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140131341053312 = 2771979710327979
BaseRepresentation
bin11111110111001011011110…
…110011100010110110000000
3200101011102111002121100112012
4133313023132303202312000
5121331402441302201222
61214011241021352052
741342104156566620
oct3767133663426600
9611142432540465
10140131341053312
11407174058985a4
1213872486708628
1360264373952ab
142686570922880
15113020ee4e1e2
hex7f72dece2d80

140131341053312 has 128 divisors (see below), whose sum is σ = 336262504032000. Its totient is φ = 56824039213056.

The previous prime is 140131341053047. The next prime is 140131341053321. The reversal of 140131341053312 is 213350143131041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 8404139 + ... + 18732117.

It is an arithmetic number, because the mean of its divisors is an integer number (2627050812750).

Almost surely, 2140131341053312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140131341053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168131252016000).

140131341053312 is an abundant number, since it is smaller than the sum of its proper divisors (196131162978688).

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

140131341053312 is a wasteful number, since it uses less digits than its factorization.

140131341053312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328816 (or 10328804 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 140131341053312 its reverse (213350143131041), we get a palindrome (353481484184353).

The spelling of 140131341053312 in words is "one hundred forty trillion, one hundred thirty-one billion, three hundred forty-one million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 797 896 1064 1216 1594 2128 2432 3188 4256 5579 6376 8512 11158 12752 15143 17024 22316 25504 30286 44632 51008 60572 89264 102016 106001 121144 178528 212002 242288 357056 424004 484576 714112 848008 969152 1696016 1938304 3392032 6784064 10327979 13568128 20655958 41311916 72295853 82623832 144591706 165247664 196231601 289183412 330495328 392463202 578366824 660990656 784926404 1156733648 1321981312 1373621207 1569852808 2313467296 2747242414 3139705616 4626934592 5494484828 6279411232 8231399263 9253869184 10988969656 12558822464 16462798526 21977939312 25117644928 32925597052 43955878624 57619794841 65851194104 87911757248 115239589682 131702388208 156396585997 175823514496 230479179364 263404776416 312793171994 460958358728 526809552832 625586343988 921916717456 1053619105664 1094776101979 1251172687976 1843833434912 2189552203958 2502345375952 3687666869824 4379104407916 5004690751904 7375333739648 8758208815832 10009381503808 17516417631664 20018763007616 35032835263328 70065670526656 140131341053312