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4243134332424 = 23313743123714797
BaseRepresentation
bin111101101111101110100…
…000111011111000001000
3120000122021022211111201010
4331233232200323320020
51024004414342114144
613005134034323520
7615361552510251
oct75575640737010
916018238744633
104243134332424
111396559792189
125864211295a0
1324a183656120
14109523da1b28
15755911925b9
hex3dbee83be08

4243134332424 has 128 divisors (see below), whose sum is σ = 11449219703040. Its totient is φ = 1302680558592.

The previous prime is 4243134332413. The next prime is 4243134332429. The reversal of 4243134332424 is 4242334313424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (4243134332429) 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, 286748994 + ... + 286763790.

It is an arithmetic number, because the mean of its divisors is an integer number (89447028930).

Almost surely, 24243134332424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243134332424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5724609851520).

4243134332424 is an abundant number, since it is smaller than the sum of its proper divisors (7206085370616).

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

4243134332424 is a wasteful number, since it uses less digits than its factorization.

4243134332424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16799 (or 16795 counting only the distinct ones).

The product of its digits is 663552, while the sum is 39.

Adding to 4243134332424 its reverse (4242334313424), we get a palindrome (8485468645848).

The spelling of 4243134332424 in words is "four trillion, two hundred forty-three billion, one hundred thirty-four million, three hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 743 1237 1486 2229 2474 2972 3711 4458 4948 5944 7422 8916 9659 9896 14797 14844 16081 17832 19318 28977 29594 29688 32162 38636 44391 48243 57954 59188 64324 77272 88782 96486 115908 118376 128648 177564 192361 192972 231816 355128 384722 385944 577083 769444 919091 1154166 1538888 1838182 2308332 2757273 3676364 4616664 5514546 7352728 10994171 11029092 11948183 18303889 21988342 22058184 23896366 32982513 35844549 36607778 43976684 47792732 54911667 65965026 71689098 73215556 87953368 95585464 109823334 131930052 142924223 143378196 146431112 219646668 237950557 263860104 285848446 286756392 428772669 439293336 475901114 571696892 713851671 857545338 951802228 1143393784 1427703342 1715090676 1903604456 2855406684 3430181352 5710813368 13599789527 27199579054 40799368581 54399158108 81598737162 108798316216 163197474324 176797263851 326394948648 353594527702 530391791553 707189055404 1060783583106 1414378110808 2121567166212 4243134332424