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140244332113440 = 2533532463965767
BaseRepresentation
bin11111111000110100101101…
…100110001110111000100000
3200101120020010122012221001000
4133320310231212032320200
5121340230343010112230
61214135205020112000
741353214201010162
oct3770645546167040
9611506118187030
10140244332113440
1140760318352425
121389035b095600
136033ca3466559
14268bc0d062932
151133124921b60
hex7f8d2d98ee20

140244332113440 has 96 divisors (see below), whose sum is σ = 490855162412160. Its totient is φ = 37398488562432.

The previous prime is 140244332113433. The next prime is 140244332113441. The reversal of 140244332113440 is 44311233442041.

140244332113440 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 433 + 211 + 3 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140244332113395 and 140244332113404.

It is not an unprimeable number, because it can be changed into a prime (140244332113441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16231978564 + ... + 16231987203.

It is an arithmetic number, because the mean of its divisors is an integer number (5113074608460).

Almost surely, 2140244332113440 is an apocalyptic number.

140244332113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140244332113440 is an abundant number, since it is smaller than the sum of its proper divisors (350610830298720).

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

140244332113440 is a wasteful number, since it uses less digits than its factorization.

140244332113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32463965791 (or 32463965777 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140244332113440 its reverse (44311233442041), we get a palindrome (184555565555481).

The spelling of 140244332113440 in words is "one hundred forty trillion, two hundred forty-four billion, three hundred thirty-two million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 32463965767 64927931534 97391897301 129855863068 162319828835 194783794602 259711726136 292175691903 324639657670 389567589204 486959486505 519423452272 584351383806 649279315340 779135178408 876527075709 973918973010 1038846904544 1168702767612 1298558630680 1460878459515 1558270356816 1753054151418 1947837946020 2337405535224 2597117261360 2921756919030 3116540713632 3506108302836 3895675892040 4382635378545 4674811070448 5194234522720 5843513838060 7012216605672 7791351784080 8765270757090 9349622140896 11687027676120 14024433211344 15582703568160 17530541514180 23374055352240 28048866422688 35061083028360 46748110704480 70122166056720 140244332113440