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154043431040 = 2752326938903
BaseRepresentation
bin1000111101110110110…
…1000011100010000000
3112201121112220002111202
42033131231003202000
510010440104243130
6154433325200332
714062224362642
oct2173555034200
9481545802452
10154043431040
115a3695567a4
1225a30a000a8
13116ac1992c5
1476547ac892
154018a83145
hex23ddb43880

154043431040 has 128 divisors (see below), whose sum is σ = 385709817600. Its totient is φ = 58717745152.

The previous prime is 154043430997. The next prime is 154043431093. The reversal of 154043431040 is 40134340451.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 154043430994 and 154043431012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3940229 + ... + 3979131.

It is an arithmetic number, because the mean of its divisors is an integer number (3013357950).

Almost surely, 2154043431040 is an apocalyptic number.

154043431040 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 154043431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192854908800).

154043431040 is an abundant number, since it is smaller than the sum of its proper divisors (231666386560).

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

154043431040 is a wasteful number, since it uses less digits than its factorization.

154043431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214 (or 39202 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 154043431040 its reverse (40134340451), we get a palindrome (194177771491).

The spelling of 154043431040 in words is "one hundred fifty-four billion, forty-three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 269 320 368 460 538 640 736 920 1076 1345 1472 1840 2152 2690 2944 3680 4304 5380 6187 7360 8608 10760 12374 14720 17216 21520 24748 30935 34432 38903 43040 49496 61870 77806 86080 98992 123740 155612 172160 194515 197984 247480 311224 389030 395968 494960 622448 778060 791936 894769 989920 1244896 1556120 1789538 1979840 2489792 3112240 3579076 3959680 4473845 4979584 6224480 7158152 8947690 10464907 12448960 14316304 17895380 20929814 24897920 28632608 35790760 41859628 52324535 57265216 71581520 83719256 104649070 114530432 143163040 167438512 209298140 240692861 286326080 334877024 418596280 481385722 572652160 669754048 837192560 962771444 1203464305 1339508096 1674385120 1925542888 2406928610 3348770240 3851085776 4813857220 6697540480 7702171552 9627714440 15404343104 19255428880 30808686208 38510857760 77021715520 154043431040