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442530140450240 = 26518121136210277
BaseRepresentation
bin110010010011110101001001…
…1110100101110110111000000
32011000212110122100211012112202
41210213222103310232313000
5431000403211423401430
64205103312350012332
7162132514262666423
oct14447522364566700
92130773570735482
10442530140450240
11119004a84602357
12417713807a70a8
1315cc054a9c698b
147b3c8047619ba
153626357a79d45
hex1927a93d2edc0

442530140450240 has 112 divisors (see below), whose sum is σ = 1064618673160224. Its totient is φ = 175199799398400.

The previous prime is 442530140450219. The next prime is 442530140450249. The reversal of 442530140450240 is 42054041035244.

It is a junction number, because it is equal to n+sod(n) for n = 442530140450194 and 442530140450203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442530140450249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5884019 + ... + 30326258.

It is an arithmetic number, because the mean of its divisors is an integer number (9505523867502).

Almost surely, 2442530140450240 is an apocalyptic number.

442530140450240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442530140450240 is an abundant number, since it is smaller than the sum of its proper divisors (622088532709984).

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

442530140450240 is a wasteful number, since it uses less digits than its factorization.

442530140450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36210686 (or 36210676 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 442530140450240 its reverse (42054041035244), we get a palindrome (484584181485484).

The spelling of 442530140450240 in words is "four hundred forty-two trillion, five hundred thirty billion, one hundred forty million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 211 320 362 422 724 844 905 1055 1448 1688 1810 2110 2896 3376 3620 4220 5792 6752 7240 8440 11584 13504 14480 16880 28960 33760 38191 57920 67520 76382 152764 190955 305528 381910 611056 763820 1222112 1527640 2444224 3055280 6110560 12221120 36210277 72420554 144841108 181051385 289682216 362102770 579364432 724205540 1158728864 1448411080 2317457728 2896822160 5793644320 6554060137 7640368447 11587288640 13108120274 15280736894 26216240548 30561473788 32770300685 38201842235 52432481096 61122947576 65540601370 76403684470 104864962192 122245895152 131081202740 152807368940 209729924384 244491790304 262162405480 305614737880 419459848768 488983580608 524324810960 611229475760 1048649621920 1222458951520 1382906688907 2097299243840 2444917903040 2765813377814 5531626755628 6914533444535 11063253511256 13829066889070 22126507022512 27658133778140 44253014045024 55316267556280 88506028090048 110632535112560 221265070225120 442530140450240