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145241543414656 = 2713293009813151
BaseRepresentation
bin100001000001100010101110…
…100110100001001110000000
3201001020221210212220110220001
4201001202232212201032000
5123014114140103232111
61232523013253125344
742410232562143223
oct4101425646411600
9631227725813801
10145241543414656
1142307657900247
121435894b029854
1363072ac8594a0
1427c1a2a2c75ba
1511bd0ec3dc1c1
hex8418ae9a1380

145241543414656 has 64 divisors (see below), whose sum is σ = 322350988579200. Its totient is φ = 64723021977600.

The previous prime is 145241543414641. The next prime is 145241543414701. The reversal of 145241543414656 is 656414345142541.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 145241543414597 and 145241543414606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504858320 + ... + 1504954831.

It is an arithmetic number, because the mean of its divisors is an integer number (5036734196550).

Almost surely, 2145241543414656 is an apocalyptic number.

145241543414656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145241543414656 is an abundant number, since it is smaller than the sum of its proper divisors (177109445164544).

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

145241543414656 is a wasteful number, since it uses less digits than its factorization.

145241543414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009813207 (or 3009813195 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 55.

The spelling of 145241543414656 in words is "one hundred forty-five trillion, two hundred forty-one billion, five hundred forty-three million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 377 416 464 754 832 928 1508 1664 1856 3016 3712 6032 12064 24128 48256 3009813151 6019626302 12039252604 24078505208 39127570963 48157010416 78255141926 87284581379 96314020832 156510283852 174569162758 192628041664 313020567704 349138325516 385256083328 626041135408 698276651032 1134699557927 1252082270816 1396553302064 2269399115854 2504164541632 2793106604128 4538798231708 5008329083264 5586213208256 9077596463416 11172426416512 18155192926832 36310385853664 72620771707328 145241543414656