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1541420331345 = 325316771632143
BaseRepresentation
bin10110011011100011110…
…011111011000101010001
312110100200020021222112200
4112123203303323011101
5200223312101100340
63140041351113413
7216235555431036
oct26334363730521
95410606258480
101541420331345
11544792657394
1220a8a2672869
13b24808157cb
145486871d38d
152a1688e0330
hex166e3cfb151

1541420331345 has 48 divisors (see below), whose sum is σ = 2762057705472. Its totient is φ = 794396154240.

The previous prime is 1541420331331. The next prime is 1541420331377. The reversal of 1541420331345 is 5431330241451.

1541420331345 is a `hidden beast` number, since 1 + 5 + 414 + 203 + 3 + 1 + 34 + 5 = 666.

It is not a de Polignac number, because 1541420331345 - 24 = 1541420331329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128344 + ... + 1760486.

It is an arithmetic number, because the mean of its divisors is an integer number (57542868864).

Almost surely, 21541420331345 is an apocalyptic number.

1541420331345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1541420331345 is a deficient number, since it is larger than the sum of its proper divisors (1220637374127).

1541420331345 is a wasteful number, since it uses less digits than its factorization.

1541420331345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632862 (or 1632859 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 1541420331345 its reverse (5431330241451), we get a palindrome (6972750572796).

The spelling of 1541420331345 in words is "one trillion, five hundred forty-one billion, four hundred twenty million, three hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 677 1395 2031 3385 6093 10155 20987 30465 62961 104935 188883 314805 944415 1632143 4896429 8160715 14689287 24482145 50596433 73446435 151789299 252982165 455367897 758946495 1104960811 2276839485 3314882433 5524804055 9944647299 16574412165 34253785141 49723236495 102761355423 171268925705 308284066269 513806777115 1541420331345