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1414223440020 = 2232561821915671
BaseRepresentation
bin10100100101000110010…
…010010010100010010100
312000012100122220102010200
4110211012102102202110
5141132312200040040
63001404004220500
7204113526620136
oct24450622224224
95005318812120
101414223440020
114a58502992a6
121aa10469a730
13a348c5b9181
144c63d647056
1526bc1bcc630
hex14946492894

1414223440020 has 144 divisors (see below), whose sum is σ = 4360944631680. Its totient is φ = 370875052800.

The previous prime is 1414223439997. The next prime is 1414223440031. The reversal of 1414223440020 is 200443224141.

1414223440020 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 2 + 234 + 400 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90236785 + ... + 90252455.

It is an arithmetic number, because the mean of its divisors is an integer number (30284337720).

Almost surely, 21414223440020 is an apocalyptic number.

1414223440020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414223440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180472315840).

1414223440020 is an abundant number, since it is smaller than the sum of its proper divisors (2946721191660).

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

1414223440020 is a wasteful number, since it uses less digits than its factorization.

1414223440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23966 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1414223440020 its reverse (200443224141), we get a palindrome (1614666664161).

The spelling of 1414223440020 in words is "one trillion, four hundred fourteen billion, two hundred twenty-three million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 8219 10980 15671 16438 24657 31342 32876 41095 47013 49314 62684 73971 78355 82190 94026 98628 123285 141039 147942 156710 164380 188052 235065 246570 282078 295884 313420 369855 470130 493140 501359 564156 705195 739710 940260 955931 1002718 1410390 1479420 1504077 1911862 2005436 2506795 2820780 2867793 3008154 3823724 4512231 4779655 5013590 5735586 6016308 7520385 8603379 9024462 9559310 10027180 11471172 14338965 15040770 17206758 18048924 19118620 22561155 28677930 30081540 34413516 43016895 45122310 57355860 86033790 90244620 128799949 172067580 257599898 386399847 515199796 643999745 772799694 1159199541 1287999490 1545599388 1931999235 2318399082 2575998980 3863998470 4636798164 5795997705 7727996940 7856796889 11591995410 15713593778 23183990820 23570390667 31427187556 39283984445 47140781334 70711172001 78567968890 94281562668 117851953335 141422344002 157135937780 235703906670 282844688004 353555860005 471407813340 707111720010 1414223440020