Search a number
-
+
1365222744408 = 233316173341039
BaseRepresentation
bin10011110111011101100…
…111011110000101011000
311211111212201110011102110
4103313131213132011120
5134331434010310113
62523101421232320
7200430330600225
oct23673547360530
94744781404373
101365222744408
11486a95714446
121a070a4026a0
139b9808a1b23
144a11192294c
15257a4e2cbc3
hex13ddd9de158

1365222744408 has 128 divisors (see below), whose sum is σ = 3585884774400. Its totient is φ = 432573350400.

The previous prime is 1365222744373. The next prime is 1365222744461. The reversal of 1365222744408 is 8044472225631.

It is a super-2 number, since 2×13652227444082 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33245953 + ... + 33286991.

It is an arithmetic number, because the mean of its divisors is an integer number (28014724800).

Almost surely, 21365222744408 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 1365222744408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792942387200).

1365222744408 is an abundant number, since it is smaller than the sum of its proper divisors (2220662029992).

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

1365222744408 is a wasteful number, since it uses less digits than its factorization.

1365222744408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41873 (or 41869 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 1365222744408 in words is "one trillion, three hundred sixty-five billion, two hundred twenty-two million, seven hundred forty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 733 744 1464 1466 1891 2199 2932 3782 4398 5673 5864 7564 8796 11346 15128 17592 22692 22723 41039 44713 45384 45446 68169 82078 89426 90892 123117 134139 136338 164156 178852 181784 246234 268278 272676 328312 357704 492468 536556 545352 984936 1073112 1272209 1386103 2503379 2544418 2772206 3816627 4158309 5006758 5088836 5544412 7510137 7633254 8316618 10013516 10177672 11088824 15020274 15266508 16633236 20027032 30040548 30081587 30533016 33266472 60081096 60163174 77604749 90244761 120326348 155209498 180489522 232814247 240652696 310418996 360979044 465628494 620837992 721958088 931256988 932529197 1834976807 1862513976 1865058394 2797587591 3669953614 3730116788 5504930421 5595175182 7339907228 7460233576 11009860842 11190350364 14679814456 22019721684 22380700728 44039443368 56884281017 113768562034 170652843051 227537124068 341305686102 455074248136 682611372204 1365222744408