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145220135351044 = 221319476746676387
BaseRepresentation
bin100001000001001110110010…
…100101001111001100000100
3201001011220112220212011111011
4201001032302211033030010
5123013241314122213134
61232505113104052004
742405544221460465
oct4101166245171404
9631156486764434
10145220135351044
11422a9571585196
1214354775604004
13630527a53ba20
1427c0998dd0d6c
1511bc797c37264
hex8413b294f304

145220135351044 has 96 divisors (see below), whose sum is σ = 298609391646720. Its totient is φ = 61218507411072.

The previous prime is 145220135351021. The next prime is 145220135351077. The reversal of 145220135351044 is 440153531022541.

It is a super-2 number, since 2×1452201353510442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145220135350988 and 145220135351006.

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 31 ways as a sum of consecutive naturals, for example, 20226982 + ... + 26449405.

It is an arithmetic number, because the mean of its divisors is an integer number (3110514496320).

Almost surely, 2145220135351044 is an apocalyptic number.

It is an amenable number.

145220135351044 is an abundant number, since it is smaller than the sum of its proper divisors (153389256295676).

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

145220135351044 is a wasteful number, since it uses less digits than its factorization.

145220135351044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46676537 (or 46676535 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 145220135351044 its reverse (440153531022541), we get a palindrome (585373666373585).

The spelling of 145220135351044 in words is "one hundred forty-five trillion, two hundred twenty billion, one hundred thirty-five million, three hundred fifty-one thousand, forty-four".

Divisors: 1 2 4 13 19 26 38 47 52 67 76 94 134 188 247 268 494 611 871 893 988 1222 1273 1742 1786 2444 2546 3149 3484 3572 5092 6298 11609 12596 16549 23218 33098 40937 46436 59831 66196 81874 119662 163748 239324 777803 1555606 3111212 46676387 93352774 186705548 606793031 886851353 1213586062 1773702706 2193790189 2427172124 3127317929 3547405412 4387580378 6254635858 8775160756 11529067589 12509271716 23058135178 28519272457 40655133077 41682013591 46116270356 57038544914 59419040651 81310266154 83364027182 114077089828 118838081302 146983942663 162620532308 166728054364 237676162604 293967885326 541866176683 587935770652 772447528463 1083732353366 1544895056926 1910791254619 2167464706732 2792694910597 3089790113852 3821582509238 5585389821194 7643165018476 11170779642388 36305033837761 72610067675522 145220135351044