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324043214144040 = 233251196975204281
BaseRepresentation
bin100100110101101110011000…
…0101010111100001000101000
31120111100020011202010202200100
41021223130300222330020220
5314433111000310102130
63105103221505305400
7125153230632625206
oct11153346052741050
91514306152122610
10324043214144040
1194282a56660156
12304158b4935260
1310ba71b44181c1
145a03abd3cc076
15276e19342ac60
hex126b730abc228

324043214144040 has 96 divisors (see below), whose sum is σ = 1053228448981800. Its totient is φ = 86404303011840.

The previous prime is 324043214144017. The next prime is 324043214144099. The reversal of 324043214144040 is 40441412340423.

324043214144040 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 4 + 32 + 141 + 440 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90488835803844 + 233554378340196 = 9512562^2 + 15282486^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 324043214143986 and 324043214144004.

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, 33293301 + ... + 41910980.

Almost surely, 2324043214144040 is an apocalyptic number.

324043214144040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

324043214144040 is an abundant number, since it is smaller than the sum of its proper divisors (729185234837760).

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

324043214144040 is a wasteful number, since it uses less digits than its factorization.

324043214144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75216267 (or 75216260 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 324043214144040 its reverse (40441412340423), we get a palindrome (364484626484463).

The spelling of 324043214144040 in words is "three hundred twenty-four trillion, forty-three billion, two hundred fourteen million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 11969 23938 35907 47876 59845 71814 95752 107721 119690 143628 179535 215442 239380 287256 359070 430884 478760 538605 718140 861768 1077210 1436280 2154420 4308840 75204281 150408562 225612843 300817124 376021405 451225686 601634248 676838529 752042810 902451372 1128064215 1353677058 1504085620 1804902744 2256128430 2707354116 3008171240 3384192645 4512256860 5414708232 6768385290 9024513720 13536770580 27073541160 900120039289 1800240078578 2700360117867 3600480157156 4500600196445 5400720235734 7200960314312 8101080353601 9001200392890 10801440471468 13501800589335 16202160707202 18002400785780 21602880942936 27003601178670 32404321414404 36004801571560 40505401768005 54007202357340 64808642828808 81010803536010 108014404714680 162021607072020 324043214144040