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240020420240 = 24531118895107
BaseRepresentation
bin1101111110001001010…
…1001111011010010000
3211221112102202200022002
43133202111033122100
512413030211421430
6302132554333132
723224633624016
oct3374225173220
9757472680262
10240020420240
11928792a7277
123a62642a1a8
13198316a1203
14b88d2868b6
15639bb41845
hex37e254f690

240020420240 has 80 divisors (see below), whose sum is σ = 560247891840. Its totient is φ = 95630069760.

The previous prime is 240020420239. The next prime is 240020420249. The reversal of 240020420240 is 42024020042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (240020420249) 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, 46995767 + ... + 47000873.

It is an arithmetic number, because the mean of its divisors is an integer number (7003098648).

Almost surely, 2240020420240 is an apocalyptic number.

240020420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240020420240 is an abundant number, since it is smaller than the sum of its proper divisors (320227471600).

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

240020420240 is a wasteful number, since it uses less digits than its factorization.

240020420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 240020420240 its reverse (42024020042), we get a palindrome (282044440282).

The spelling of 240020420240 in words is "two hundred forty billion, twenty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1244 1555 1889 2488 3110 3778 4976 5107 6220 7556 9445 10214 12440 15112 18890 20428 24880 25535 30224 37780 40856 51070 75560 81712 102140 151120 204280 408560 587479 1174958 1588277 2349916 2937395 3176554 4699832 5874790 6353108 7941385 9399664 9647123 11749580 12706216 15882770 19294246 23499160 25412432 31765540 38588492 46998320 48235615 63531080 77176984 96471230 127062160 154353968 192942460 385884920 771769840 3000255253 6000510506 12001021012 15001276265 24002042024 30002552530 48004084048 60005105060 120010210120 240020420240