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442010143403100 = 2232524015191223161
BaseRepresentation
bin110010010000000011000000…
…1100101011010110001011100
32010222000202102212122020121200
41210200012001211122301130
5430413343233202344400
64204024353500355500
7162050115256012056
oct14440060145326134
92128022385566550
10442010143403100
111189244a3852418
12416a863a845b90
1315c834ba99633c
147b215957c48d6
153617a715b0b00
hex192018195ac5c

442010143403100 has 108 divisors (see below), whose sum is σ = 1385460821603040. Its totient is φ = 117868981651200.

The previous prime is 442010143403041. The next prime is 442010143403131. The reversal of 442010143403100 is 1304341010244.

442010143403100 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 1 + 0 + 1 + 4 + 340 + 310 + 0 = 666.

It is a super-2 number, since 2×4420101434031002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 360755520 + ... + 361978680.

Almost surely, 2442010143403100 is an apocalyptic number.

It is an amenable number.

442010143403100 is an abundant number, since it is smaller than the sum of its proper divisors (943450678199940).

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

442010143403100 is a wasteful number, since it uses less digits than its factorization.

442010143403100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624700 (or 1624690 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 442010143403100 its reverse (1304341010244), we get a palindrome (443314484413344).

The spelling of 442010143403100 in words is "four hundred forty-two trillion, ten billion, one hundred forty-three million, four hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 401519 803038 1204557 1223161 1606076 2007595 2409114 2446322 3613671 3669483 4015190 4818228 4892644 6022785 6115805 7227342 7338966 8030380 10037975 11008449 12045570 12231610 14454684 14677932 18068355 18347415 20075950 22016898 24091140 24463220 30113925 30579025 36136710 36694830 40151900 44033796 55042245 60227850 61158050 72273420 73389660 90341775 91737075 110084490 120455700 122316100 180683550 183474150 220168980 275211225 361367100 366948300 550422450 1100844900 491122381559 982244763118 1473367144677 1964489526236 2455611907795 2946734289354 4420101434031 4911223815590 5893468578708 7366835723385 8840202868062 9822447631180 12278059538975 14733671446770 17680405736124 22100507170155 24556119077950 29467342893540 36834178616925 44201014340310 49112238155900 73668357233850 88402028680620 110502535850775 147336714467700 221005071701550 442010143403100