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2440505056040 = 2352329317288559
BaseRepresentation
bin100011100000111001011…
…011111101101100101000
322122022100222211021002122
4203200321123331230220
5304441123243243130
65105052541050412
7341214663462332
oct43407133755450
98568328737078
102440505056040
11861015531307
12334ba0256a08
131491a578a49c
148619a330452
154373a8c42e5
hex238396fdb28

2440505056040 has 128 divisors (see below), whose sum is σ = 5946182784000. Its totient is φ = 898712736768.

The previous prime is 2440505056039. The next prime is 2440505056117. The reversal of 2440505056040 is 406505050442.

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, 8313281 + ... + 8601839.

It is an arithmetic number, because the mean of its divisors is an integer number (46454553000).

Almost surely, 22440505056040 is an apocalyptic number.

2440505056040 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 2440505056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973091392000).

2440505056040 is an abundant number, since it is smaller than the sum of its proper divisors (3505677727960).

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

2440505056040 is a wasteful number, since it uses less digits than its factorization.

2440505056040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288939 (or 288935 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 2440505056040 in words is "two trillion, four hundred forty billion, five hundred five million, fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 317 460 580 634 667 920 1160 1268 1334 1585 2536 2668 3170 3335 5336 6340 6670 7291 9193 12680 13340 14582 18386 26680 29164 36455 36772 45965 58328 72910 73544 91930 145820 183860 211439 288559 291640 367720 422878 577118 845756 1057195 1154236 1442795 1691512 2114390 2308472 2885590 4228780 5771180 6636857 8368211 8457560 11542360 13273714 16736422 26547428 33184285 33472844 41841055 53094856 66368570 66945688 83682110 91473203 132737140 167364220 182946406 192468853 265474280 334728440 365892812 384937706 457366015 731785624 769875412 914732030 962344265 1539750824 1829464060 1924688530 2103883669 2652722887 3658928120 3849377060 4207767338 5305445774 7698754120 8415534676 10519418345 10610891548 13263614435 16831069352 21038836690 21221783096 26527228870 42077673380 53054457740 61012626401 84155346760 106108915480 122025252802 244050505604 305063132005 488101011208 610126264010 1220252528020 2440505056040