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2442001444240 = 245271641175723
BaseRepresentation
bin100011100010010010101…
…000001110110110010000
322122110020021112122210211
4203202102220032312100
5310002204332203430
65105501233533504
7341300033535211
oct43422250166620
98573207478724
102442001444240
11861713174976
12335339414294
131493837b67a7
148629cd73408
15437c6e5872a
hex23892a0ed90

2442001444240 has 80 divisors (see below), whose sum is σ = 5707526766336. Its totient is φ = 971672371200.

The previous prime is 2442001444231. The next prime is 2442001444241. The reversal of 2442001444240 is 424441002442.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2442001444241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13809019 + ... + 13984741.

Almost surely, 22442001444240 is an apocalyptic number.

2442001444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442001444240 is an abundant number, since it is smaller than the sum of its proper divisors (3265525322096).

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

2442001444240 is a wasteful number, since it uses less digits than its factorization.

2442001444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176648 (or 176642 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 2442001444240 its reverse (424441002442), we get a palindrome (2866442446682).

The spelling of 2442001444240 in words is "two trillion, four hundred forty-two billion, one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 271 542 641 1084 1282 1355 2168 2564 2710 3205 4336 5128 5420 6410 10256 10840 12820 21680 25640 51280 173711 175723 347422 351446 694844 702892 868555 878615 1389688 1405784 1737110 1757230 2779376 2811568 3474220 3514460 6948440 7028920 13896880 14057840 47620933 95241866 112638443 190483732 225276886 238104665 380967464 450553772 476209330 563192215 761934928 901107544 952418660 1126384430 1802215088 1904837320 2252768860 3809674640 4505537720 9011075440 30525018053 61050036106 122100072212 152625090265 244200144424 305250180530 488400288848 610500361060 1221000722120 2442001444240