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144055150101 = 322916316991993
BaseRepresentation
bin1000011000101001011…
…0110010011000010101
3111202211110011211220200
42012022112302120111
54330011104300401
6150102241451113
713256551400232
oct2061226623025
9452743154820
10144055150101
1156103416465
1223b03940a99
1310779a52cb5
146d8801a789
153b31c3c686
hex218a5b2615

144055150101 has 48 divisors (see below), whose sum is σ = 216811608000. Its totient is φ = 92055833856.

The previous prime is 144055150073. The next prime is 144055150111. The reversal of 144055150101 is 101051550441.

144055150101 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 551 + 5 + 0 + 101 = 666.

It is not a de Polignac number, because 144055150101 - 26 = 144055150037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144055150111) 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, 72279561 + ... + 72281553.

It is an arithmetic number, because the mean of its divisors is an integer number (4516908500).

Almost surely, 2144055150101 is an apocalyptic number.

It is an amenable number.

144055150101 is a deficient number, since it is larger than the sum of its proper divisors (72756457899).

144055150101 is a wasteful number, since it uses less digits than its factorization.

144055150101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 144055150101 in words is "one hundred forty-four billion, fifty-five million, one hundred fifty thousand, one hundred one".

Divisors: 1 3 9 29 87 163 261 489 1467 1699 1993 4727 5097 5979 14181 15291 17937 42543 49271 57797 147813 173391 276937 324859 443439 520173 830811 974577 2492433 2923731 3386107 8031173 9420911 10158321 24093519 28262733 30474963 72280557 84788199 98197103 294591309 551935441 883773927 1655806323 4967418969 16006127789 48018383367 144055150101