Search a number
-
+
140442230234240 = 2751132561612671
BaseRepresentation
bin11111111011101101000001…
…001111101001110010000000
3200102021010221111110002022122
4133323231001033221302000
5121402001141414443430
61214410134143423412
741403421250202404
oct3773550117516200
9612233844402278
10140442230234240
1140827240711680
121390278a8b4b68
13604985118a40c
142697623d29104
1511383585abee5
hex7fbb413e9c80

140442230234240 has 128 divisors (see below), whose sum is σ = 366278799191040. Its totient is φ = 51068250112000.

The previous prime is 140442230234237. The next prime is 140442230234311. The reversal of 140442230234240 is 42432032244041.

140442230234240 is digitally balanced in base 3, 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 (128).

It is a self number, because there is not a number n which added to its sum of digits gives 140442230234240.

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, 228923105 + ... + 229535775.

It is an arithmetic number, because the mean of its divisors is an integer number (2861553118680).

Almost surely, 2140442230234240 is an apocalyptic number.

140442230234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140442230234240 is an abundant number, since it is smaller than the sum of its proper divisors (225836568956800).

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

140442230234240 is a wasteful number, since it uses less digits than its factorization.

140442230234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645262 (or 645250 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 140442230234240 its reverse (42432032244041), we get a palindrome (182874262478281).

The spelling of 140442230234240 in words is "one hundred forty trillion, four hundred forty-two billion, two hundred thirty million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 32561 65122 130244 162805 260488 325610 358171 520976 612671 651220 716342 1041952 1225342 1302440 1432684 1790855 2083904 2450684 2604880 2865368 3063355 3581710 4167808 4901368 5209760 5730736 6126710 6739381 7163420 9802736 10419520 11461472 12253420 13478762 14326840 19605472 20839040 22922944 24506840 26957524 28653680 33696905 39210944 45845888 49013680 53915048 57307360 67393810 78421888 98027360 107830096 114614720 134787620 196054720 215660192 229229440 269575240 392109440 431320384 539150480 862640768 1078300960 2156601920 4313203840 19949180431 39898360862 79796721724 99745902155 159593443448 199491804310 219440984741 319186886896 398983608620 438881969482 638373773792 797967217240 877763938964 1097204923705 1276747547584 1595934434480 1755527877928 2194409847410 2553495095168 3191868868960 3511055755856 4388819694820 6383737737920 7022111511712 8777639389640 12767475475840 14044223023424 17555278779280 28088446046848 35110557558560 70221115117120 140442230234240