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1084431353440 = 25523476269839
BaseRepresentation
bin11111100011111010010…
…01010100011001100000
310211200002212220120121111
433301331021110121200
5120231403411302230
62150103023233104
7141230135262301
oct17617511243140
93750085816544
101084431353440
113889a5256446
12156205a48794
137b3524c0686
143a6b593c7a8
151d31dcb392a
hexfc7d254660

1084431353440 has 96 divisors (see below), whose sum is σ = 2730239447040. Its totient is φ = 406084867584.

The previous prime is 1084431353363. The next prime is 1084431353477. The reversal of 1084431353440 is 443531344801.

1084431353440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1084431353393 and 1084431353402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2961960 + ... + 3307879.

It is an arithmetic number, because the mean of its divisors is an integer number (28439994240).

Almost surely, 21084431353440 is an apocalyptic number.

1084431353440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1084431353440 is an abundant number, since it is smaller than the sum of its proper divisors (1645808093600).

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

1084431353440 is a wasteful number, since it uses less digits than its factorization.

1084431353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269924 (or 6269916 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 1084431353440 in words is "one trillion, eighty-four billion, four hundred thirty-one million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 80 92 94 115 160 184 188 230 235 368 376 460 470 736 752 920 940 1081 1504 1840 1880 2162 3680 3760 4324 5405 7520 8648 10810 17296 21620 34592 43240 86480 172960 6269839 12539678 25079356 31349195 50158712 62698390 100317424 125396780 144206297 200634848 250793560 288412594 294682433 501587120 576825188 589364866 721031485 1003174240 1153650376 1178729732 1442062970 1473412165 2307300752 2357459464 2884125940 2946824330 4614601504 4714918928 5768251880 5893648660 6777695959 9429837856 11536503760 11787297320 13555391918 23073007520 23574594640 27110783836 33888479795 47149189280 54221567672 67776959590 108443135344 135553919180 216886270688 271107838360 542215676720 1084431353440