312642840 126351723195 134775171408 168468964260 202162757112 224625285680 252703446390 269550342816 336937928520 404325514224 449250571360 505406892780 673875857040 808651028448 1010813785560 1347751714080 2021627571120 4043255142240