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1414426621344 = 253113174225297
BaseRepresentation
bin10100100101010010011…
…001010111010110100000
312000012212211020002111220
4110211102121113112200
5141133221203340334
63001440103135040
7204121544624412
oct24452231272640
95005784202456
101414426621344
114a5944a54450
121aa160744480
13a34c27184c9
144c65c6169b2
1526bd4964449
hex149526575a0

1414426621344 has 96 divisors (see below), whose sum is σ = 4063181766336. Its totient is φ = 427261931520.

The previous prime is 1414426621297. The next prime is 1414426621369. The reversal of 1414426621344 is 4431266244141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1414426621296 and 1414426621305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777897 + ... + 2447400.

It is an arithmetic number, because the mean of its divisors is an integer number (42324810066).

Almost surely, 21414426621344 is an apocalyptic number.

It is an amenable number.

1414426621344 is an abundant number, since it is smaller than the sum of its proper divisors (2648755144992).

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

1414426621344 is a wasteful number, since it uses less digits than its factorization.

1414426621344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225638 (or 4225630 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The spelling of 1414426621344 in words is "one trillion, four hundred fourteen billion, four hundred twenty-six million, six hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 317 352 528 634 951 1056 1268 1902 2536 3487 3804 5072 6974 7608 10144 10461 13948 15216 20922 27896 30432 41844 55792 83688 111584 167376 334752 4225297 8450594 12675891 16901188 25351782 33802376 46478267 50703564 67604752 92956534 101407128 135209504 139434801 185913068 202814256 278869602 371826136 405628512 557739204 743652272 1115478408 1339419149 1487304544 2230956816 2678838298 4018257447 4461913632 5357676596 8036514894 10715353192 14733610639 16073029788 21430706384 29467221278 32146059576 42861412768 44200831917 58934442556 64292119152 88401663834 117868885112 128584238304 176803327668 235737770224 353606655336 471475540448 707213310672 1414426621344