Search a number
-
+
140014031123040 = 2535862933804137
BaseRepresentation
bin11111110101011110001110…
…100101101011001001100000
3200100202012200120021102221220
4133311132032211223021200
5121322442213431414130
61213441320302415040
741330452133621244
oct3765361645531140
9610665616242856
10140014031123040
11406816874576a8
12138537a7891480
1360183605c8779
142680a02986424
15112c14621b410
hex7f578e96b260

140014031123040 has 96 divisors (see below), whose sum is σ = 441095322941280. Its totient is φ = 37332746932224.

The previous prime is 140014031123033. The next prime is 140014031123129. The reversal of 140014031123040 is 40321130410041.

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

It is a super-2 number, since 2×1400140311230402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140014031123040.

It is a congruent number.

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, 12760149 + ... + 21043988.

It is an arithmetic number, because the mean of its divisors is an integer number (4594742947305).

Almost surely, 2140014031123040 is an apocalyptic number.

140014031123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140014031123040 is an abundant number, since it is smaller than the sum of its proper divisors (301081291818240).

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

140014031123040 is a wasteful number, since it uses less digits than its factorization.

140014031123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33812784 (or 33812776 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 140014031123040 its reverse (40321130410041), we get a palindrome (180335161533081).

The spelling of 140014031123040 in words is "one hundred forty trillion, fourteen billion, thirty-one million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8629 17258 25887 34516 43145 51774 69032 86290 103548 129435 138064 172580 207096 258870 276128 345160 414192 517740 690320 828384 1035480 1380640 2070960 4141920 33804137 67608274 101412411 135216548 169020685 202824822 270433096 338041370 405649644 507062055 540866192 676082740 811299288 1014124110 1081732384 1352165480 1622598576 2028248220 2704330960 3245197152 4056496440 5408661920 8112992880 16225985760 291695898173 583391796346 875087694519 1166783592692 1458479490865 1750175389038 2333567185384 2916958981730 3500350778076 4375438472595 4667134370768 5833917963460 7000701556152 8750876945190 9334268741536 11667835926920 14001403112304 17501753890380 23335671853840 28002806224608 35003507780760 46671343707680 70007015561520 140014031123040