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144302312400 = 24352539922273
BaseRepresentation
bin1000011001100100010…
…1101000101111010000
3111210110200020222211220
42012121011220233100
54331012342444100
6150142551205040
713265642263101
oct2063105505720
9453420228756
10144302312400
115621a991124
1223b72676780
13107b9010b8c
146dacb983a8
153b487b0aa0
hex2199168bd0

144302312400 has 120 divisors (see below), whose sum is σ = 462354782400. Its totient is φ = 38471761920.

The previous prime is 144302312381. The next prime is 144302312417. The reversal of 144302312400 is 4213203441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6467664 + ... + 6489936.

It is an arithmetic number, because the mean of its divisors is an integer number (3852956520).

Almost surely, 2144302312400 is an apocalyptic number.

144302312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302312400 is an abundant number, since it is smaller than the sum of its proper divisors (318052470000).

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

144302312400 is a wasteful number, since it uses less digits than its factorization.

144302312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27693 (or 27682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144302312400 its reverse (4213203441), we get a palindrome (148515515841).

The spelling of 144302312400 in words is "one hundred forty-four billion, three hundred two million, three hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 5399 10798 16197 21596 22273 26995 32394 43192 44546 53990 64788 66819 80985 86384 89092 107980 111365 129576 133638 134975 161970 178184 215960 222730 259152 267276 269950 323940 334095 356368 404925 431920 445460 534552 539900 556825 647880 668190 809850 890920 1069104 1079800 1113650 1295760 1336380 1619700 1670475 1781840 2159600 2227300 2672760 3239400 3340950 4454600 5345520 6478800 6681900 8909200 13363800 26727600 120251927 240503854 360755781 481007708 601259635 721511562 962015416 1202519270 1443023124 1803778905 1924030832 2405038540 2886046248 3006298175 3607557810 4810077080 5772092496 6012596350 7215115620 9018894525 9620154160 12025192700 14430231240 18037789050 24050385400 28860462480 36075578100 48100770800 72151156200 144302312400