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140345334120 = 23352983485893
BaseRepresentation
bin1000001010110100111…
…0111101100101101000
3111102020220111200002210
42002231032331211220
54244411401142440
6144250155325120
713065613441215
oct2025516754550
9442226450083
10140345334120
115457a311842
12232494507a0
13103082a3504
146b15442b0c
1539b61d7a80
hex20ad3bd968

140345334120 has 128 divisors (see below), whose sum is σ = 440803036800. Its totient is φ = 35699457024.

The previous prime is 140345334119. The next prime is 140345334131. The reversal of 140345334120 is 21433543041.

140345334120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45894 + ... + 531786.

It is an arithmetic number, because the mean of its divisors is an integer number (3443773725).

Almost surely, 2140345334120 is an apocalyptic number.

140345334120 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 140345334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220401518400).

140345334120 is an abundant number, since it is smaller than the sum of its proper divisors (300457702680).

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

140345334120 is a wasteful number, since it uses less digits than its factorization.

140345334120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486019 (or 486015 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 140345334120 its reverse (21433543041), we get a palindrome (161778877161).

The spelling of 140345334120 in words is "one hundred forty billion, three hundred forty-five million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 83 87 116 120 145 166 174 232 249 290 332 348 415 435 498 580 664 696 830 870 996 1160 1245 1660 1740 1992 2407 2490 3320 3480 4814 4980 7221 9628 9960 12035 14442 19256 24070 28884 36105 48140 57768 72210 96280 144420 288840 485893 971786 1457679 1943572 2429465 2915358 3887144 4858930 5830716 7288395 9717860 11661432 14090897 14576790 19435720 28181794 29153580 40329119 42272691 56363588 58307160 70454485 80658238 84545382 112727176 120987357 140908970 161316476 169090764 201645595 211363455 241974714 281817940 322632952 338181528 403291190 422726910 483949428 563635880 604936785 806582380 845453820 967898856 1169544451 1209873570 1613164760 1690907640 2339088902 2419747140 3508633353 4678177804 4839494280 5847722255 7017266706 9356355608 11695444510 14034533412 17543166765 23390889020 28069066824 35086333530 46781778040 70172667060 140345334120