Search a number
-
+
354243044115220 = 225136741603488797
BaseRepresentation
bin101000010001011101010001…
…0110011110000001100010100
31201110021022012211011211222011
41100202322202303300030110
5332412404223243141340
63253225001410314004
7134421133603132531
oct12042724263601424
91643238184154864
10354243044115220
11a29666a4340217
1233892812888904
1312287c8b884140
146369652039d88
152ae4a1b7900ea
hex1422ea2cf0314

354243044115220 has 96 divisors (see below), whose sum is σ = 813112704448128. Its totient is φ = 128841870592512.

The previous prime is 354243044115209. The next prime is 354243044115269. The reversal of 354243044115220 is 22511440342453.

It is a super-3 number, since 3×3542430441152203 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 724479862 + ... + 724968658.

It is an arithmetic number, because the mean of its divisors is an integer number (8469924004668).

Almost surely, 2354243044115220 is an apocalyptic number.

It is an amenable number.

354243044115220 is an abundant number, since it is smaller than the sum of its proper divisors (458869660332908).

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

354243044115220 is a wasteful number, since it uses less digits than its factorization.

354243044115220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530489 (or 530487 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

Adding to 354243044115220 its reverse (22511440342453), we get a palindrome (376754484457673).

The spelling of 354243044115220 in words is "three hundred fifty-four trillion, two hundred forty-three billion, forty-four million, one hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 8710 17420 41603 83206 166412 208015 416030 488797 540839 832060 977594 1081678 1955188 2163356 2443985 2704195 2787401 4887970 5408390 5574802 6354361 9775940 10816780 11149604 12708722 13937005 25417444 27874010 31771805 32749399 36236213 55748020 63543610 65498798 72472426 127087220 130997596 144944852 163746995 181181065 327493990 362362130 425742187 654987980 724724260 851484374 1702968748 2128710935 4257421870 8514843740 20335421591 40670843182 81341686364 101677107955 203354215910 264360480683 406708431820 528720961366 1057441922732 1321802403415 1362473246597 2643604806830 2724946493194 5287209613660 5449892986388 6812366232985 13624732465970 17712152205761 27249464931940 35424304411522 70848608823044 88560761028805 177121522057610 354243044115220