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4238612004438 = 2337313531024697
BaseRepresentation
bin111101101011100000111…
…101100111111001010110
3120000012121011021102222000
4331223200331213321112
51023421134133120223
613003105205220130
7615141520403460
oct75534075477126
916005534242860
104238612004438
111394648a81239
1258557a701646
132499127626c6
14109215523130
15753c9143543
hex3dae0f67e56

4238612004438 has 128 divisors (see below), whose sum is σ = 11143467786240. Its totient is φ = 1168645294080.

The previous prime is 4238612004401. The next prime is 4238612004457. The reversal of 4238612004438 is 8344002168324.

It is a happy number.

4238612004438 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 6 + 1 + 200 + 4 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4238612004393 and 4238612004402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3624106 + ... + 4648802.

It is an arithmetic number, because the mean of its divisors is an integer number (87058342080).

Almost surely, 24238612004438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4238612004438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571733893120).

4238612004438 is an abundant number, since it is smaller than the sum of its proper divisors (6904855781802).

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

4238612004438 is a wasteful number, since it uses less digits than its factorization.

4238612004438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025099 (or 1025093 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4238612004438 in words is "four trillion, two hundred thirty-eight billion, six hundred twelve million, four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 353 378 434 558 651 706 837 1059 1302 1674 1953 2118 2471 3177 3906 4942 5859 6354 7413 9531 10943 11718 14826 19062 21886 22239 32829 44478 65658 66717 76601 98487 133434 153202 196974 229803 295461 459606 590922 689409 1024697 1378818 2049394 2068227 3074091 4136454 6148182 7172879 9222273 14345758 18444546 21518637 27666819 31765607 43037274 55333638 63531214 64555911 95296821 129111822 190593642 193667733 222359249 285890463 361718041 387335466 444718498 571780926 667077747 723436082 857671389 1085154123 1334155494 1715342778 2001233241 2170308246 2532026287 3255462369 4002466482 5064052574 6003699723 6510924738 7596078861 9766387107 11213259271 12007399446 15192157722 19532774214 22426518542 22788236583 33639777813 45576473166 67279555626 68364709749 78492814897 100919333439 136729419498 156985629794 201838666878 235478444691 302758000317 470956889382 605516000634 706435334073 1412870668146 2119306002219 4238612004438