Search a number
-
+
38433061423428 = 22371012277161921
BaseRepresentation
bin10001011110100011001001…
…11110010100100101000100
312001002011110010112212011020
420233101210332110211010
520014141402211022203
6213423523224311140
711044461042644160
oct1057214476244504
9161064403485136
1038433061423428
1111278408253421
1243887026124b0
13185a2b7075b89
1496c254a6bca0
15469aeadda153
hex22f464f94944

38433061423428 has 144 divisors (see below), whose sum is σ = 103887279495552. Its totient is φ = 10832836608000.

The previous prime is 38433061423403. The next prime is 38433061423453. The reversal of 38433061423428 is 82432416033483.

It is an interprime number because it is at equal distance from previous prime (38433061423403) and next prime (38433061423453).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237275908 + ... + 237437828.

Almost surely, 238433061423428 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 38433061423428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51943639747776).

38433061423428 is an abundant number, since it is smaller than the sum of its proper divisors (65454218072124).

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

38433061423428 is a wasteful number, since it uses less digits than its factorization.

38433061423428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162414 (or 162311 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 38433061423428 in words is "thirty-eight trillion, four hundred thirty-three billion, sixty-one million, four hundred twenty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 277 303 404 554 606 707 831 1108 1212 1414 1662 1939 2121 2828 3324 3878 4242 5817 7756 8484 10201 11634 20402 23268 27977 30603 40804 55954 61206 71407 83931 111908 122412 142814 161921 167862 195839 214221 285628 323842 335724 391678 428442 485763 587517 647684 783356 856884 971526 1133447 1175034 1943052 2266894 2350068 2825677 3400341 4533788 5651354 6800682 8477031 11302708 13601364 16354021 16954062 19779739 32708042 33908124 39559478 44852117 49062063 59339217 65416084 79118956 89704234 98124126 114478147 118678434 134556351 179408468 196248252 228956294 237356868 269112702 313964819 343434441 457912588 538225404 627929638 686868882 941894457 1255859276 1373737764 1651756121 1883788914 3303512242 3767577828 4530063817 4955268363 6607024484 9060127634 9910536726 11562292847 13590191451 18120255268 19821073452 23124585694 27180382902 31710446719 34686878541 46249171388 54360765804 63420893438 69373757082 95131340157 126841786876 138747514164 190262680314 380525360628 457536445517 915072891034 1372609336551 1830145782068 2745218673102 3202755118619 5490437346204 6405510237238 9608265355857 12811020474476 19216530711714 38433061423428