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114433204020 = 223510127768171
BaseRepresentation
bin110101010010011000…
…0000001111100110100
3101221101001021002000120
41222210300001330310
53333324400012040
6124323032411540
711160522120342
oct1524460017464
9357331232016
10114433204020
1144592618993
121a217546bb0
13aa38ab7355
145777ca2992
152e9b3de7d0
hex1aa4c01f34

114433204020 has 96 divisors (see below), whose sum is σ = 324758318976. Its totient is φ = 30103872000.

The previous prime is 114433204019. The next prime is 114433204057. The reversal of 114433204020 is 20402334411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644535 + ... + 1712705.

It is an arithmetic number, because the mean of its divisors is an integer number (3382899156).

Almost surely, 2114433204020 is an apocalyptic number.

114433204020 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 114433204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162379159488).

114433204020 is an abundant number, since it is smaller than the sum of its proper divisors (210325114956).

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

114433204020 is a wasteful number, since it uses less digits than its factorization.

114433204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68561 (or 68559 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 114433204020 its reverse (20402334411), we get a palindrome (134835538431).

The spelling of 114433204020 in words is "one hundred fourteen billion, four hundred thirty-three million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 277 303 404 505 554 606 831 1010 1108 1212 1385 1515 1662 2020 2770 3030 3324 4155 5540 6060 8310 16620 27977 55954 68171 83931 111908 136342 139885 167862 204513 272684 279770 335724 340855 409026 419655 559540 681710 818052 839310 1022565 1363420 1678620 2045130 4090260 6885271 13770542 18883367 20655813 27541084 34426355 37766734 41311626 56650101 68852710 75533468 82623252 94416835 103279065 113300202 137705420 188833670 206558130 226600404 283250505 377667340 413116260 566501010 1133002020 1907220067 3814440134 5721660201 7628880268 9536100335 11443320402 19072200670 22886640804 28608301005 38144401340 57216602010 114433204020