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1401334130322 = 234711365316747
BaseRepresentation
bin10100011001000110000…
…001011110011010010010
311221222002101101122020000
4110121012001132122102
5140424413014132242
62551433005430430
7203146236400560
oct24310601363222
94858071348200
101401334130322
114a0336647135
121a7707b6b416
13a21b7131ab9
144bb79892a30
15266ba342a4c
hex1464605e692

1401334130322 has 160 divisors (see below), whose sum is σ = 3626119930752. Its totient is φ = 396206608896.

The previous prime is 1401334130311. The next prime is 1401334130333. The reversal of 1401334130322 is 2230314331041.

It is a happy number.

1401334130322 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 334 + 1 + 3 + 0 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (1401334130311) and next prime (1401334130333).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 83668353 + ... + 83685099.

Almost surely, 21401334130322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401334130322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813059965376).

1401334130322 is an abundant number, since it is smaller than the sum of its proper divisors (2224785800430).

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

1401334130322 is a wasteful number, since it uses less digits than its factorization.

1401334130322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17534 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1401334130322 its reverse (2230314331041), we get a palindrome (3631648461363).

The spelling of 1401334130322 in words is "one trillion, four hundred one billion, three hundred thirty-four million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 113 126 162 189 226 339 378 567 653 678 791 1017 1134 1306 1582 1959 2034 2373 3051 3918 4571 4746 5877 6102 7119 9142 9153 11754 13713 14238 16747 17631 18306 21357 27426 33494 35262 41139 42714 50241 52893 64071 73789 82278 100482 105786 117229 123417 128142 147578 150723 221367 234458 246834 301446 351687 370251 442734 452169 516523 664101 703374 740502 904338 1033046 1055061 1328202 1356507 1549569 1892411 1992303 2110122 2713014 3099138 3165183 3784822 3984606 4648707 5677233 5976909 6330366 9297414 9495549 10935791 11354466 11953818 13246877 13946121 17031699 18991098 21871582 26493754 27892242 32807373 34063398 39740631 41838363 51095097 65614746 76550537 79481262 83676726 98422119 102190194 119221893 153101074 153285291 196844238 229651611 238443786 295266357 306570582 357665679 459303222 590532714 688954833 715331358 885799071 1072997037 1235744383 1377909666 1771598142 2066864499 2145994074 2471488766 3707233149 4133728998 6200593497 7414466298 8650210681 11121699447 12401186994 17300421362 22243398894 25950632043 33365098341 51901264086 66730196682 77851896129 100095295023 155703792258 200190590046 233555688387 467111376774 700667065161 1401334130322