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4114140420 = 22351317218251
BaseRepresentation
bin1111010100111000…
…1100110100000100
3101121201110222200010
43311032030310010
531411204443140
61520124150220
7203644421325
oct36516146404
911551428603
104114140420
111821363655
12969998370
13507476520
142b058644c
151912be880
hexf538cd04

4114140420 has 144 divisors (see below), whose sum is σ = 13179112128. Its totient is φ = 953088000.

The previous prime is 4114140383. The next prime is 4114140439. The reversal of 4114140420 is 240414114.

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, 216295 + ... + 234545.

It is an arithmetic number, because the mean of its divisors is an integer number (91521612).

Almost surely, 24114140420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589556064).

4114140420 is an abundant number, since it is smaller than the sum of its proper divisors (9064971708).

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

4114140420 is a wasteful number, since it uses less digits than its factorization.

4114140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18310 (or 18291 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4114140420 is about 64141.5654626546. The cubic root of 4114140420 is about 1602.3585554061.

Adding to 4114140420 its reverse (240414114), we get a palindrome (4354554534).

The spelling of 4114140420 in words is "four billion, one hundred fourteen million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 289 340 390 442 510 578 663 780 867 884 1020 1105 1156 1326 1445 1734 2210 2652 2890 3315 3468 3757 4335 4420 5780 6630 7514 8670 11271 13260 15028 17340 18251 18785 22542 36502 37570 45084 54753 56355 73004 75140 91255 109506 112710 182510 219012 225420 237263 273765 310267 365020 474526 547530 620534 711789 930801 949052 1095060 1186315 1241068 1423578 1551335 1861602 2372630 2847156 3102670 3558945 3723204 4033471 4654005 4745260 5274539 6205340 7117890 8066942 9308010 10549078 12100413 14235780 15823617 16133884 18616020 20167355 21098156 24200826 26372695 31647234 40334710 48401652 52745390 60502065 63294468 68569007 79118085 80669420 105490780 121004130 137138014 158236170 205707021 242008260 274276028 316472340 342845035 411414042 685690070 822828084 1028535105 1371380140 2057070210 4114140420