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14240002433100 = 22352101577814501
BaseRepresentation
bin1100111100111000001001…
…0010010110000001001100
31212102022221020211210100020
43033032002102112001030
53331302011110324400
650141433344102140
72666543351361003
oct317160222260114
955368836753306
1014240002433100
1145a0173156954
12171b984004950
137c3a98997c82
14373311191c3a
1519a63618a2a0
hexcf38249604c

14240002433100 has 144 divisors (see below), whose sum is σ = 41681168963616. Its totient is φ = 3753216000000.

The previous prime is 14240002433089. The next prime is 14240002433159. The reversal of 14240002433100 is 133420004241.

It is a super-2 number, since 2×142400024331002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17075850 + ... + 17890350.

Almost surely, 214240002433100 is an apocalyptic number.

14240002433100 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 14240002433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840584481808).

14240002433100 is an abundant number, since it is smaller than the sum of its proper divisors (27441166530516).

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

14240002433100 is a wasteful number, since it uses less digits than its factorization.

14240002433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815196 (or 815189 counting only the distinct ones).

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

Adding to 14240002433100 its reverse (133420004241), we get a palindrome (14373422437341).

The spelling of 14240002433100 in words is "fourteen trillion, two hundred forty billion, two million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 577 606 1010 1154 1212 1515 1731 2020 2308 2525 2885 3030 3462 5050 5770 6060 6924 7575 8655 10100 11540 14425 15150 17310 28850 30300 34620 43275 57700 58277 86550 116554 173100 174831 233108 291385 349662 582770 699324 814501 874155 1165540 1456925 1629002 1748310 2443503 2913850 3258004 3496620 4072505 4370775 4887006 5827700 8145010 8741550 9774012 12217515 16290020 17483100 20362525 24435030 40725050 48870060 61087575 81450100 82264601 122175150 164529202 244350300 246793803 329058404 411323005 469967077 493587606 822646010 939934154 987175212 1233969015 1409901231 1645292020 1879868308 2056615025 2349835385 2467938030 2819802462 4113230050 4699670770 4935876060 5639604924 6169845075 7049506155 8226460100 9399341540 11749176925 12339690150 14099012310 23498353850 24679380300 28198024620 35247530775 46996707700 47466674777 70495061550 94933349554 140990123100 142400024331 189866699108 237333373885 284800048662 474666747770 569600097324 712000121655 949333495540 1186666869425 1424000243310 2373333738850 2848000486620 3560000608275 4746667477700 7120001216550 14240002433100