Search a number
-
+
442244423625552 = 243248713421469879
BaseRepresentation
bin110010010001110000000110…
…1110001100010101101010000
32010222212011011021012122212200
41210203200031301202231100
5430431213034422004202
64204324141122523200
7162103051042026432
oct14443401561425520
92128764137178780
10442244423625552
11118a04896937079
1241725b22806500
1315c9c6160639c2
147b2ca5c56a652
15361dbd42d7e1c
hex192380dc62b50

442244423625552 has 120 divisors (see below), whose sum is σ = 1240306622855040. Its totient is φ = 147100833665280.

The previous prime is 442244423625551. The next prime is 442244423625581. The reversal of 442244423625552 is 255526324442244.

442244423625552 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 4 + 4 + 4 + 2 + 3 + 625 + 5 + 5 + 2 = 666.

It is a super-3 number, since 3×4422444236255523 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442244423625551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940952949 + ... + 941422827.

It is an arithmetic number, because the mean of its divisors is an integer number (10335888523792).

Almost surely, 2442244423625552 is an apocalyptic number.

It is an amenable number.

442244423625552 is an abundant number, since it is smaller than the sum of its proper divisors (798062199229488).

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

442244423625552 is a wasteful number, since it uses less digits than its factorization.

442244423625552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483801 (or 483792 counting only the distinct ones).

The product of its digits is 73728000, while the sum is 54.

The spelling of 442244423625552 in words is "four hundred forty-two trillion, two hundred forty-four billion, four hundred twenty-three million, six hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 487 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 13421 17532 23376 26842 35064 40263 53684 70128 80526 107368 120789 161052 214736 241578 322104 469879 483156 644208 939758 966312 1409637 1879516 1932624 2819274 3759032 4228911 5638548 6536027 7518064 8457822 11277096 13072054 16915644 19608081 22554192 26144108 33831288 39216162 52288216 58824243 67662576 78432324 104576432 117648486 156864648 228831073 235296972 313729296 457662146 470593944 686493219 915324292 941187888 1372986438 1830648584 2059479657 2745972876 3661297168 4118959314 5491945752 6306246059 8237918628 10983891504 12612492118 16475837256 18918738177 25224984236 32951674512 37837476354 50449968472 56756214531 75674952708 100899936944 113512429062 151349905416 227024858124 302699810832 454049716248 908099432496 3071141830733 6142283661466 9213425492199 12284567322932 18426850984398 24569134645864 27640276476597 36853701968796 49138269291728 55280552953194 73707403937592 110561105906388 147414807875184 221122211812776 442244423625552