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4223134144000 = 2953232868977
BaseRepresentation
bin111101011101000110011…
…010010001011000000000
3112221201122110221122222201
4331131012122101120000
51023142434320102000
612552025301042544
7614053125640102
oct75350632213000
915851573848881
104223134144000
111389026144642
1258257b0b6454
13248316c137c5
14108587a6b572
1574cc03da96a
hex3d746691600

4223134144000 has 160 divisors (see below), whose sum is σ = 10988507065536. Its totient is φ = 1615807283200.

The previous prime is 4223134143989. The next prime is 4223134144001. The reversal of 4223134144000 is 4414313224.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×42231341440002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4223134144000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223134144001) 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, 37512 + ... + 2906488.

Almost surely, 24223134144000 is an apocalyptic number.

4223134144000 is a gapful number since it is divisible by the number (40) 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 4223134144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494253532768).

4223134144000 is an abundant number, since it is smaller than the sum of its proper divisors (6765372921536).

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

4223134144000 is an equidigital number, since it uses as much as digits as its factorization.

4223134144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869033 (or 2869007 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4223134144000 its reverse (4414313224), we get a palindrome (4227548457224).

The spelling of 4223134144000 in words is "four trillion, two hundred twenty-three billion, one hundred thirty-four million, one hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 128 160 184 200 230 250 256 320 368 400 460 500 512 575 640 736 800 920 1000 1150 1280 1472 1600 1840 2000 2300 2560 2875 2944 3200 3680 4000 4600 5750 5888 6400 7360 8000 9200 11500 11776 12800 14720 16000 18400 23000 29440 32000 36800 46000 58880 64000 73600 92000 147200 184000 294400 368000 736000 1472000 2868977 5737954 11475908 14344885 22951816 28689770 45903632 57379540 65986471 71724425 91807264 114759080 131972942 143448850 183614528 229518160 263945884 286897700 329932355 358622125 367229056 459036320 527891768 573795400 659864710 717244250 734458112 918072640 1055783536 1147590800 1319729420 1434488500 1468916224 1649661775 1836145280 2111567072 2295181600 2639458840 2868977000 3299323550 3672290560 4223134144 4590363200 5278917680 5737954000 6598647100 7344581120 8248308875 8446268288 9180726400 10557835360 11475908000 13197294200 16496617750 16892536576 18361452800 21115670720 22951816000 26394588400 32993235500 33785073152 36722905600 42231341440 45903632000 52789176800 65986471000 84462682880 91807264000 105578353600 131972942000 168925365760 183614528000 211156707200 263945884000 422313414400 527891768000 844626828800 1055783536000 2111567072000 4223134144000