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140012023342140 = 2232515738312935833
BaseRepresentation
bin11111110101011100010110…
…111010100110010000111100
3200100202000111122021121100100
4133311130112322212100330
5121322424110433422030
61213440345141001100
741330351314021515
oct3765342672462074
9610660448247310
10140012023342140
1140680847086144
12138533273b3190
136018100658931
142680892063a0c
15112c079d1d360
hex7f5716ea643c

140012023342140 has 144 divisors (see below), whose sum is σ = 428524234564608. Its totient is φ = 37001860826112.

The previous prime is 140012023342127. The next prime is 140012023342189. The reversal of 140012023342140 is 41243320210041.

140012023342140 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 2 + 0 + 233 + 421 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4355664 + ... + 17291496.

It is an arithmetic number, because the mean of its divisors is an integer number (2975862740032).

Almost surely, 2140012023342140 is an apocalyptic number.

140012023342140 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 140012023342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214262117282304).

140012023342140 is an abundant number, since it is smaller than the sum of its proper divisors (288512211222468).

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

140012023342140 is a wasteful number, since it uses less digits than its factorization.

140012023342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936388 (or 12936383 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140012023342140 its reverse (41243320210041), we get a palindrome (181255343552181).

The spelling of 140012023342140 in words is "one hundred forty trillion, twelve billion, twenty-three million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 383 471 628 766 785 942 1149 1413 1532 1570 1884 1915 2298 2355 2826 3140 3447 3830 4596 4710 5652 5745 6894 7065 7660 9420 11490 13788 14130 17235 22980 28260 34470 60131 68940 120262 180393 240524 300655 360786 541179 601310 721572 901965 1082358 1202620 1803930 2164716 2705895 3607860 5411790 10823580 12935833 25871666 38807499 51743332 64679165 77614998 116422497 129358330 155229996 194037495 232844994 258716660 388074990 465689988 582112485 776149980 1164224970 2030925781 2328449940 4061851562 4954424039 6092777343 8123703124 9908848078 10154628905 12185554686 14863272117 18278332029 19817696156 20309257810 24371109372 24772120195 29726544234 30463886715 36556664058 40618515620 44589816351 49544240390 59453088468 60927773430 73113328116 74316360585 89179632702 91391660145 99088480780 121855546860 148632721170 178359265404 182783320290 222949081755 297265442340 365566640580 445898163510 777844574123 891796327020 1555689148246 2333533722369 3111378296492 3889222870615 4667067444738 7000601167107 7778445741230 9334134889476 11667668611845 14001202334214 15556891482460 23335337223690 28002404668428 35003005835535 46670674447380 70006011671070 140012023342140