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144627906501 = 32132195004599
BaseRepresentation
bin1000011010110001111…
…1101011011111000101
3111211022100220212222200
42012230133223133011
54332144221002001
6150235141545113
713310004631041
oct2065437533705
9454270825880
10144627906501
1156377756861
1224043715199
131083b600400
147000111021
153b67178086
hex21ac7eb7c5

144627906501 has 36 divisors (see below), whose sum is σ = 238118868000. Its totient is φ = 84317467104.

The previous prime is 144627906499. The next prime is 144627906517. The reversal of 144627906501 is 105609726441.

144627906501 is a `hidden beast` number, since 14 + 4 + 62 + 79 + 0 + 6 + 501 = 666.

It is not a de Polignac number, because 144627906501 - 21 = 144627906499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144627906001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2473401 + ... + 2531198.

It is an arithmetic number, because the mean of its divisors is an integer number (6614413000).

Almost surely, 2144627906501 is an apocalyptic number.

It is an amenable number.

144627906501 is a deficient number, since it is larger than the sum of its proper divisors (93490961499).

144627906501 is a wasteful number, since it uses less digits than its factorization.

144627906501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5004650 (or 5004634 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 144627906501 in words is "one hundred forty-four billion, six hundred twenty-seven million, nine hundred six thousand, five hundred one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 507 741 1521 2223 3211 9633 28899 5004599 15013797 45041391 65059787 95087381 195179361 285262143 585538083 845777231 855786429 1236135953 2537331693 3708407859 7611995079 11125223577 16069767389 48209302167 144627906501