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140342231312200 = 23521794678394377
BaseRepresentation
bin11111111010001111111000…
…110110000010011101001000
3200101220120211101211111202101
4133322033320312002131020
5121343331342203442300
61214252155255443144
741363251215323551
oct3772177066023510
9611816741744671
10140342231312200
1140798895952455
12138a73213864b4
1360402a5967528
1426928590a9328
1511359544d6b6a
hex7fa3f8d82748

140342231312200 has 96 divisors (see below), whose sum is σ = 328821217264800. Its totient is φ = 55703736035840.

The previous prime is 140342231312189. The next prime is 140342231312209. The reversal of 140342231312200 is 2213132243041.

It is not an unprimeable number, because it can be changed into a prime (140342231312209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12521412 + ... + 20915788.

It is an arithmetic number, because the mean of its divisors is an integer number (3425221013175).

Almost surely, 2140342231312200 is an apocalyptic number.

140342231312200 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 140342231312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164410608632400).

140342231312200 is an abundant number, since it is smaller than the sum of its proper divisors (188478985952600).

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

140342231312200 is a wasteful number, since it uses less digits than its factorization.

140342231312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395039 (or 8395030 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 140342231312200 its reverse (2213132243041), we get a palindrome (142555363555241).

The spelling of 140342231312200 in words is "one hundred forty trillion, three hundred forty-two billion, two hundred thirty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 179 200 358 467 716 895 934 1432 1790 1868 2335 3580 3736 4475 4670 7160 8950 9340 11675 17900 18680 23350 35800 46700 83593 93400 167186 334372 417965 668744 835930 1671860 2089825 3343720 4179650 8359300 8394377 16718600 16788754 33577508 41971885 67155016 83943770 167887540 209859425 335775080 419718850 839437700 1502593483 1678875400 3005186966 3920174059 6010373932 7512967415 7840348118 12020747864 15025934830 15680696236 19600870295 30051869660 31361392472 37564837075 39201740590 60103739320 75129674150 78403481180 98004351475 150259348300 156806962360 196008702950 300518696600 392017405900 701711156561 784034811800 1403422313122 2806844626244 3508555782805 5613689252488 7017111565610 14034223131220 17542778914025 28068446262440 35085557828050 70171115656100 140342231312200