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4541340156144 = 2431139172195819
BaseRepresentation
bin100001000010101110011…
…1101111000000011110000
3121002010222210200221021220
41002011130331320003300
51043401131034444034
613354132440145040
7646046433262161
oct102053475700360
917063883627256
104541340156144
1114a0a76142270
12614185768180
1326c32885365c
14119b32b05768
157d1e6098749
hex4215cf780f0

4541340156144 has 80 divisors (see below), whose sum is σ = 12801595466880. Its totient is φ = 1375811726080.

The previous prime is 4541340156103. The next prime is 4541340156191. The reversal of 4541340156144 is 4416510431454.

It is a junction number, because it is equal to n+sod(n) for n = 4541340156096 and 4541340156105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970267 + ... + 3166085.

It is an arithmetic number, because the mean of its divisors is an integer number (160019943336).

Almost surely, 24541340156144 is an apocalyptic number.

4541340156144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4541340156144 is an abundant number, since it is smaller than the sum of its proper divisors (8260255310736).

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

4541340156144 is a wasteful number, since it uses less digits than its factorization.

4541340156144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199758 (or 2199752 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 4541340156144 its reverse (4416510431454), we get a palindrome (8957850587598).

The spelling of 4541340156144 in words is "four trillion, five hundred forty-one billion, three hundred forty million, one hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3917 7834 11751 15668 23502 31336 43087 47004 62672 86174 94008 129261 172348 188016 258522 344696 517044 689392 1034088 2068176 2195819 4391638 6587457 8783276 13174914 17566552 24154009 26349828 35133104 48308018 52699656 72462027 96616036 105399312 144924054 193232072 289848108 386464144 579696216 1159392432 8601023023 17202046046 25803069069 34404092092 51606138138 68808184184 94611253253 103212276276 137616368368 189222506506 206424552552 283833759759 378445013012 412849105104 567667519518 756890026024 1135335039036 1513780052048 2270670078072 4541340156144