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203744147140 = 225234367153739
BaseRepresentation
bin1011110111000000011…
…0001111011011000100
3201110220021120001210201
42331300012033123010
511314232000202030
6233333200100244
720501653450612
oct2756006173304
9643807501721
10203744147140
1179453294386
12335a1604684
131629cc2c161
149c0b4746b2
15547700b2ca
hex2f7018f6c4

203744147140 has 96 divisors (see below), whose sum is σ = 463670000640. Its totient is φ = 75004465536.

The previous prime is 203744147137. The next prime is 203744147147. The reversal of 203744147140 is 41741447302.

203744147140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 203744147140.

It is not an unprimeable number, because it can be changed into a prime (203744147147) by changing a digit.

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, 1248391 + ... + 1402129.

It is an arithmetic number, because the mean of its divisors is an integer number (4829895840).

Almost surely, 2203744147140 is an apocalyptic number.

203744147140 is a gapful number since it is divisible by the number (20) 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 203744147140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231835000320).

203744147140 is an abundant number, since it is smaller than the sum of its proper divisors (259925853500).

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

203744147140 is a wasteful number, since it uses less digits than its factorization.

203744147140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153881 (or 153879 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 37.

The spelling of 203744147140 in words is "two hundred three billion, seven hundred forty-four million, one hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 43 46 67 86 92 115 134 172 215 230 268 335 430 460 670 860 989 1340 1541 1978 2881 3082 3956 4945 5762 6164 7705 9890 11524 14405 15410 19780 28810 30820 57620 66263 132526 153739 265052 307478 331315 614956 662630 768695 1325260 1537390 3074780 3535997 6610777 7071994 10300513 13221554 14143988 17679985 20601026 26443108 33053885 35359970 41202052 51502565 66107770 70719940 103005130 132215540 152047871 206010260 236911799 304095742 442922059 473823598 608191484 760239355 885844118 947647196 1184558995 1520478710 1771688236 2214610295 2369117990 3040957420 4429220590 4738235980 8858441180 10187207357 20374414714 40748829428 50936036785 101872073570 203744147140