Search a number
-
+
332000212414430 = 25724783173686607
BaseRepresentation
bin100101101111100111101001…
…0101110011110111111011110
31121112111220120122011222010102
41023133033102232132333132
5322003442413334230210
63134034443025141102
7126634136522155400
oct11337172256367736
91545456518158112
10332000212414430
119687055475347a
123129ba4748a792
13113336410bb231
145bdac78966b70
15285b14a0c2ea5
hex12df3d2b9efde

332000212414430 has 96 divisors (see below), whose sum is σ = 718512317945856. Its totient is φ = 110064507475776.

The previous prime is 332000212414363. The next prime is 332000212414433. The reversal of 332000212414430 is 34414212000233.

It is a super-2 number, since 2×3320002124144302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332000212414393 and 332000212414402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332000212414433) 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, 84931814 + ... + 88754793.

It is an arithmetic number, because the mean of its divisors is an integer number (7484503311936).

Almost surely, 2332000212414430 is an apocalyptic number.

332000212414430 is an abundant number, since it is smaller than the sum of its proper divisors (386512105531426).

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

332000212414430 is a wasteful number, since it uses less digits than its factorization.

332000212414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173686758 (or 173686751 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 332000212414430 its reverse (34414212000233), we get a palindrome (366414424414663).

The spelling of 332000212414430 in words is "three hundred thirty-two trillion, two hundred twelve million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 47 49 70 83 94 98 166 235 245 329 415 470 490 581 658 830 1162 1645 2303 2905 3290 3901 4067 4606 5810 7802 8134 11515 19505 20335 23030 27307 39010 40670 54614 136535 191149 273070 382298 955745 1911490 173686607 347373214 868433035 1215806249 1736866070 2431612498 6079031245 8163270529 8510643743 12158062490 14415988381 16326541058 17021287486 28831976762 40816352645 42553218715 57142893703 72079941905 81632705290 85106437430 100911918667 114285787406 144159883810 201823837334 285714468515 400000255921 504559593335 571428937030 677551453907 706383430669 800000511842 1009119186670 1355102907814 1412766861338 2000001279605 3387757269535 3531917153345 4000002559210 4742860177349 6775514539070 7063834306690 9485720354698 23714300886745 33200021241443 47428601773490 66400042482886 166000106207215 332000212414430