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1140311423440 = 245726343317881
BaseRepresentation
bin10000100101111111110…
…110110111100111010000
311001000100021010020212201
4100211333312313213100
5122140324211022230
62231503555132544
7145245660113260
oct20457766674720
94030307106781
101140311423440
113aa670086082
12164bbbba4154
13836b9528057
143d29717d7a0
151e9de9a15ca
hex1097fdb79d0

1140311423440 has 160 divisors (see below), whose sum is σ = 3048685871616. Its totient is φ = 388556144640.

The previous prime is 1140311423437. The next prime is 1140311423483. The reversal of 1140311423440 is 443241130411.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1140311423399 and 1140311423408.

It is a congruent number.

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, 63763300 + ... + 63781180.

Almost surely, 21140311423440 is an apocalyptic number.

1140311423440 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 1140311423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524342935808).

1140311423440 is an abundant number, since it is smaller than the sum of its proper divisors (1908374448176).

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

1140311423440 is a wasteful number, since it uses less digits than its factorization.

1140311423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18597 (or 18591 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1140311423440 its reverse (443241130411), we get a palindrome (1583552553851).

The spelling of 1140311423440 in words is "one trillion, one hundred forty billion, three hundred eleven million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 280 433 526 560 866 1052 1315 1732 1841 2104 2165 2630 3031 3464 3682 4208 4330 5260 6062 6928 7364 8660 9205 10520 12124 14728 15155 17320 17881 18410 21040 24248 29456 30310 34640 35762 36820 48496 60620 71524 73640 89405 113879 121240 125167 143048 147280 178810 227758 242480 250334 286096 357620 455516 500668 569395 625835 715240 797153 911032 1001336 1138790 1251670 1430480 1594306 1822064 2002672 2277580 2503340 3188612 3985765 4555160 4702703 5006680 6377224 7742473 7971530 9110320 9405406 10013360 12754448 15484946 15943060 18810812 23513515 30969892 31886120 32918921 37621624 38712365 47027030 54197311 61939784 63772240 65837842 75243248 77424730 94054060 108394622 123879568 131675684 154849460 164594605 188108120 216789244 263351368 270986555 309698920 329189210 376216240 433578488 526702736 541973110 619397840 658378420 867156976 1083946220 1316756840 2036270399 2167892440 2633513680 4072540798 4335784880 8145081596 10181351995 14253892793 16290163192 20362703990 28507785586 32580326384 40725407980 57015571172 71269463965 81450815960 114031142344 142538927930 162901631920 228062284688 285077855860 570155711720 1140311423440