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2140311032140 = 2251937983917713
BaseRepresentation
bin11111001001010100011…
…110101001000101001100
321120121111221210210121011
4133021110132221011030
5240031324111012030
64315124553215004
7310426621412431
oct37112436510514
97517457723534
102140311032140
11755778863a86
122a6981a01464
13126aa46b7748
147583d523b88
153aa1b18bb2a
hex1f2547a914c

2140311032140 has 96 divisors (see below), whose sum is σ = 4749619392000. Its totient is φ = 807915451392.

The previous prime is 2140311032081. The next prime is 2140311032173. The reversal of 2140311032140 is 412301130412.

It is a super-2 number, since 2×21403110321402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120823924 + ... + 120841636.

It is an arithmetic number, because the mean of its divisors is an integer number (49475202000).

Almost surely, 22140311032140 is an apocalyptic number.

2140311032140 is a gapful number since it is divisible by the number (20) 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 2140311032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374809696000).

2140311032140 is an abundant number, since it is smaller than the sum of its proper divisors (2609308359860).

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

2140311032140 is a wasteful number, since it uses less digits than its factorization.

2140311032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18959 (or 18957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2140311032140 its reverse (412301130412), we get a palindrome (2552612162552).

The spelling of 2140311032140 in words is "two trillion, one hundred forty billion, three hundred eleven million, thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 379 380 758 839 1516 1678 1895 3356 3790 4195 7201 7580 8390 14402 15941 16780 17713 28804 31882 35426 36005 63764 70852 72010 79705 88565 144020 159410 177130 317981 318820 336547 354260 635962 673094 1271924 1346188 1589905 1682735 3179810 3365470 6041639 6359620 6713227 6730940 12083278 13426454 14861207 24166556 26852908 29722414 30208195 33566135 59444828 60416390 67132270 74306035 120832780 127551313 134264540 148612070 255102626 282362933 297224140 510205252 564725866 637756565 1129451732 1275513130 1411814665 2551026260 2823629330 5632397453 5647258660 11264794906 22529589812 28161987265 56323974530 107015551607 112647949060 214031103214 428062206428 535077758035 1070155516070 2140311032140