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332414201033420 = 225112718396645469
BaseRepresentation
bin100101110010101000011011…
…0010111101111001011001100
31121120222111011012210210212212
41023211100312113233023030
5322032233240431032140
63134552550434045552
7130006063533314222
oct11345206627571314
91546874135723785
10332414201033420
1196a10086510310
12313481234198b8
13113636a88820cc
145c12d0c8bcb12
152866cc9b02765
hex12e54365ef2cc

332414201033420 has 96 divisors (see below), whose sum is σ = 765251920742400. Its totient is φ = 120288287174400.

The previous prime is 332414201033419. The next prime is 332414201033441. The reversal of 332414201033420 is 24330102414233.

It is a super-2 number, since 2×3324142010334202 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46698446 + ... + 53343914.

It is an arithmetic number, because the mean of its divisors is an integer number (7971374174400).

Almost surely, 2332414201033420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332414201033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382625960371200).

332414201033420 is an abundant number, since it is smaller than the sum of its proper divisors (432837719708980).

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

332414201033420 is a wasteful number, since it uses less digits than its factorization.

332414201033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646599 (or 6646597 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 332414201033420 its reverse (24330102414233), we get a palindrome (356744303447653).

The spelling of 332414201033420 in words is "three hundred thirty-two trillion, four hundred fourteen billion, two hundred one million, thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 839 1084 1355 1678 2710 2981 3356 4195 5420 5962 8390 9229 11924 14905 16780 18458 29810 36916 46145 59620 92290 184580 227369 454738 909476 1136845 2273690 2501059 4547380 5002118 6645469 10004236 12505295 13290938 25010590 26581876 33227345 50021180 66454690 73100159 132909380 146200318 292400636 365500795 731001590 1462003180 1800922099 3601844198 5575548491 7203688396 9004610495 11151096982 18009220990 19810143089 22302193964 27877742455 36018441980 39620286178 55755484910 61331033401 79240572356 99050715445 111510969820 122662066802 198101430890 245324133604 306655167005 396202861780 613310334010 1226620668020 1510973641061 3021947282122 6043894564244 7554868205305 15109736410610 16620710051671 30219472821220 33241420103342 66482840206684 83103550258355 166207100516710 332414201033420