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1414311421404 = 22372151100915787
BaseRepresentation
bin10100100101001011100…
…001111010010111011100
312000012120210110022220110
4110211023201322113130
5141133002210441104
63001420430050020
7204115645504500
oct24451341722734
95005523408813
101414311421404
114a5895a20a92
121aa12a049910
13a34a48b236b
144c64b1ca300
1526bc97aae89
hex1494b87a5dc

1414311421404 has 144 divisors (see below), whose sum is σ = 3868342920960. Its totient is φ = 400989657600.

The previous prime is 1414311421403. The next prime is 1414311421451. The reversal of 1414311421404 is 4041241134141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414311421403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89579199 + ... + 89594985.

Almost surely, 21414311421404 is an apocalyptic number.

1414311421404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414311421404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934171460480).

1414311421404 is an abundant number, since it is smaller than the sum of its proper divisors (2454031499556).

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

1414311421404 is a wasteful number, since it uses less digits than its factorization.

1414311421404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16968 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 1414311421404 its reverse (4041241134141), we get a palindrome (5455552555545).

The spelling of 1414311421404 in words is "one trillion, four hundred fourteen billion, three hundred eleven million, four hundred twenty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 151 196 294 302 453 588 604 906 1009 1057 1812 2018 2114 3027 3171 4036 4228 6054 6342 7063 7399 12108 12684 14126 14798 15787 21189 22197 28252 29596 31574 42378 44394 47361 49441 63148 84756 88788 94722 98882 110509 148323 152359 189444 197764 221018 296646 304718 331527 442036 457077 593292 609436 663054 773563 914154 1066513 1326108 1547126 1828308 2133026 2320689 2383837 3094252 3199539 4266052 4641378 4767674 6399078 7151511 7465591 9282756 9535348 12798156 14303022 14931182 15929083 16686859 22396773 28606044 29862364 31858166 33373718 44793546 47787249 50060577 63716332 66747436 89587092 95574498 100121154 111503581 116808013 191148996 200242308 223007162 233616026 334510743 350424039 446014324 467232052 669021486 700848078 780525067 1338042972 1401696156 1561050134 2341575201 2405291533 3122100268 4683150402 4810583066 7215874599 9366300804 9621166132 14431749198 16837040731 28863498396 33674081462 50511122193 67348162924 101022244386 117859285117 202044488772 235718570234 353577855351 471437140468 707155710702 1414311421404