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140412035120 = 24571409177953
BaseRepresentation
bin1000001011000100110…
…1011010000000110000
3111102102120000102200012
42002301031122000300
54300030440110440
6144300541114052
713100353414610
oct2026115320060
9442376012605
10140412035120
1154603a2a235
1223267858928
1310319058566
146b20246a40
1539bbeb0e65
hex20b135a030

140412035120 has 80 divisors (see below), whose sum is σ = 373361728320. Its totient is φ = 48106831872.

The previous prime is 140412035119. The next prime is 140412035171. The reversal of 140412035120 is 21530214041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1404120351202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700064 + ... + 878016.

It is an arithmetic number, because the mean of its divisors is an integer number (4667021604).

Almost surely, 2140412035120 is an apocalyptic number.

140412035120 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 140412035120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186680864160).

140412035120 is an abundant number, since it is smaller than the sum of its proper divisors (232949693200).

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

140412035120 is a wasteful number, since it uses less digits than its factorization.

140412035120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179382 (or 179376 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 140412035120 its reverse (21530214041), we get a palindrome (161942249161).

The spelling of 140412035120 in words is "one hundred forty billion, four hundred twelve million, thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1409 2818 5636 7045 9863 11272 14090 19726 22544 28180 39452 49315 56360 78904 98630 112720 157808 177953 197260 355906 394520 711812 789040 889765 1245671 1423624 1779530 2491342 2847248 3559060 4982684 6228355 7118120 9965368 12456710 14236240 19930736 24913420 49826840 99653680 250735777 501471554 1002943108 1253678885 1755150439 2005886216 2507357770 3510300878 4011772432 5014715540 7020601756 8775752195 10029431080 14041203512 17551504390 20058862160 28082407024 35103008780 70206017560 140412035120