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38428039144 = 23111997313757
BaseRepresentation
bin100011110010011111…
…010101011111101000
310200012010010122121001
4203302133111133220
51112200034223034
625353102124344
72530165641355
oct436237253750
9120163118531
1038428039144
111532a698640
1275455806b4
1338154b6101
141c078d562c
15eed9c5a14
hex8f27d57e8

38428039144 has 128 divisors (see below), whose sum is σ = 83970633600. Its totient is φ = 16303472640.

The previous prime is 38428039129. The next prime is 38428039189. The reversal of 38428039144 is 44193082483.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38428039094 and 38428039103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50763214 + ... + 50763970.

It is an arithmetic number, because the mean of its divisors is an integer number (656020575).

Almost surely, 238428039144 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 38428039144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41985316800).

38428039144 is an abundant number, since it is smaller than the sum of its proper divisors (45542594456).

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

38428039144 is a wasteful number, since it uses less digits than its factorization.

38428039144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 38428039144 in words is "thirty-eight billion, four hundred twenty-eight million, thirty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 97 152 194 209 313 388 418 626 757 776 836 1067 1252 1514 1672 1843 2134 2504 3028 3443 3686 4268 5947 6056 6886 7372 8327 8536 11894 13772 14383 14744 16654 20273 23788 27544 28766 30361 33308 40546 47576 57532 60722 65417 66616 73429 81092 115064 121444 130834 146858 158213 162184 236941 242888 261668 293716 316426 333971 473882 523336 576859 587432 632852 667942 807719 947764 1153718 1265704 1335884 1395151 1615438 1895528 2307436 2606351 2671768 2790302 3230876 4501879 4614872 5212702 5580604 6345449 6461752 9003758 10425404 11161208 12690898 15346661 18007516 20850808 22983277 25381796 30693322 36015032 45966554 49520669 50763592 61386644 91933108 99041338 122773288 183866216 198082676 252816047 396165352 436682263 505632094 873364526 1011264188 1746729052 2022528376 3493458104 4803504893 9607009786 19214019572 38428039144