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144300142023400 = 235211137478766231
BaseRepresentation
bin100000110011110101111110…
…101101001101001011101000
3200220220221220000002210202101
4200303311332231031023220
5122403203142324222100
61230522323050143144
742252225016303126
oct4063657655151350
9626827800083671
10144300142023400
1141a8438a303420
1214226401721ab4
1362695a28a303c
14278c24257c916
1511a38a035b86a
hex833d7eb4d2e8

144300142023400 has 96 divisors (see below), whose sum is σ = 368669149289280. Its totient is φ = 52089765824000.

The previous prime is 144300142023391. The next prime is 144300142023403. The reversal of 144300142023400 is 4320241003441.

It is a super-2 number, since 2×1443001420234002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144300142023403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239081716 + ... + 239684515.

It is an arithmetic number, because the mean of its divisors is an integer number (3840303638430).

Almost surely, 2144300142023400 is an apocalyptic number.

144300142023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300142023400 is an abundant number, since it is smaller than the sum of its proper divisors (224369007265880).

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

144300142023400 is a wasteful number, since it uses less digits than its factorization.

144300142023400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478766395 (or 478766386 counting only the distinct ones).

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

Adding to 144300142023400 its reverse (4320241003441), we get a palindrome (148620383026841).

The spelling of 144300142023400 in words is "one hundred forty-four trillion, three hundred billion, one hundred forty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 137 200 220 274 275 440 548 550 685 1096 1100 1370 1507 2200 2740 3014 3425 5480 6028 6850 7535 12056 13700 15070 27400 30140 37675 60280 75350 150700 301400 478766231 957532462 1915064924 2393831155 3830129848 4787662310 5266428541 9575324620 10532857082 11969155775 19150649240 21065714164 23938311550 26332142705 42131428328 47876623100 52664285410 65590973647 95753246200 105328570820 131181947294 131660713525 210657141640 262363894588 263321427050 327954868235 524727789176 526642854100 655909736470 721500710117 1053285708200 1311819472940 1443001420234 1639774341175 2623638945880 2886002840468 3279548682350 3607503550585 5772005680936 6559097364700 7215007101170 13118194729400 14430014202340 18037517752925 28860028404680 36075035505850 72150071011700 144300142023400