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21405341652144 = 2432473527934159
BaseRepresentation
bin1001101110111110100011…
…10010010001010010110000
32210210022221001201100022220
410313133101302101102300
510301201114430332034
6113305251143001040
74336325214664542
oct467372162212260
983708831640286
1021405341652144
116902a5536567a
1224985b9739180
13bc369076bb08
1454004a061692
15271c06e37749
hex1377d1c914b0

21405341652144 has 80 divisors (see below), whose sum is σ = 55331591884800. Its totient is φ = 7130668866048.

The previous prime is 21405341652143. The next prime is 21405341652187. The reversal of 21405341652144 is 44125614350412.

It is a junction number, because it is equal to n+sod(n) for n = 21405341652096 and 21405341652105.

It is not an unprimeable number, because it can be changed into a prime (21405341652143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626621337 + ... + 626655495.

It is an arithmetic number, because the mean of its divisors is an integer number (691644898560).

Almost surely, 221405341652144 is an apocalyptic number.

21405341652144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21405341652144 is an abundant number, since it is smaller than the sum of its proper divisors (33926250232656).

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

21405341652144 is a wasteful number, since it uses less digits than its factorization.

21405341652144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41922 (or 41916 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 21405341652144 in words is "twenty-one trillion, four hundred five billion, three hundred forty-one million, six hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2473 4946 5279 7419 9892 10558 14838 15837 19784 21116 29676 31674 34159 39568 42232 59352 63348 68318 84464 102477 118704 126696 136636 204954 253392 273272 409908 546544 819816 1639632 13054967 26109934 39164901 52219868 78329802 84475207 104439736 156659604 168950414 180325361 208879472 253425621 313319208 337900828 360650722 506851242 540976083 626638416 675801656 721301444 1013702484 1081952166 1351603312 1442602888 2027404968 2163904332 2885205776 4054809936 4327808664 8655617328 445944617753 891889235506 1337833853259 1783778471012 2675667706518 3567556942024 5351335413036 7135113884048 10702670826072 21405341652144