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21341703744 = 263420292
BaseRepresentation
bin10011111000000100…
…001000111001000000
32001002100011212210000
4103320010020321000
5322201434004434
613445414440000
71353603326424
oct237004107100
961070155700
1021341703744
119061920999
124177363000
132021654a8a
141066580b84
1584d947b99
hex4f8108e40

21341703744 has 105 divisors (see below), whose sum is σ = 63294690657. Its totient is φ = 7110395136.

The previous prime is 21341703737. The next prime is 21341703769. The reversal of 21341703744 is 44730714312.

The square root of 21341703744 is 146088.

It is a perfect power (a square), and thus also a powerful number.

21341703744 is a `hidden beast` number, since 213 + 4 + 1 + 70 + 374 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21173742144 + 167961600 = 145512^2 + 12960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21341703699 and 21341703708.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10517322 + ... + 10519350.

Almost surely, 221341703744 is an apocalyptic number.

21341703744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21341703744 is the 146088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21341703744

21341703744 is an abundant number, since it is smaller than the sum of its proper divisors (41952986913).

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

21341703744 is an frugal number, since it uses more digits than its factorization.

21341703744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Multiplying 21341703744 by its sum of digits (36), we get a square (768301334784 = 8765282).

21341703744 divided by its sum of digits (36) gives a square (592825104 = 243482).

The spelling of 21341703744 in words is "twenty-one billion, three hundred forty-one million, seven hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2029 2592 4058 5184 6087 8116 12174 16232 18261 24348 32464 36522 48696 54783 64928 73044 97392 109566 129856 146088 164349 194784 219132 292176 328698 389568 438264 584352 657396 876528 1168704 1314792 1753056 2629584 3506112 4116841 5259168 8233682 10518336 12350523 16467364 24701046 32934728 37051569 49402092 65869456 74103138 98804184 111154707 131738912 148206276 197608368 222309414 263477824 296412552 333464121 395216736 444618828 592825104 666928242 790433472 889237656 1185650208 1333856484 1778475312 2371300416 2667712968 3556950624 5335425936 7113901248 10670851872 21341703744