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442432130113422 = 23341599909136697
BaseRepresentation
bin110010010011000111100000…
…1111100111101111110001110
32011000112002122212002020002000
41210212033001330331332032
5430442302000302112142
64204550303100213130
7162122444425611261
oct14446170174757616
92130462585066060
10442432130113422
11118a7745a2a3699
124175638923a1a6
1315cb422b482637
147b37b87a68cd8
153623a1d36014c
hex19263c1f3df8e

442432130113422 has 128 divisors (see below), whose sum is σ = 1008982445184000. Its totient is φ = 143620452518400.

The previous prime is 442432130113403. The next prime is 442432130113469. The reversal of 442432130113422 is 224311031234244.

442432130113422 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 3 + 2 + 1 + 301 + 1 + 342 + 2 = 666.

It is a super-2 number, since 2×4424321301134222 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12056338578 + ... + 12056375274.

It is an arithmetic number, because the mean of its divisors is an integer number (7882675353000).

Almost surely, 2442432130113422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442432130113422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504491222592000).

442432130113422 is an abundant number, since it is smaller than the sum of its proper divisors (566550315070578).

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

442432130113422 is a wasteful number, since it uses less digits than its factorization.

442432130113422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46439 (or 46433 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 442432130113422 its reverse (224311031234244), we get a palindrome (666743161347666).

The spelling of 442432130113422 in words is "four hundred forty-two trillion, four hundred thirty-two billion, one hundred thirty million, one hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 599 738 1107 1198 1797 2214 3594 5391 9091 10782 16173 18182 24559 27273 32346 36697 49118 54546 73394 73677 81819 110091 147354 163638 220182 221031 245457 330273 372731 442062 490914 660546 663093 745462 990819 1118193 1326186 1504577 1981638 2236386 3009154 3354579 4513731 5445509 6709158 9027462 10063737 10891018 13541193 16336527 20127474 21981503 27082386 32673054 40623579 43963006 49009581 65944509 81247158 98019162 131889018 147028743 197833527 223265869 294057486 333612427 395667054 446531738 593500581 667224854 669797607 901241623 1000837281 1187001162 1339595214 1802483246 2001674562 2009392821 2703724869 3002511843 4018785642 5407449738 6005023686 6028178463 8111174607 9007535529 12056356926 13678109507 16222349214 18015071058 24333523821 27356219014 41034328521 48667047642 82068657042 123102985563 199833843773 246205971126 369308956689 399667687546 599501531319 738617913378 1199003062638 1798504593957 3597009187914 5395513781871 8193187594693 10791027563742 16386375189386 24579562784079 49159125568158 73738688352237 147477376704474 221216065056711 442432130113422