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144926223101 = 112291273131039
BaseRepresentation
bin1000011011111001000…
…1101010101011111101
3111212002011020221102122
42012332101222223331
54333302103114401
6150324515532325
713320256366532
oct2067621525375
9455064227378
10144926223101
1156510090500
12241075ba0a5
131088835bbca
14702b9a6d89
153b8345321b
hex21be46aafd

144926223101 has 48 divisors (see below), whose sum is σ = 166780723200. Its totient is φ = 125682036480.

The previous prime is 144926223053. The next prime is 144926223121. The reversal of 144926223101 is 101322629441.

It is not a de Polignac number, because 144926223101 - 26 = 144926223037 is a prime.

It is a super-2 number, since 2×1449262231012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144926223121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139485740 + ... + 139486778.

It is an arithmetic number, because the mean of its divisors is an integer number (3474598400).

Almost surely, 2144926223101 is an apocalyptic number.

144926223101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144926223101 is a deficient number, since it is larger than the sum of its proper divisors (21854500099).

144926223101 is a wasteful number, since it uses less digits than its factorization.

144926223101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 144926223101 in words is "one hundred forty-four billion, nine hundred twenty-six million, two hundred twenty-three thousand, one hundred one".

Divisors: 1 11 29 121 127 313 319 1039 1397 3443 3509 3683 9077 11429 15367 30131 37873 39751 40513 99847 125719 131953 325207 331441 437261 445643 1098317 1152779 1451483 3577277 3645851 3826637 4809871 9431003 12680569 15966313 39350047 41301289 42093007 103741033 139486259 454314179 463023077 1141151363 1197737381 4997455969 13175111191 144926223101