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14330545002 = 2332371163997
BaseRepresentation
bin11010101100010101…
…01100001101101010
31100222201110010002000
431112022230031222
5213322104420002
610330001151430
71015060423404
oct152612541552
940881403060
1014330545002
116094245624
12293b32b576
131474c42a37
1499d35bb74
1558d17761c
hex3562ac36a

14330545002 has 128 divisors (see below), whose sum is σ = 33939025920. Its totient is φ = 4472677440.

The previous prime is 14330545001. The next prime is 14330545007. The reversal of 14330545002 is 20054503341.

14330545002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14330545001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14373168 + ... + 14374164.

It is an arithmetic number, because the mean of its divisors is an integer number (265148640).

Almost surely, 214330545002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14330545002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969512960).

14330545002 is an abundant number, since it is smaller than the sum of its proper divisors (19608480918).

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

14330545002 is a wasteful number, since it uses less digits than its factorization.

14330545002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 14330545002 in words is "fourteen billion, three hundred thirty million, five hundred forty-five thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 71 138 142 163 207 213 326 414 426 489 621 639 978 997 1242 1278 1467 1633 1917 1994 2934 2991 3266 3749 3834 4401 4899 5982 7498 8802 8973 9798 11247 11573 14697 17946 22494 22931 23146 26919 29394 33741 34719 44091 45862 53838 67482 68793 69438 70787 88182 101223 104157 137586 141574 162511 202446 206379 208314 212361 266179 312471 325022 412758 424722 487533 532358 619137 624942 637083 798537 975066 1238274 1274166 1462599 1597074 1628101 1911249 2395611 2925198 3256202 3737753 3822498 4387797 4791222 4884303 7186833 7475506 8775594 9768606 11213259 11538281 14373666 14652909 22426518 23076562 29305818 33639777 34614843 43958727 67279554 69229686 87917454 100919331 103844529 201838662 207689058 265380463 311533587 530760926 623067174 796141389 1592282778 2388424167 4776848334 7165272501 14330545002