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245342043232 = 251121317286711
BaseRepresentation
bin1110010001111110000…
…1100111110001100000
3212110021022100010122221
43210133201213301200
513004430030340412
6304413015240424
723503542646606
oct3443741476140
9773238303587
10245342043232
119505a207400
123b670679114
131a19c05b960
14bc35d49876
1565ade28b07
hex391f867c60

245342043232 has 144 divisors (see below), whose sum is σ = 605394681696. Its totient is φ = 96885043200.

The previous prime is 245342043203. The next prime is 245342043251. The reversal of 245342043232 is 232340243542.

245342043232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 23 ways as a sum of consecutive naturals, for example, 712357 + ... + 999067.

It is an arithmetic number, because the mean of its divisors is an integer number (4204129734).

Almost surely, 2245342043232 is an apocalyptic number.

245342043232 is a gapful number since it is divisible by the number (22) 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 245342043232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302697340848).

245342043232 is an abundant number, since it is smaller than the sum of its proper divisors (360052638464).

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

245342043232 is a wasteful number, since it uses less digits than its factorization.

245342043232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286773 (or 286754 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 245342043232 its reverse (232340243542), we get a palindrome (477682286774).

The spelling of 245342043232 in words is "two hundred forty-five billion, three hundred forty-two million, forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 121 136 143 176 187 208 221 242 272 286 352 374 416 442 484 544 572 748 884 968 1144 1496 1573 1768 1936 2057 2288 2431 2992 3146 3536 3872 4114 4576 4862 5984 6292 7072 8228 9724 12584 16456 19448 25168 26741 32912 38896 50336 53482 65824 77792 106964 213928 286711 427856 573422 855712 1146844 2293688 3153821 3727243 4587376 4874087 6307642 7454486 9174752 9748174 12615284 14908972 19496348 25230568 29817944 34692031 38992696 40999673 50461136 53614957 59635888 63363131 69384062 77985392 81999346 100922272 107229914 119271776 126726262 138768124 155970784 163998692 214459828 253452524 277536248 327997384 428919656 450996403 506905048 555072496 589764527 655994768 696994441 857839312 901992806 1013810096 1110144992 1179529054 1311989536 1393988882 1715678624 1803985612 2027620192 2359058108 2787977764 3607971224 4718116216 5575955528 7215942448 7666938851 9436232432 11151911056 14431884896 15333877702 18872464864 22303822112 30667755404 61335510808 122671021616 245342043232