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4013223101244 = 22327178910525769
BaseRepresentation
bin111010011001100110101…
…111001100001100111100
3112012122211102021211202200
4322121212233030030330
51011223040103214434
612311352122551500
7562642260341520
oct72314657141474
915178742254680
104013223101244
111307aa88a8315
12549958368590
132315a34825b6
14dc353581d80
156e5d6ccb199
hex3a666bcc33c

4013223101244 has 144 divisors (see below), whose sum is σ = 12413672107200. Its totient is φ = 1067060256768.

The previous prime is 4013223101213. The next prime is 4013223101249. The reversal of 4013223101244 is 4421013223104.

4013223101244 is a `hidden beast` number, since 4 + 0 + 1 + 322 + 310 + 1 + 24 + 4 = 666.

It is a super-2 number, since 2×40132231012442 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013223101249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4881609 + ... + 5644160.

It is an arithmetic number, because the mean of its divisors is an integer number (86206056300).

Almost surely, 24013223101244 is an apocalyptic number.

It is an amenable number.

4013223101244 is an abundant number, since it is smaller than the sum of its proper divisors (8400449005956).

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

4013223101244 is a wasteful number, since it uses less digits than its factorization.

4013223101244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525892 (or 10525887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4013223101244 its reverse (4421013223104), we get a palindrome (8434236324348).

The spelling of 4013223101244 in words is "four trillion, thirteen billion, two hundred twenty-three million, one hundred one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 89 102 119 126 153 178 204 238 252 267 306 356 357 476 534 612 623 714 801 1068 1071 1246 1428 1513 1602 1869 2142 2492 3026 3204 3738 4284 4539 5607 6052 7476 9078 10591 11214 13617 18156 21182 22428 27234 31773 42364 54468 63546 95319 127092 190638 381276 10525769 21051538 31577307 42103076 63154614 73680383 94731921 126309228 147360766 178938073 189463842 221041149 294721532 357876146 378927684 442082298 536814219 663123447 715752292 884164596 936793441 1073628438 1252566511 1326246894 1610442657 1873586882 2147256876 2505133022 2652493788 2810380323 3220885314 3747173764 3757699533 5010266044 5620760646 6441770628 6557554087 7515399066 8431140969 11241521292 11273098599 13115108174 15030798132 15925488497 16862281938 19672662261 22546197198 26230216348 31850976994 33724563876 39345324522 45092394396 47776465491 59017986783 63701953988 78690649044 95552930982 111478419479 118035973566 143329396473 191105861964 222956838958 236071947132 286658792946 334435258437 445913677916 573317585892 668870516874 1003305775311 1337741033748 2006611550622 4013223101244