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5433435331240 = 235767833489503
BaseRepresentation
bin100111100010001000111…
…1110111001101010101000
3201020102122110011022022111
41033010101332321222220
51203010133421044430
615320030303532104
71100360410201030
oct117042176715250
921212573138274
105433435331240
111805341660114
127390525ba034
133054a8710c77
1414ada031a8c0
1596509629c2a
hex4f111fb9aa8

5433435331240 has 128 divisors (see below), whose sum is σ = 14351073730560. Its totient is φ = 1812977743104.

The previous prime is 5433435331231. The next prime is 5433435331279. The reversal of 5433435331240 is 421335343345.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5433435331193 and 5433435331202.

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, 187672 + ... + 3301831.

It is an arithmetic number, because the mean of its divisors is an integer number (112117763520).

Almost surely, 25433435331240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5433435331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175536865280).

5433435331240 is an abundant number, since it is smaller than the sum of its proper divisors (8917638399320).

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

5433435331240 is a wasteful number, since it uses less digits than its factorization.

5433435331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489671 (or 3489667 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 40.

It can be divided in two parts, 5433435 and 331240, that added together give a palindrome (5764675).

The spelling of 5433435331240 in words is "five trillion, four hundred thirty-three billion, four hundred thirty-five million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 83 134 140 166 268 280 332 335 415 469 536 581 664 670 830 938 1162 1340 1660 1876 2324 2345 2680 2905 3320 3752 4648 4690 5561 5810 9380 11122 11620 18760 22244 23240 27805 38927 44488 55610 77854 111220 155708 194635 222440 311416 389270 778540 1557080 3489503 6979006 13958012 17447515 24426521 27916024 34895030 48853042 69790060 97706084 122132605 139580120 195412168 233796701 244265210 289628749 467593402 488530420 579257498 935186804 977060840 1158514996 1168983505 1448143745 1636576907 1870373608 2027401243 2317029992 2337967010 2896287490 3273153814 4054802486 4675934020 5792574980 6546307628 8109604972 8182884535 9351868040 10137006215 11585149960 13092615256 16219209944 16365769070 19405126183 20274012430 32731538140 38810252366 40548024860 65463076280 77620504732 81096049720 97025630915 135835883281 155241009464 194051261830 271671766562 388102523660 543343533124 679179416405 776205047320 1086687066248 1358358832810 2716717665620 5433435331240