Search a number
-
+
39141991680 = 283511926657
BaseRepresentation
bin100100011101000010…
…110110010100000000
310202000212120012100120
4210131002312110000
51120130322213210
625552004420240
72553655303551
oct443502662400
9122025505316
1039141991680
11156666a7760
1277046a7680
1338ca39c12c
141c74662328
151041502270
hex91d0b6500

39141991680 has 144 divisors (see below), whose sum is σ = 136374404544. Its totient is φ = 9488957440.

The previous prime is 39141991673. The next prime is 39141991699. The reversal of 39141991680 is 8619914193.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421089 + ... + 505568.

It is an arithmetic number, because the mean of its divisors is an integer number (947044476).

Almost surely, 239141991680 is an apocalyptic number.

39141991680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39141991680 is an abundant number, since it is smaller than the sum of its proper divisors (97232412864).

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

39141991680 is a wasteful number, since it uses less digits than its factorization.

39141991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926692 (or 926678 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 39141991680 in words is "thirty-nine billion, one hundred forty-one million, nine hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 926657 1853314 2779971 3706628 4633285 5559942 7413256 9266570 10193227 11119884 13899855 14826512 18533140 20386454 22239768 27799710 29653024 30579681 37066280 40772908 44479536 50966135 55599420 59306048 61159362 74132560 81545816 88959072 101932270 111198840 118612096 122318724 148265120 152898405 163091632 177918144 203864540 222397680 237224192 244637448 296530240 305796810 326183264 355836288 407729080 444795360 489274896 593060480 611593620 652366528 711672576 815458160 889590720 978549792 1186120960 1223187240 1304733056 1630916320 1779181440 1957099584 2446374480 2609466112 3261832640 3558362880 3914199168 4892748960 6523665280 7828398336 9785497920 13047330560 19570995840 39141991680