Search a number
-
+
3545245423434 = 23112133323113041
BaseRepresentation
bin110011100101110001000…
…110000001011101001010
3110112220220020201122102010
4303211301012001131022
5431041130312022214
611312355133120350
7514064325613101
oct63456106013512
913486806648363
103545245423434
111147591687500
124931136290b6
131c941368b380
14c383b1d3038
15623475e3659
hex3397118174a

3545245423434 has 96 divisors (see below), whose sum is σ = 8395793929152. Its totient is φ = 991369843200.

The previous prime is 3545245423417. The next prime is 3545245423451. The reversal of 3545245423434 is 4343245425453.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3545245423417) and next prime (3545245423451).

It is a super-2 number, since 2×35452454234342 (a number of 26 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 31305954 + ... + 31418994.

It is an arithmetic number, because the mean of its divisors is an integer number (87456186762).

Almost surely, 23545245423434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545245423434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197896964576).

3545245423434 is an abundant number, since it is smaller than the sum of its proper divisors (4850548505718).

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

3545245423434 is a wasteful number, since it uses less digits than its factorization.

3545245423434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116404 (or 116393 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 48.

The spelling of 3545245423434 in words is "three trillion, five hundred forty-five billion, two hundred forty-five million, four hundred twenty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 3323 4719 6646 9438 9969 19938 36553 43199 73106 86398 109659 113041 129597 219318 226082 259194 339123 402083 475189 678246 804166 950378 1206249 1243451 1425567 1469533 2412498 2486902 2851134 2939066 3730353 4408599 5227079 7460706 8817198 10454158 13677961 15681237 16164863 27355922 31362474 32329726 41033883 48494589 82067766 96989178 177813493 355626986 375635243 533440479 751270486 1066880958 1126905729 2253811458 4131987673 4883258159 8263975346 9766516318 12395963019 14649774477 24791926038 29299548954 45451864403 53715839749 90903728806 107431679498 136355593209 161147519247 272711186418 322295038494 590874237239 1181748474478 1772622711717 3545245423434