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4140020240 = 2452331181401
BaseRepresentation
bin1111011011000011…
…1011001000010000
3101200112011211002222
43312300323020100
531434321121430
61522451000212
7204410406566
oct36660731020
911615154088
104140020240
111834a2a534
12976599068
1350c938025
142b3ba1a36
151936d29e5
hexf6c3b210

4140020240 has 160 divisors (see below), whose sum is σ = 10451331072. Its totient is φ = 1520640000.

The previous prime is 4140020231. The next prime is 4140020267. The reversal of 4140020240 is 420200414.

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, 10324040 + ... + 10324440.

Almost surely, 24140020240 is an apocalyptic number.

4140020240 is a gapful number since it is divisible by the number (40) 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 4140020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225665536).

4140020240 is an abundant number, since it is smaller than the sum of its proper divisors (6311310832).

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

4140020240 is a wasteful number, since it uses less digits than its factorization.

4140020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4140020240 is about 64342.9890508671. The cubic root of 4140020240 is about 1605.7113903376.

Adding to 4140020240 its reverse (420200414), we get a palindrome (4560220654).

The spelling of 4140020240 in words is "four billion, one hundred forty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 181 184 230 248 310 362 368 401 460 496 620 713 724 802 905 920 1240 1426 1448 1604 1810 1840 2005 2480 2852 2896 3208 3565 3620 4010 4163 5611 5704 6416 7130 7240 8020 8326 9223 11222 11408 12431 14260 14480 16040 16652 18446 20815 22444 24862 28055 28520 32080 33304 36892 41630 44888 46115 49724 56110 57040 62155 66608 72581 73784 83260 89776 92230 99448 112220 124310 129053 145162 147568 166520 184460 198896 224440 248620 258106 285913 290324 333040 362905 368920 448880 497240 516212 571826 580648 645265 725810 737840 994480 1032424 1143652 1161296 1290530 1429565 1451620 1669363 2064848 2250011 2287304 2581060 2859130 2903240 3338726 4500022 4574608 5162120 5718260 5806480 6677452 8346815 9000044 10324240 11250055 11436520 13354904 16693630 18000088 22500110 22873040 26709808 33387260 36000176 45000220 51750253 66774520 90000440 103500506 133549040 180000880 207001012 258751265 414002024 517502530 828004048 1035005060 2070010120 4140020240