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240442244020 = 2251131194918089
BaseRepresentation
bin1101111111101101111…
…0010111101110110100
3211222121211111112202001
43133323132113232310
512414411203302040
6302242503425044
723241245231656
oct3377336275664
9758554445661
10240442244020
1192a75418770
123a723755184
131989abb4094
14b8cd2cc6d6
1563c3bb659a
hex37fb797bb4

240442244020 has 96 divisors (see below), whose sum is σ = 568923264000. Its totient is φ = 84565017600.

The previous prime is 240442244017. The next prime is 240442244039. The reversal of 240442244020 is 20442244042.

It is a self number, because there is not a number n which added to its sum of digits gives 240442244020.

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, 13283136 + ... + 13301224.

It is an arithmetic number, because the mean of its divisors is an integer number (5926284000).

Almost surely, 2240442244020 is an apocalyptic number.

240442244020 is a gapful number since it is divisible by the number (20) 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 240442244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284461632000).

240442244020 is an abundant number, since it is smaller than the sum of its proper divisors (328481019980).

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

240442244020 is a wasteful number, since it uses less digits than its factorization.

240442244020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20089 (or 20087 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 240442244020 its reverse (20442244042), we get a palindrome (260884488062).

It can be divided in two parts, 2404422 and 44020, that added together give a palindrome (2448442).

The spelling of 240442244020 in words is "two hundred forty billion, four hundred forty-two million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 1949 3410 3898 6820 7796 9745 18089 19490 21439 36178 38980 42878 60419 72356 85756 90445 107195 120838 180890 198979 214390 241676 302095 361780 397958 428780 560759 604190 664609 795916 994895 1121518 1208380 1329218 1989790 2243036 2658436 2803795 3323045 3979580 5607590 6168349 6646090 11215180 12336698 13292180 24673396 30841745 35255461 61683490 70510922 123366980 141021844 176277305 352554610 387810071 705109220 775620142 1092919291 1551240284 1939050355 2185838582 3878100710 4371677164 5464596455 7756201420 10929192910 12022112201 21858385820 24044224402 48088448804 60110561005 120221122010 240442244020