Search a number
-
+
3411243212064 = 25367836389819
BaseRepresentation
bin110001101000111101111…
…100001001110100100000
3110002010000101220222220120
4301220331330021310200
5421342211230241224
611131034204440240
7501311533612032
oct61507574116440
913063011828816
103411243212064
1110a5777953776
12471156549080
131b98a959c73c
14bb168399c52
155db0321e779
hex31a3df09d20

3411243212064 has 96 divisors (see below), whose sum is σ = 9197660263680. Its totient is φ = 1106614240512.

The previous prime is 3411243212063. The next prime is 3411243212101. The reversal of 3411243212064 is 4602123421143.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3411243212063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661054 + ... + 3728765.

It is an arithmetic number, because the mean of its divisors is an integer number (95808961080).

Almost surely, 23411243212064 is an apocalyptic number.

It is an amenable number.

3411243212064 is an abundant number, since it is smaller than the sum of its proper divisors (5786417051616).

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

3411243212064 is a wasteful number, since it uses less digits than its factorization.

3411243212064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389982 (or 6389974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 3411243212064 in words is "three trillion, four hundred eleven billion, two hundred forty-three million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 83 96 134 166 201 249 268 332 402 498 536 664 804 996 1072 1328 1608 1992 2144 2656 3216 3984 5561 6432 7968 11122 16683 22244 33366 44488 66732 88976 133464 177952 266928 533856 6389819 12779638 19169457 25559276 38338914 51118552 76677828 102237104 153355656 204474208 306711312 428117873 530354977 613422624 856235746 1060709954 1284353619 1591064931 1712471492 2121419908 2568707238 3182129862 3424942984 4242839816 5137414476 6364259724 6849885968 8485679632 10274828952 12728519448 13699771936 16971359264 20549657904 25457038896 35533783459 41099315808 50914077792 71067566918 106601350377 142135133836 213202700754 284270267672 426405401508 568540535344 852810803016 1137081070688 1705621606032 3411243212064