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442032022312443 = 321792634992090749
BaseRepresentation
bin110010010000001101001100…
…1101010110101010111111011
32010222002211220122122222221100
41210200122121222311113323
5430414223040202444233
64204042412505342443
7162051521404454553
oct14440323152652773
92128084818588840
10442032022312443
11118932800931882
12416b0925a97a23
1315c855966cbb44
147b2266d444163
153618402270813
hex1920699ab55fb

442032022312443 has 48 divisors (see below), whose sum is σ = 645790860000000. Its totient is φ = 291342321699264.

The previous prime is 442032022312421. The next prime is 442032022312451. The reversal of 442032022312443 is 344213220230244.

442032022312443 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 3 + 202 + 2 + 3 + 1 + 2 + 443 = 666.

It is not a de Polignac number, because 442032022312443 - 26 = 442032022312379 is a prime.

It is a super-2 number, since 2×4420320223124432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442032022312398 and 442032022312407.

It is not an unprimeable number, because it can be changed into a prime (442032022312453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210377433 + ... + 212468181.

It is an arithmetic number, because the mean of its divisors is an integer number (13453976250000).

Almost surely, 2442032022312443 is an apocalyptic number.

442032022312443 is a deficient number, since it is larger than the sum of its proper divisors (203758837687557).

442032022312443 is a wasteful number, since it uses less digits than its factorization.

442032022312443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091696 (or 2091693 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 442032022312443 its reverse (344213220230244), we get a palindrome (786245242542687).

The spelling of 442032022312443 in words is "four hundred forty-two trillion, thirty-two billion, twenty-two million, three hundred twelve thousand, four hundred forty-three".

Divisors: 1 3 9 179 263 499 537 789 1497 1611 2367 4491 47077 89321 131237 141231 267963 393711 423693 803889 1181133 2090749 6272247 18816741 23491423 70474269 211422807 374244071 549866987 1043283751 1122732213 1649600961 3129851253 3368196639 4948802883 9389553759 98426190673 186747791429 274383626513 295278572019 560243374287 823150879539 885835716057 1680730122861 2469452638617 49114669145827 147344007437481 442032022312443