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140240031410440 = 235131933074292209
BaseRepresentation
bin11111111000110000101101…
…010000010110100100001000
3200101112211000220200120121201
4133320300231100112210020
5121340143041020113230
61214133214145113544
741353002466435363
oct3770605520264410
9611484026616551
10140240031410440
1140759510754625
121388b55a9288b4
13603376945c090
14268b921bd50da
151132e7209e5ca
hex7f8c2d416908

140240031410440 has 128 divisors (see below), whose sum is σ = 357805493136000. Its totient is φ = 49040777023488.

The previous prime is 140240031410431. The next prime is 140240031410471. The reversal of 140240031410440 is 44014130042041.

It is a junction number, because it is equal to n+sod(n) for n = 140240031410399 and 140240031410408.

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, 30527056 + ... + 34819264.

It is an arithmetic number, because the mean of its divisors is an integer number (2795355415125).

Almost surely, 2140240031410440 is an apocalyptic number.

140240031410440 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 140240031410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178902746568000).

140240031410440 is an abundant number, since it is smaller than the sum of its proper divisors (217565461725560).

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

140240031410440 is a wasteful number, since it uses less digits than its factorization.

140240031410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295559 (or 4295555 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 140240031410440 its reverse (44014130042041), we get a palindrome (184254161452481).

The spelling of 140240031410440 in words is "one hundred forty trillion, two hundred forty billion, thirty-one million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1976 2470 3307 4940 6614 9880 13228 16535 26456 33070 42991 62833 66140 85982 125666 132280 171964 214955 251332 314165 343928 429910 502664 628330 816829 859820 1256660 1633658 1719640 2513320 3267316 4084145 4292209 6534632 8168290 8584418 16336580 17168836 21461045 32673160 34337672 42922090 55798717 81551971 85844180 111597434 163103942 171688360 223194868 278993585 326207884 407759855 446389736 557987170 652415768 815519710 1060175623 1115974340 1631039420 2120351246 2231948680 3262078840 4240702492 5300878115 8481404984 10601756230 14194335163 21203512460 28388670326 42407024920 56777340652 70971675815 113554681304 141943351630 184526357119 269692368097 283886703260 369052714238 539384736194 567773406520 738105428476 922631785595 1078769472388 1348461840485 1476210856952 1845263571190 2157538944776 2696923680970 3506000785261 3690527142380 5393847361940 7012001570522 7381054284760 10787694723880 14024003141044 17530003926305 28048006282088 35060007852610 70120015705220 140240031410440