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144266103564 = 2231159148312491
BaseRepresentation
bin1000011001011011101…
…1100000101100001100
3111210101011010101122220
42012112323200230030
54330424110303224
6150135215135340
713265022435012
oct2062673405414
9453334111586
10144266103564
11562014aa970
1223b62514550
13107b1673b2b
146da80508b2
153b4550c279
hex2196ee0b0c

144266103564 has 96 divisors (see below), whose sum is σ = 373728660480. Its totient is φ = 42943617600.

The previous prime is 144266103547. The next prime is 144266103593. The reversal of 144266103564 is 465301662441.

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 31 ways as a sum of consecutive naturals, for example, 11543359 + ... + 11555849.

It is an arithmetic number, because the mean of its divisors is an integer number (3893006880).

Almost surely, 2144266103564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144266103564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186864330240).

144266103564 is an abundant number, since it is smaller than the sum of its proper divisors (229462556916).

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

144266103564 is a wasteful number, since it uses less digits than its factorization.

144266103564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051 (or 14049 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 144266103564 in words is "one hundred forty-four billion, two hundred sixty-six million, one hundred three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1483 1947 2596 2966 3894 4449 5932 7788 8898 12491 16313 17796 24982 32626 37473 48939 49964 65252 74946 87497 97878 137401 149892 174994 195756 262491 274802 349988 412203 524982 549604 736969 824406 962467 1049964 1473938 1648812 1924934 2210907 2887401 2947876 3849868 4421814 5774802 8106659 8843628 11549604 16213318 18524153 24319977 32426636 37048306 48639954 55572459 74096612 97279908 111144918 203765683 222289836 407531366 611297049 815062732 1092925027 1222594098 2185850054 2445188196 3278775081 4371700108 6557550162 12022175297 13115100324 24044350594 36066525891 48088701188 72133051782 144266103564