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140244245120 = 275797322727
BaseRepresentation
bin1000001010011100110…
…1010101101010000000
3111101222212021211001202
42002213031111222000
54244210011320440
6144232144520332
713063245262130
oct2024715255200
9441885254052
10140244245120
1154528247111
122321b6200a8
13102c036b135
146b05c4aac0
1539ac3ba615
hex20a7355a80

140244245120 has 128 divisors (see below), whose sum is σ = 387118690560. Its totient is φ = 47587885056.

The previous prime is 140244245093. The next prime is 140244245131. The reversal of 140244245120 is 21542442041.

It is a happy number.

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

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, 273197 + ... + 595923.

It is an arithmetic number, because the mean of its divisors is an integer number (3024364770).

Almost surely, 2140244245120 is an apocalyptic number.

140244245120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140244245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193559345280).

140244245120 is an abundant number, since it is smaller than the sum of its proper divisors (246874445440).

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

140244245120 is an equidigital number, since it uses as much as digits as its factorization.

140244245120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322850 (or 322838 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 140244245120 its reverse (21542442041), we get a palindrome (161786687161).

The spelling of 140244245120 in words is "one hundred forty billion, two hundred forty-four million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 97 112 128 140 160 194 224 280 320 388 448 485 560 640 679 776 896 970 1120 1358 1552 1940 2240 2716 3104 3395 3880 4480 5432 6208 6790 7760 10864 12416 13580 15520 21728 27160 31040 43456 54320 62080 86912 108640 217280 322727 434560 645454 1290908 1613635 2259089 2581816 3227270 4518178 5163632 6454540 9036356 10327264 11295445 12909080 18072712 20654528 22590890 25818160 31304519 36145424 41309056 45181780 51636320 62609038 72290848 90363560 103272640 125218076 144581696 156522595 180727120 206545280 219131633 250436152 289163392 313045190 361454240 438263266 500872304 626090380 722908480 876526532 1001744608 1095658165 1252180760 1445816960 1753053064 2003489216 2191316330 2504361520 3506106128 4006978432 4382632660 5008723040 7012212256 8765265320 10017446080 14024424512 17530530640 20034892160 28048849024 35061061280 70122122560 140244245120