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2141414011344 = 243151557530429
BaseRepresentation
bin11111001010010110001…
…110001011000111010000
321120201100211020221121210
4133022112032023013100
5240041103441330334
64315430234020120
7310466143524306
oct37122616130720
97521324227553
102141414011344
11756194423643
122a702b277640
13126c1c06c46a
1475905bda276
153aa82e105e9
hex1f29638b1d0

2141414011344 has 80 divisors (see below), whose sum is σ = 5578629909120. Its totient is φ = 707803123200.

The previous prime is 2141414011339. The next prime is 2141414011349. The reversal of 2141414011344 is 4431104141412.

It is an interprime number because it is at equal distance from previous prime (2141414011339) and next prime (2141414011349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141414011349) 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, 3771922 + ... + 4302350.

It is an arithmetic number, because the mean of its divisors is an integer number (69732873864).

Almost surely, 22141414011344 is an apocalyptic number.

2141414011344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141414011344 is an abundant number, since it is smaller than the sum of its proper divisors (3437215897776).

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

2141414011344 is a wasteful number, since it uses less digits than its factorization.

2141414011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531148 (or 531142 counting only the distinct ones).

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

Adding to 2141414011344 its reverse (4431104141412), we get a palindrome (6572518152756).

The spelling of 2141414011344 in words is "two trillion, one hundred forty-one billion, four hundred fourteen million, eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 151 302 453 557 604 906 1114 1208 1671 1812 2228 2416 3342 3624 4456 6684 7248 8912 13368 26736 84107 168214 252321 336428 504642 530429 672856 1009284 1060858 1345712 1591287 2018568 2121716 3182574 4037136 4243432 6365148 8486864 12730296 25460592 80094779 160189558 240284337 295448953 320379116 480568674 590897906 640758232 886346859 961137348 1181795812 1281516464 1772693718 1922274696 2363591624 3545387436 3844549392 4727183248 7090774872 14181549744 44612791903 89225583806 133838375709 178451167612 267676751418 356902335224 535353502836 713804670448 1070707005672 2141414011344