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2440472130540 = 22325103727181063
BaseRepresentation
bin100011100000110111011…
…110010111001111101100
322122022021200212110210200
4203200313132113033230
5304441041331134130
65105045403233500
7341214113560533
oct43406736271754
98568250773720
102440472130540
11860aa8992954
12334b91218890
1314919b9cca42
1486195bdd31a
1543737a6d760
hex238377973ec

2440472130540 has 144 divisors (see below), whose sum is σ = 7484959792128. Its totient is φ = 643584154752.

The previous prime is 2440472130479. The next prime is 2440472130553. The reversal of 2440472130540 is 450312740442.

2440472130540 is a `hidden beast` number, since 2 + 4 + 4 + 0 + 472 + 130 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2440472130495 and 2440472130504.

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, 13388049 + ... + 13569111.

Almost surely, 22440472130540 is an apocalyptic number.

2440472130540 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 2440472130540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742479896064).

2440472130540 is an abundant number, since it is smaller than the sum of its proper divisors (5044487661588).

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

2440472130540 is a wasteful number, since it uses less digits than its factorization.

2440472130540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181908 (or 181903 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 2440472130540 its reverse (450312740442), we get a palindrome (2890784870982).

The spelling of 2440472130540 in words is "two trillion, four hundred forty billion, four hundred seventy-two million, one hundred thirty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 727 927 1030 1236 1454 1545 1854 2060 2181 2908 3090 3635 3708 4362 4635 6180 6543 7270 8724 9270 10905 13086 14540 18540 21810 26172 32715 43620 65430 74881 130860 149762 181063 224643 299524 362126 374405 449286 543189 673929 724252 748810 898572 905315 1086378 1123215 1347858 1497620 1629567 1810630 2172756 2246430 2695716 2715945 3259134 3369645 3621260 4492860 5431890 6518268 6739290 8147835 10863780 13478580 16295670 18649489 32591340 37298978 55948467 74597956 93247445 111896934 131632801 167845401 186494890 223793868 263265602 279742335 335690802 372989780 394898403 526531204 559484670 658164005 671381604 789796806 839227005 1118969340 1184695209 1316328010 1579593612 1678454010 1974492015 2369390418 2632656020 3356908020 3948984030 4738780836 5923476045 7897968060 11846952090 13558178503 23693904180 27116357006 40674535509 54232714012 67790892515 81349071018 122023606527 135581785030 162698142036 203372677545 244047213054 271163570060 406745355090 488094426108 610118032635 813490710180 1220236065270 2440472130540