Search a number
-
+
3413005531120 = 245471635568799
BaseRepresentation
bin110001101010100110111…
…110110111011111110000
3110002021120020001002011201
4301222212332313133300
5421404313403443440
611131525121220544
7501403313230333
oct61524676673760
913067506032151
103413005531120
1110a64a17110a9
12471568791754
131b9aca728693
14bb29446461a
155dba7cd319a
hex31aa6fb77f0

3413005531120 has 80 divisors (see below), whose sum is σ = 8153792409600. Its totient is φ = 1327957846272.

The previous prime is 3413005531109. The next prime is 3413005531183. The reversal of 3413005531120 is 211355003143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171520 + ... + 3397279.

It is an arithmetic number, because the mean of its divisors is an integer number (101922405120).

Almost surely, 23413005531120 is an apocalyptic number.

It is an amenable number.

3413005531120 is an abundant number, since it is smaller than the sum of its proper divisors (4740786878480).

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

3413005531120 is a wasteful number, since it uses less digits than its factorization.

3413005531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5569022 (or 5569016 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 3413005531120 in words is "three trillion, four hundred thirteen billion, five million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 163 188 235 326 376 470 652 752 815 940 1304 1630 1880 2608 3260 3760 6520 7661 13040 15322 30644 38305 61288 76610 122576 153220 306440 612880 5568799 11137598 22275196 27843995 44550392 55687990 89100784 111375980 222751960 261733553 445503920 523467106 907714237 1046934212 1308667765 1815428474 2093868424 2617335530 3630856948 4187736848 4538571185 5234671060 7261713896 9077142370 10469342120 14523427792 18154284740 20938684240 36308569480 42662569139 72617138960 85325138278 170650276556 213312845695 341300553112 426625691390 682601106224 853251382780 1706502765560 3413005531120