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140013233443440 = 2433579260134487
BaseRepresentation
bin11111110101011101011111…
…000010110001001001110000
3200100202010121222022010021000
4133311131133002301021300
5121322434100230142230
61213441105205402000
741330423306510610
oct3765353702611160
9610663558263230
10140013233443440
1140681308161165
1213853604709300
136018264278ac6
142680968a62a40
15112c0eb1a1b60
hex7f575f0b1270

140013233443440 has 160 divisors (see below), whose sum is σ = 551163204725760. Its totient is φ = 32003024783616.

The previous prime is 140013233443379. The next prime is 140013233443451. The reversal of 140013233443440 is 44344332310041.

140013233443440 is a `hidden beast` number, since 1 + 40 + 0 + 1 + 3 + 233 + 44 + 344 + 0 = 666.

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 = 140013233443395 and 140013233443404.

It is a congruent number.

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, 4630052124 + ... + 4630082363.

It is an arithmetic number, because the mean of its divisors is an integer number (3444770029536).

Almost surely, 2140013233443440 is an apocalyptic number.

140013233443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140013233443440 is an abundant number, since it is smaller than the sum of its proper divisors (411149971282320).

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

140013233443440 is a wasteful number, since it uses less digits than its factorization.

140013233443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260134516 (or 9260134504 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140013233443440 its reverse (44344332310041), we get a palindrome (184357565753481).

The spelling of 140013233443440 in words is "one hundred forty trillion, thirteen billion, two hundred thirty-three million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 9260134487 18520268974 27780403461 37040537948 46300672435 55560806922 64820941409 74081075896 83341210383 92601344870 111121613844 129641882818 138902017305 148162151792 166682420766 185202689740 194462824227 222243227688 250023631149 259283765636 277804034610 324104707045 333364841532 370405379480 388925648454 416706051915 444486455376 500047262298 518567531272 555608069220 583388472681 648209414090 666729683064 740810758960 777851296908 833412103830 972314121135 1000094524596 1037135062544 1111216138440 1166776945362 1250118155745 1296418828180 1333459366128 1555702593816 1666824207660 1750165418043 1944628242270 2000189049192 2222432276880 2333553890724 2500236311490 2592837656360 2916942363405 3111405187632 3333648415320 3500330836086 3889256484540 4000378098384 4667107781448 5000472622980 5185675312720 5833884726810 6667296830640 7000661672172 7778512969080 8750827090215 9334215562896 10000945245960 11667769453620 14001323344344 15557025938160 17501654180430 20001890491920 23335538907240 28002646688688 35003308360860 46671077814480 70006616721720 140013233443440