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1040030332440 = 2335111901414467
BaseRepresentation
bin11110010001001101010…
…00110111011000011000
310200102111111120000021020
433020212220313120120
5114014440231114230
62113441111242440
7135065630651421
oct17104650673030
93612444500236
101040030332440
11371090011170
12149694079420
13770c770b498
14384a2a6c648
151c0c0c40810
hexf226a37618

1040030332440 has 128 divisors (see below), whose sum is σ = 3405534347520. Its totient is φ = 251995328000.

The previous prime is 1040030332387. The next prime is 1040030332487. The reversal of 1040030332440 is 442330300401.

It is a super-3 number, since 3×10400303324403 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1040030332440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302087 + ... + 2716553.

It is an arithmetic number, because the mean of its divisors is an integer number (26605737090).

Almost surely, 21040030332440 is an apocalyptic number.

1040030332440 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 1040030332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702767173760).

1040030332440 is an abundant number, since it is smaller than the sum of its proper divisors (2365504015080).

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

1040030332440 is a wasteful number, since it uses less digits than its factorization.

1040030332440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416393 (or 416389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1040030332440 its reverse (442330300401), we get a palindrome (1482360632841).

The spelling of 1040030332440 in words is "one trillion, forty billion, thirty million, three hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1901 3802 5703 7604 9505 11406 15208 19010 20911 22812 28515 38020 41822 45624 57030 62733 76040 83644 104555 114060 125466 167288 209110 228120 250932 313665 414467 418220 501864 627330 828934 836440 1243401 1254660 1657868 2072335 2486802 2509320 3315736 4144670 4559137 4973604 6217005 8289340 9118274 9947208 12434010 13677411 16578680 18236548 22795685 24868020 27354822 36473096 45591370 49736040 54709644 68387055 91182740 109419288 136774110 182365480 273548220 547096440 787901767 1575803534 2363705301 3151607068 3939508835 4727410602 6303214136 7879017670 8666919437 9454821204 11818526505 15758035340 17333838874 18909642408 23637053010 26000758311 31516070680 34667677748 43334597185 47274106020 52001516622 69335355496 86669194370 94548212040 104003033244 130003791555 173338388740 208006066488 260007583110 346676777480 520015166220 1040030332440