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114504532000 = 255349957367
BaseRepresentation
bin110101010100100000…
…0001000000000100000
3101221120000110220121121
41222221000020000200
53334001130011000
6124334101302024
711162346314545
oct1525100100040
9357500426547
10114504532000
1144619906731
121a237404914
13aa4a7cc461
14578354cbcc
152ea27cdb1a
hex1aa9008020

114504532000 has 96 divisors (see below), whose sum is σ = 281906352000. Its totient is φ = 45709228800.

The previous prime is 114504531989. The next prime is 114504532003. The reversal of 114504532000 is 235405411.

It is a happy number.

It is a super-2 number, since 2×1145045320002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (114504532003) 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, 1967317 + ... + 2024683.

It is an arithmetic number, because the mean of its divisors is an integer number (2936524500).

Almost surely, 2114504532000 is an apocalyptic number.

114504532000 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 114504532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140953176000).

114504532000 is an abundant number, since it is smaller than the sum of its proper divisors (167401820000).

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

114504532000 is an equidigital number, since it uses as much as digits as its factorization.

114504532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57891 (or 57873 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 114504532000 its reverse (235405411), we get a palindrome (114739937411).

The spelling of 114504532000 in words is "one hundred fourteen billion, five hundred four million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 499 500 800 998 1000 1996 2000 2495 3992 4000 4990 7984 9980 12475 15968 19960 24950 39920 49900 57367 62375 79840 99800 114734 124750 199600 229468 249500 286835 399200 458936 499000 573670 917872 998000 1147340 1434175 1835744 1996000 2294680 2868350 4589360 5736700 7170875 9178720 11473400 14341750 22946800 28626133 28683500 45893600 57252266 57367000 114504532 114734000 143130665 229009064 229468000 286261330 458018128 572522660 715653325 916036256 1145045320 1431306650 2290090640 2862613300 3578266625 4580181280 5725226600 7156533250 11450453200 14313066500 22900906400 28626133000 57252266000 114504532000