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103334443440 = 24355319940823
BaseRepresentation
bin110000000111100110…
…1100111100110110000
3100212201112222121201220
41200033031213212300
53143112104142230
6115245435425040
710315503163644
oct1401715474660
9325645877656
10103334443440
113a907665888
121803a5b5180
13998a5913b7
145003c44c24
152a4bd42d10
hex180f3679b0

103334443440 has 160 divisors (see below), whose sum is σ = 328029004800. Its totient is φ = 26899411968.

The previous prime is 103334443417. The next prime is 103334443451. The reversal of 103334443440 is 44344433301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510869 + ... + 2551691.

It is an arithmetic number, because the mean of its divisors is an integer number (2050181280).

Almost surely, 2103334443440 is an apocalyptic number.

103334443440 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 103334443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164014502400).

103334443440 is an abundant number, since it is smaller than the sum of its proper divisors (224694561360).

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

103334443440 is a wasteful number, since it uses less digits than its factorization.

103334443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41091 (or 41085 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 103334443440 its reverse (44344433301), we get a palindrome (147678876741).

The spelling of 103334443440 in words is "one hundred three billion, three hundred thirty-four million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 199 212 240 265 318 398 424 530 597 636 795 796 848 995 1060 1194 1272 1590 1592 1990 2120 2388 2544 2985 3180 3184 3980 4240 4776 5970 6360 7960 9552 10547 11940 12720 15920 21094 23880 31641 40823 42188 47760 52735 63282 81646 84376 105470 122469 126564 158205 163292 168752 204115 210940 244938 253128 316410 326584 408230 421880 489876 506256 612345 632820 653168 816460 843760 979752 1224690 1265640 1632920 1959504 2163619 2449380 2531280 3265840 4327238 4898760 6490857 8123777 8654476 9797520 10818095 12981714 16247554 17308952 21636190 24371331 25963428 32454285 32495108 34617904 40618885 43272380 48742662 51926856 64908570 64990216 81237770 86544760 97485324 103853712 121856655 129817140 129980432 162475540 173089520 194970648 243713310 259634280 324951080 389941296 430560181 487426620 519268560 649902160 861120362 974853240 1291680543 1722240724 1949706480 2152800905 2583361086 3444481448 4305601810 5166722172 6458402715 6888962896 8611203620 10333444344 12916805430 17222407240 20666888688 25833610860 34444814480 51667221720 103334443440