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20144332401330 = 23517291578675311
BaseRepresentation
bin1001001010010001101111…
…10001101110101010110010
32122022210001011100011202110
410211020313301232222302
510120021043043320310
6110502102322230150
74146244223133564
oct445106761565262
978283034304673
1020144332401330
11646718852a445
1223141341b5356
13b317aa5cb1c7
144d8dc3009334
1524e0010dbd20
hex125237c6eab2

20144332401330 has 128 divisors (see below), whose sum is σ = 53292788628480. Its totient is φ = 4850400522240.

The previous prime is 20144332401317. The next prime is 20144332401341. The reversal of 20144332401330 is 3310423344102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015626 + ... + 6659685.

It is an arithmetic number, because the mean of its divisors is an integer number (416349911160).

Almost surely, 220144332401330 is an apocalyptic number.

20144332401330 is an abundant number, since it is smaller than the sum of its proper divisors (33148456227150).

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

20144332401330 is a wasteful number, since it uses less digits than its factorization.

20144332401330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8675524.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20144332401330 its reverse (3310423344102), we get a palindrome (23454755745432).

The spelling of 20144332401330 in words is "twenty trillion, one hundred forty-four billion, three hundred thirty-two million, four hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 157 170 174 255 290 314 435 471 493 510 785 870 942 986 1479 1570 2355 2465 2669 2958 4553 4710 4930 5338 7395 8007 9106 13345 13659 14790 16014 22765 26690 27318 40035 45530 68295 77401 80070 136590 154802 232203 387005 464406 774010 1161015 2322030 8675311 17350622 26025933 43376555 52051866 86753110 130129665 147480287 251584019 260259330 294960574 442440861 503168038 737401435 754752057 884881722 1257920095 1362023827 1474802870 1509504114 2212204305 2515840190 2724047654 3773760285 4086071481 4276928323 4424408610 6810119135 7547520570 8172142962 8553856646 12830784969 13620238270 20430357405 21384641615 23154405059 25661569938 39498690983 40860714810 42769283230 46308810118 64153924845 69463215177 78997381966 115772025295 118496072949 128307849690 138926430354 197493454915 231544050590 236992145898 347316075885 394986909830 592480364745 671477746711 694632151770 1184960729490 1342955493422 2014433240133 3357388733555 4028866480266 6714777467110 10072166200665 20144332401330