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4142444403141 = 3311193154743291
BaseRepresentation
bin111100010001111100111…
…011010101100111000101
3112200000101001222010102000
4330101330323111213011
51020332211231400031
612451002423535513
7605165430313152
oct74217473254705
915600331863360
104142444403141
111357889965aa0
1256aa002ba599
13240827c22105
141046d1469229
1572b4b5c43e6
hex3c47ced59c5

4142444403141 has 128 divisors (see below), whose sum is σ = 7288017715200. Its totient is φ = 2297452248000.

The previous prime is 4142444403109. The next prime is 4142444403161. The reversal of 4142444403141 is 1413044442414.

4142444403141 is a `hidden beast` number, since 4 + 1 + 4 + 244 + 4 + 403 + 1 + 4 + 1 = 666.

It is not a de Polignac number, because 4142444403141 - 25 = 4142444403109 is a prime.

It is a super-2 number, since 2×41424444031412 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4142444403096 and 4142444403105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142444403161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95666706 + ... + 95709996.

It is an arithmetic number, because the mean of its divisors is an integer number (56937638400).

Almost surely, 24142444403141 is an apocalyptic number.

It is an amenable number.

4142444403141 is a deficient number, since it is larger than the sum of its proper divisors (3145573312059).

4142444403141 is a wasteful number, since it uses less digits than its factorization.

4142444403141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43908 (or 43902 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 4142444403141 its reverse (1413044442414), we get a palindrome (5555488845555).

The spelling of 4142444403141 in words is "four trillion, one hundred forty-two billion, four hundred forty-four million, four hundred three thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 27 31 33 57 93 99 171 209 279 297 341 513 547 589 627 837 1023 1641 1767 1881 3069 4923 5301 5643 6017 6479 9207 10393 14769 15903 16957 18051 19437 31179 43291 50871 54153 58311 93537 114323 129873 152613 162459 174933 186527 280611 322183 342969 389619 457839 476201 559581 822529 966549 1028907 1168857 1342021 1428603 1678743 2467587 2899647 3086721 3544013 4026063 4285809 5036229 7402761 8698941 9047819 10632039 12078189 12857427 14762231 22208283 23680177 25498399 27143457 31896117 36234567 44286693 71040531 76495197 81430371 95688351 132860079 213121593 229485591 244291113 260481947 280482389 398580237 449923363 639364779 688456773 734085487 781445841 841447167 1349770089 2202256461 2344337523 2524341501 4049310267 4949156993 6606769383 7033012569 7573024503 8074940357 12147930801 13947624253 14847470979 19820308149 24224821071 41842872759 44542412937 72674463213 125528618277 133627238811 153423866783 218023389639 376585854831 460271600349 1380814801047 4142444403141