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140112303200 = 25525926311287
BaseRepresentation
bin1000001001111101011…
…0000001010001100000
3111101122200000110202222
42002133112001101200
54243422222200300
6144211112530212
713060053632612
oct2023726012140
9441580013688
10140112303200
115446a819201
12231a33b0968
131029bc227ac
146ad2502db2
1539a0a06785
hex209f581460

140112303200 has 144 divisors (see below), whose sum is σ = 349200149760. Its totient is φ = 54880657920.

The previous prime is 140112303173. The next prime is 140112303223. The reversal of 140112303200 is 2303211041.

140112303200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 12407957 + ... + 12419243.

It is an arithmetic number, because the mean of its divisors is an integer number (2425001040).

Almost surely, 2140112303200 is an apocalyptic number.

140112303200 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 140112303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174600074880).

140112303200 is an abundant number, since it is smaller than the sum of its proper divisors (209087846560).

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

140112303200 is a wasteful number, since it uses less digits than its factorization.

140112303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11629 (or 11616 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 140112303200 its reverse (2303211041), we get a palindrome (142415514241).

The spelling of 140112303200 in words is "one hundred forty billion, one hundred twelve million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 59 80 100 118 160 200 236 263 295 400 472 526 590 800 944 1052 1180 1315 1475 1888 2104 2360 2630 2950 4208 4720 5260 5900 6575 8416 9440 10520 11287 11800 13150 15517 21040 22574 23600 26300 31034 42080 45148 47200 52600 56435 62068 77585 90296 105200 112870 124136 155170 180592 210400 225740 248272 282175 310340 361184 387925 451480 496544 564350 620680 665933 775850 902960 1128700 1241360 1331866 1551700 1805920 2257400 2482720 2663732 2968481 3103400 3329665 4514800 5327464 5936962 6206800 6659330 9029600 10654928 11873924 12413600 13318660 14842405 16648325 21309856 23747848 26637320 29684810 33296650 47495696 53274640 59369620 66593300 74212025 94991392 106549280 118739240 133186600 148424050 175140379 237478480 266373200 296848100 350280758 474956960 532746400 593696200 700561516 875701895 1187392400 1401123032 1751403790 2374784800 2802246064 3502807580 4378509475 5604492128 7005615160 8757018950 14011230320 17514037900 28022460640 35028075800 70056151600 140112303200