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71430240750 = 23531129298559
BaseRepresentation
bin100001010000110010…
…0101111100111101110
320211101002121012100020
41002201210233213232
52132242120201000
652451541543010
75106052012521
oct1024144574756
9224332535306
1071430240750
1128325566120
1211a15a14a66
13697485385b
14365895abb8
151cd0e7aba0
hex10a192f9ee

71430240750 has 128 divisors (see below), whose sum is σ = 201205555200. Its totient is φ = 16719248000.

The previous prime is 71430240731. The next prime is 71430240757. The reversal of 71430240750 is 5704203417.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71430240757) 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 63 ways as a sum of consecutive naturals, for example, 89971 + ... + 388529.

It is an arithmetic number, because the mean of its divisors is an integer number (1571918400).

Almost surely, 271430240750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71430240750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100602777600).

71430240750 is an abundant number, since it is smaller than the sum of its proper divisors (129775314450).

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

71430240750 is a wasteful number, since it uses less digits than its factorization.

71430240750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298619 (or 298609 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 71430240750 in words is "seventy-one billion, four hundred thirty million, two hundred forty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 125 145 150 165 174 250 275 290 319 330 375 435 550 638 725 750 825 870 957 1375 1450 1595 1650 1914 2175 2750 3190 3625 4125 4350 4785 7250 7975 8250 9570 10875 15950 21750 23925 39875 47850 79750 119625 239250 298559 597118 895677 1492795 1791354 2985590 3284149 4478385 6568298 7463975 8658211 8956770 9852447 14927950 16420745 17316422 19704894 22391925 25974633 32841490 37319875 43291055 44783850 49262235 51949266 74639750 82103725 86582110 95240321 98524470 111959625 129873165 164207450 190480642 216455275 223919250 246311175 259746330 285720963 410518625 432910550 476201605 492622350 571441926 649365825 821037250 952403210 1082276375 1231555875 1298731650 1428604815 2164552750 2381008025 2463111750 2857209630 3246829125 4762016050 6493658250 7143024075 11905040125 14286048150 23810080250 35715120375 71430240750