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2443200023442 = 23193137101184999
BaseRepresentation
bin100011100011011010000…
…100011100101110010010
322122120022210212210101010
4203203122010130232102
5310012133201222232
65110220211351350
7341341526355213
oct43433204345622
98576283783333
102443200023442
118621787a01a2
123356128b2556
13149514c01359
148637421340a
15438472b30cc
hex238da11cb92

2443200023442 has 128 divisors (see below), whose sum is σ = 5507020800000. Its totient is φ = 719272224000.

The previous prime is 2443200023399. The next prime is 2443200023507.

2443200023442 is nontrivially palindromic in base 10.

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, 13114059 + ... + 13299057.

It is an arithmetic number, because the mean of its divisors is an integer number (43023600000).

Almost surely, 22443200023442 is an apocalyptic number.

2443200023442 is an abundant number, since it is smaller than the sum of its proper divisors (3063820776558).

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

2443200023442 is a wasteful number, since it uses less digits than its factorization.

2443200023442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185192.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 24432000 and 23442, that added together give a palindrome (24455442).

The spelling of 2443200023442 in words is "two trillion, four hundred forty-three billion, two hundred million, twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 19 31 37 38 57 62 74 93 101 111 114 186 202 222 303 589 606 703 1147 1178 1406 1767 1919 2109 2294 3131 3441 3534 3737 3838 4218 5757 6262 6882 7474 9393 11211 11514 18786 21793 22422 43586 59489 65379 71003 115847 118978 130758 142006 178467 184999 213009 231694 347541 356934 369998 426018 554997 695082 1109994 2201093 3514981 4402186 5734969 6603279 6844963 7029962 10544943 11469938 13206558 13689926 17204907 18684899 20534889 21089886 34409814 37369798 41069778 56054697 108964411 112109394 130054297 212193853 217928822 260108594 326893233 355013081 390162891 424387706 579231869 636581559 653786466 691341263 710026162 780325782 1065039243 1158463738 1273163118 1382682526 1737695607 2074023789 2130078486 3475391214 4031683207 4148047578 8063366414 11005405511 12095049621 13135483997 21431579153 22010811022 24190099242 26270967994 33016216533 39406451991 42863158306 64294737459 66032433066 78812903982 128589474918 407200003907 814400007814 1221600011721 2443200023442