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1140431211420 = 2235471182134211
BaseRepresentation
bin10000100110000110111…
…111110100101110011100
311001000122121112010002120
4100212012333310232130
5122141100342231140
62231523514422540
7145251643232334
oct20460677645634
94030577463076
101140431211420
113aa721762606
12165034131a50
13837082a9607
143d2a90420c4
151e9ea2641d0
hex10986ff4b9c

1140431211420 has 96 divisors (see below), whose sum is σ = 3261519184896. Its totient is φ = 297610579200.

The previous prime is 1140431211407. The next prime is 1140431211421. The reversal of 1140431211420 is 241121340411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140431211421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33318115 + ... + 33352325.

It is an arithmetic number, because the mean of its divisors is an integer number (33974158176).

Almost surely, 21140431211420 is an apocalyptic number.

1140431211420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140431211420 is an abundant number, since it is smaller than the sum of its proper divisors (2121087973476).

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

1140431211420 is a wasteful number, since it uses less digits than its factorization.

1140431211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46091 (or 46089 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1140431211420 its reverse (241121340411), we get a palindrome (1381552551831).

The spelling of 1140431211420 in words is "one trillion, one hundred forty billion, four hundred thirty-one million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 11821 23642 34211 35463 47284 59105 68422 70926 102633 118210 136844 141852 171055 177315 205266 236420 342110 354630 410532 513165 555587 684220 709260 1026330 1111174 1607917 1666761 2052660 2222348 2777935 3215834 3333522 4823751 5555870 6431668 6667044 8039585 8333805 9647502 11111740 16079170 16667610 19295004 24118755 32158340 33335220 48237510 96475020 404408231 808816462 1213224693 1617632924 2022041155 2426449386 4044082310 4852898772 6066123465 8088164620 12132246930 19007186857 24264493860 38014373714 57021560571 76028747428 95035934285 114043121142 190071868570 228086242284 285107802855 380143737140 570215605710 1140431211420