Search a number
-
+
141385079016 = 233317319919013
BaseRepresentation
bin1000001110101100110…
…1010001100011101000
3111111221100222011222000
42003223031101203220
54304024040012031
6144541300531000
713133440225356
oct2035315214350
9444840864860
10141385079016
1154a63211545
12234996b0a60
131044281808c
146bb35787d6
153a2761a3e6
hex20eb3518e8

141385079016 has 128 divisors (see below), whose sum is σ = 397012320000. Its totient is φ = 46618032384.

The previous prime is 141385078997. The next prime is 141385079051. The reversal of 141385079016 is 610970583141.

141385079016 is a `hidden beast` number, since 1 + 4 + 138 + 507 + 9 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7426726 + ... + 7445738.

It is an arithmetic number, because the mean of its divisors is an integer number (3101658750).

Almost surely, 2141385079016 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 141385079016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198506160000).

141385079016 is an abundant number, since it is smaller than the sum of its proper divisors (255627240984).

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

141385079016 is a wasteful number, since it uses less digits than its factorization.

141385079016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19400 (or 19390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 141385079016 in words is "one hundred forty-one billion, three hundred eighty-five million, seventy-nine thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 199 216 346 398 519 597 692 796 1038 1194 1384 1557 1592 1791 2076 2388 3114 3582 4152 4671 4776 5373 6228 7164 9342 10746 12456 14328 18684 19013 21492 34427 37368 38026 42984 57039 68854 76052 103281 114078 137708 152104 171117 206562 228156 275416 309843 342234 413124 456312 513351 619686 684468 826248 929529 1026702 1239372 1368936 1859058 2053404 2478744 3289249 3718116 3783587 4106808 6578498 7436232 7567174 9867747 11350761 13156996 15134348 19735494 22701522 26313992 29603241 30268696 34052283 39470988 45403044 59206482 68104566 78941976 88809723 90806088 102156849 118412964 136209132 177619446 204313698 236825928 272418264 355238892 408627396 654560551 710477784 817254792 1309121102 1963681653 2618242204 3927363306 5236484408 5891044959 7854726612 11782089918 15709453224 17673134877 23564179836 35346269754 47128359672 70692539508 141385079016