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4123214232324 = 223111311157920593
BaseRepresentation
bin111100000000000010101…
…110000011101100000100
3112121011201220000020021020
4330000002232003230010
51020023320320413244
612434102314351140
7603615043463205
oct74000256035404
915534656006236
104123214232324
11134a710a40040
1256713412b4b0
1323ba81b95705
141037c94d75ac
15723c3220d19
hex3c002b83b04

4123214232324 has 96 divisors (see below), whose sum is σ = 10576999319040. Its totient is φ = 1239753715200.

The previous prime is 4123214232323. The next prime is 4123214232341. The reversal of 4123214232324 is 4232324123214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4123214232323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200213772 + ... + 200234364.

It is an arithmetic number, because the mean of its divisors is an integer number (110177076240).

Almost surely, 24123214232324 is an apocalyptic number.

4123214232324 is a gapful number since it is divisible by the number (44) 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 4123214232324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288499659520).

4123214232324 is an abundant number, since it is smaller than the sum of its proper divisors (6453785086716).

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

4123214232324 is a wasteful number, since it uses less digits than its factorization.

4123214232324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32321 (or 32319 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 4123214232324 its reverse (4232324123214), we get a palindrome (8355538355538).

The spelling of 4123214232324 in words is "four trillion, one hundred twenty-three billion, two hundred fourteen million, two hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 11579 17292 20593 23158 34737 41186 46316 61779 69474 82372 123558 127369 138948 226523 247116 254738 382107 453046 509476 679569 764214 906092 1359138 1516849 1528428 2697683 2718276 3033698 4550547 5395366 6067396 8093049 9101094 10790732 16186098 16685339 18202188 29674513 32372196 33370678 50056017 59349026 66741356 89023539 100112034 118698052 178047078 200224068 238446347 356094156 476892694 715339041 953785388 1430678082 2622909817 2861356164 5245819634 7868729451 10491639268 15737458902 31236471457 31474917804 62472942914 93709414371 124945885828 187418828742 343601186027 374837657484 687202372054 1030803558081 1374404744108 2061607116162 4123214232324