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2442020002242 = 2317317940124379
BaseRepresentation
bin100011100010010011101…
…111000001100111000010
322122110021120110111121020
4203202103233001213002
5310002224110032432
65105503135410310
7341300350350162
oct43422357014702
98573246414536
102442020002242
1186172269a867
12335343683996
131493875b3762
14862a16045a2
15437c88c222c
hex23893bc19c2

2442020002242 has 128 divisors (see below), whose sum is σ = 5419428249600. Its totient is φ = 730169856000.

The previous prime is 2442020002231. The next prime is 2442020002267. The reversal of 2442020002242 is 2422000202442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100156809 + ... + 100181187.

It is an arithmetic number, because the mean of its divisors is an integer number (42339283200).

Almost surely, 22442020002242 is an apocalyptic number.

2442020002242 is an abundant number, since it is smaller than the sum of its proper divisors (2977408247358).

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

2442020002242 is a wasteful number, since it uses less digits than its factorization.

2442020002242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24912.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 2442020002242 its reverse (2422000202442), we get a palindrome (4864020204684).

The spelling of 2442020002242 in words is "two trillion, four hundred forty-two billion, twenty million, two thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 31 34 51 62 79 93 102 158 186 237 401 474 527 802 1054 1203 1343 1581 2406 2449 2686 3162 4029 4898 6817 7347 8058 12431 13634 14694 20451 24379 24862 31679 37293 40902 41633 48758 63358 73137 74586 83266 95037 124899 146274 190074 211327 249798 414443 422654 538543 633981 755749 828886 982049 1077086 1243329 1267962 1511498 1615629 1925941 1964098 2267247 2486658 2946147 3231258 3851882 4534494 5777823 5892294 9775979 11555646 12847733 16694833 19551958 25695466 29327937 32740997 33389666 38543199 50084499 58655874 59704171 65481994 77086398 98222991 100168998 119408342 166191643 179112513 196445982 303055349 332383286 358225026 498574929 606110698 772302341 909166047 997149858 1014970907 1544604682 1818332094 2029941814 2316907023 3044912721 4633814046 5151940933 6089825442 10303881866 13129139797 15455822799 23941372571 26258279594 30911645598 39387419391 47882745142 71824117713 78774838782 143648235426 407003333707 814006667414 1221010001121 2442020002242