Search a number
-
+
147750015440 = 245791012111097
BaseRepresentation
bin1000100110011010010…
…1100101000111010000
3112010100221201110022002
42021212211211013100
54410043000443230
6151513031333132
713450245260336
oct2114645450720
9463327643262
10147750015440
115772a039485
12247752211a8
1310c18399751
147218a21b56
153c9b2dc545
hex22669651d0

147750015440 has 160 divisors (see below), whose sum is σ = 353298101760. Its totient is φ = 57447936000.

The previous prime is 147750015421. The next prime is 147750015463. The reversal of 147750015440 is 44510057741.

It is a junction number, because it is equal to n+sod(n) for n = 147750015394 and 147750015403.

It is a congruent number.

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, 134684972 + ... + 134686068.

It is an arithmetic number, because the mean of its divisors is an integer number (2208113136).

Almost surely, 2147750015440 is an apocalyptic number.

147750015440 is a gapful number since it is divisible by the number (10) 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 147750015440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176649050880).

147750015440 is an abundant number, since it is smaller than the sum of its proper divisors (205548086320).

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

147750015440 is a wasteful number, since it uses less digits than its factorization.

147750015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The spelling of 147750015440 in words is "one hundred forty-seven billion, seven hundred fifty million, fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 101 158 202 211 316 395 404 422 505 632 790 808 844 1010 1055 1097 1264 1580 1616 1688 2020 2110 2194 3160 3376 4040 4220 4388 5485 6320 7979 8080 8440 8776 10970 15958 16669 16880 17552 21311 21940 31916 33338 39895 42622 43880 63832 66676 79790 83345 85244 86663 87760 106555 110797 127664 133352 159580 166690 170488 173326 213110 221594 231467 266704 319160 333380 340976 346652 426220 433315 443188 462934 553985 638320 666760 693304 852440 866630 886376 925868 1107970 1157335 1333520 1386608 1683569 1704880 1733260 1772752 1851736 2215940 2314670 3367138 3466520 3703472 4431880 4629340 6734276 6933040 8417845 8752963 8863760 9258680 13468552 16835690 17505926 18285893 18517360 23378167 26937104 33671380 35011852 36571786 43764815 46756334 67342760 70023704 73143572 87529630 91429465 93512668 116890835 134685520 140047408 146287144 175059260 182858930 187025336 233781670 292574288 350118520 365717860 374050672 467563340 700237040 731435720 935126680 1462871440 1846875193 1870253360 3693750386 7387500772 9234375965 14775001544 18468751930 29550003088 36937503860 73875007720 147750015440