Search a number
-
+
114555052325400 = 23352259173687799
BaseRepresentation
bin11010000010111111101101…
…001100110111101000011000
3120000121100121120010002102120
4122002333231030313220120
5110003332221343403100
61043345510423301240
733062220662453631
oct3202775514675030
9500540546102376
10114555052325400
1133556585659145
1210a216532aa820
134bbc658906c1b
1420406cbbd6888
15d39c8e4d60a0
hex682fed337a18

114555052325400 has 96 divisors (see below), whose sum is σ = 355257726336000. Its totient is φ = 30536223491200.

The previous prime is 114555052325387. The next prime is 114555052325401. The reversal of 114555052325400 is 4523250555411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114555052325401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35289300 + ... + 38398499.

It is an arithmetic number, because the mean of its divisors is an integer number (3700601316000).

Almost surely, 2114555052325400 is an apocalyptic number.

114555052325400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114555052325400 is an abundant number, since it is smaller than the sum of its proper divisors (240702674010600).

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

114555052325400 is a wasteful number, since it uses less digits than its factorization.

114555052325400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73690409 (or 73690400 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 114555052325400 in words is "one hundred fourteen trillion, five hundred fifty-five billion, fifty-two million, three hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2591 5182 7773 10364 12955 15546 20728 25910 31092 38865 51820 62184 64775 77730 103640 129550 155460 194325 259100 310920 388650 518200 777300 1554600 73687799 147375598 221063397 294751196 368438995 442126794 589502392 736877990 884253588 1105316985 1473755980 1768507176 1842194975 2210633970 2947511960 3684389950 4421267940 5526584925 7368779900 8842535880 11053169850 14737559800 22106339700 44212679400 190925087209 381850174418 572775261627 763700348836 954625436045 1145550523254 1527400697672 1909250872090 2291101046508 2863876308135 3818501744180 4582202093016 4773127180225 5727752616270 7637003488360 9546254360450 11455505232540 14319381540675 19092508720900 22911010465080 28638763081350 38185017441800 57277526162700 114555052325400