Search a number
-
+
149138065080 = 23345139331153
BaseRepresentation
bin1000101011100101010…
…0100100011010111000
3112020221200120200110000
42022321110210122320
54420413321040310
6152302454153000
713526531431314
oct2127124443270
9466850520400
10149138065080
1158281605744
1224aa2052760
13110a9b229b4
14730b102b44
153d2d0c14c0
hex22b95246b8

149138065080 has 160 divisors (see below), whose sum is σ = 504877388400. Its totient is φ = 39483915264.

The previous prime is 149138065057. The next prime is 149138065091. The reversal of 149138065080 is 80560831941.

149138065080 is a `hidden beast` number, since 1 + 4 + 9 + 138 + 0 + 6 + 508 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 284784 + ... + 615936.

Almost surely, 2149138065080 is an apocalyptic number.

149138065080 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 149138065080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252438694200).

149138065080 is an abundant number, since it is smaller than the sum of its proper divisors (355739323320).

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

149138065080 is a wasteful number, since it uses less digits than its factorization.

149138065080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331315 (or 331302 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 149138065080 in words is "one hundred forty-nine billion, one hundred thirty-eight million, sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 139 162 180 216 270 278 324 360 405 417 540 556 648 695 810 834 1080 1112 1251 1390 1620 1668 2085 2502 2780 3240 3336 3753 4170 5004 5560 6255 7506 8340 10008 11259 12510 15012 16680 18765 22518 25020 30024 37530 45036 50040 56295 75060 90072 112590 150120 225180 331153 450360 662306 993459 1324612 1655765 1986918 2649224 2980377 3311530 3973836 4967295 5960754 6623060 7947672 8941131 9934590 11921508 13246120 14901885 17882262 19869180 23843016 26823393 29803770 35764524 39738360 44705655 46030267 53646786 59607540 71529048 89411310 92060534 107293572 119215080 134116965 138090801 178822620 184121068 214587144 230151335 268233930 276181602 357645240 368242136 414272403 460302670 536467860 552363204 690454005 828544806 920605340 1072935720 1104726408 1242817209 1380908010 1657089612 1841210680 2071362015 2485634418 2761816020 3314179224 3728451627 4142724030 4971268836 5523632040 6214086045 7456903254 8285448060 9942537672 12428172090 14913806508 16570896120 18642258135 24856344180 29827613016 37284516270 49712688360 74569032540 149138065080