Search a number
-
+
114060355400 = 23521964346681
BaseRepresentation
bin110101000111010000…
…1101110011101001000
3101220102001200101212102
41222032201232131020
53332043422333100
6124222033132532
711145344011205
oct1521641563510
9356361611772
10114060355400
1144411108232
121a1326ba148
13a9a9791274
145740568cac
152e787e0cd5
hex1a8e86e748

114060355400 has 96 divisors (see below), whose sum is σ = 279587834400. Its totient is φ = 43154726400.

The previous prime is 114060355399. The next prime is 114060355463. The reversal of 114060355400 is 4553060411.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2420060 + ... + 2466740.

It is an arithmetic number, because the mean of its divisors is an integer number (2912373275).

Almost surely, 2114060355400 is an apocalyptic number.

114060355400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114060355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793917200).

114060355400 is an abundant number, since it is smaller than the sum of its proper divisors (165527479000).

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

114060355400 is a wasteful number, since it uses less digits than its factorization.

114060355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47359 (or 47350 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 114060355400 in words is "one hundred fourteen billion, sixty million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 643 760 950 1286 1900 2572 3215 3800 5144 6430 12217 12860 16075 24434 25720 32150 46681 48868 61085 64300 93362 97736 122170 128600 186724 233405 244340 305425 373448 466810 488680 610850 886939 933620 1167025 1221700 1773878 1867240 2334050 2443400 3547756 4434695 4668100 7095512 8869390 9336200 17738780 22173475 30015883 35477560 44346950 60031766 88693900 120063532 150079415 177387800 240127064 300158830 570301777 600317660 750397075 1140603554 1200635320 1500794150 2281207108 2851508885 3001588300 4562414216 5703017770 6003176600 11406035540 14257544425 22812071080 28515088850 57030177700 114060355400