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1431221444444 = 2211179767729137
BaseRepresentation
bin10100110100111011011…
…100100001111101011100
312001211020021122111122002
4110310323130201331130
5141422120142210234
63013254414341432
7205255000360301
oct24647334417534
95054207574562
101431221444444
11501a83214640
121b14691ba878
13a4c6b06115c
144d3b2d670a8
152736910d27e
hex14d3b721f5c

1431221444444 has 96 divisors (see below), whose sum is σ = 2927300451264. Its totient is φ = 605059153920.

The previous prime is 1431221444413. The next prime is 1431221444449. The reversal of 1431221444444 is 4444441221341.

It is a junction number, because it is equal to n+sod(n) for n = 1431221444398 and 1431221444407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431221444449) 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 31 ways as a sum of consecutive naturals, for example, 49105844 + ... + 49134980.

It is an arithmetic number, because the mean of its divisors is an integer number (30492713034).

Almost surely, 21431221444444 is an apocalyptic number.

It is an amenable number.

1431221444444 is an abundant number, since it is smaller than the sum of its proper divisors (1496079006820).

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

1431221444444 is a wasteful number, since it uses less digits than its factorization.

1431221444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29943 (or 29941 counting only the distinct ones).

The product of its digits is 196608, while the sum is 38.

Adding to 1431221444444 its reverse (4444441221341), we get a palindrome (5875662665785).

The spelling of 1431221444444 in words is "one trillion, four hundred thirty-one billion, two hundred twenty-one million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 97 187 194 374 388 677 748 1067 1354 1649 2134 2708 3298 4268 6596 7447 11509 14894 18139 23018 29137 29788 36278 46036 58274 65669 72556 116548 126599 131338 253198 262676 320507 495329 506396 641014 722359 990658 1116373 1282028 1444718 1981316 2232746 2826289 2889436 4465492 5448619 5652578 10897238 11305156 12280103 19725749 21794476 24560206 31089179 39451498 48046913 49120412 62178358 78902996 96093826 124356716 192187652 216983239 335337733 433966478 528516043 670675466 867932956 1057032086 1341350932 1913397653 2114064172 3688715063 3826795306 7377430126 7653590612 14754860252 21047374183 32527760101 42094748366 65055520202 84189496732 130111040404 357805361111 715610722222 1431221444444