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147944333940 = 2235132139910429
BaseRepresentation
bin1000100111001000101…
…0110110001001110100
3112010212111100212011120
42021302022312021310
54410442222141230
6151544212303540
713455125042514
oct2116212661164
9463774325146
10147944333940
11578197a0887
122480a311bb0
1310c49714a00
147236765844
153cad3c3310
hex22722b6274

147944333940 has 144 divisors (see below), whose sum is σ = 448923888000. Its totient is φ = 36387546624.

The previous prime is 147944333921. The next prime is 147944334017. The reversal of 147944333940 is 49333449741.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 14180646 + ... + 14191074.

It is an arithmetic number, because the mean of its divisors is an integer number (3117527000).

Almost surely, 2147944333940 is an apocalyptic number.

147944333940 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 147944333940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224461944000).

147944333940 is an abundant number, since it is smaller than the sum of its proper divisors (300979554060).

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

147944333940 is a wasteful number, since it uses less digits than its factorization.

147944333940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 147944333940 in words is "one hundred forty-seven billion, nine hundred forty-four million, three hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1399 1690 2028 2535 2798 3380 4197 5070 5596 6995 8394 10140 10429 13990 16788 18187 20858 20985 27980 31287 36374 41716 41970 52145 54561 62574 72748 83940 90935 104290 109122 125148 135577 156435 181870 208580 218244 236431 271154 272805 312870 363740 406731 472862 542308 545610 625740 677885 709293 813462 945724 1091220 1182155 1355770 1418586 1626924 1762501 2033655 2364310 2711540 2837172 3525002 3546465 4067310 4728620 5287503 7050004 7092930 8134620 8812505 10575006 14185860 14590171 17625010 21150012 26437515 29180342 35250020 43770513 52875030 58360684 72950855 87541026 105750060 145901710 175082052 189672223 218852565 291803420 379344446 437705130 569016669 758688892 875410260 948361115 1138033338 1896722230 2276066676 2465738899 2845083345 3793444460 4931477798 5690166690 7397216697 9862955596 11380333380 12328694495 14794433394 24657388990 29588866788 36986083485 49314777980 73972166970 147944333940