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332366086144 = 2205632
BaseRepresentation
bin1001101011000101001…
…00000000000000000000
31011202220011102120010101
410311202210000000000
520421141204224034
6412404210412144
733004225055461
oct4654244000000
91152804376111
10332366086144
11118a56a99924
12544b8891054
132545a467081
141212d8dcd68
1589a3db0514
hex4d62900000

332366086144 has 63 divisors (see below), whose sum is σ = 665914648483. Its totient is φ = 165887868928.

The previous prime is 332366086133. The next prime is 332366086163. The reversal of 332366086144 is 441680663233.

It is a happy number.

The square root of 332366086144 is 576512.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×3323660861442 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332366086094 and 332366086103.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 590348007 + ... + 590348569.

Almost surely, 2332366086144 is an apocalyptic number.

332366086144 is the 576512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332366086144

332366086144 is an abundant number, since it is smaller than the sum of its proper divisors (333548562339).

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

332366086144 is an frugal number, since it uses more digits than its factorization.

332366086144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 332366086144 in words is "three hundred thirty-two billion, three hundred sixty-six million, eighty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 563 1024 1126 2048 2252 4096 4504 8192 9008 16384 18016 32768 36032 65536 72064 131072 144128 262144 288256 316969 524288 576512 633938 1048576 1153024 1267876 2306048 2535752 4612096 5071504 9224192 10143008 18448384 20286016 36896768 40572032 73793536 81144064 147587072 162288128 295174144 324576256 590348288 649152512 1298305024 2596610048 5193220096 10386440192 20772880384 41545760768 83091521536 166183043072 332366086144