Search a number
-
+
45405432240 = 2435729931967
BaseRepresentation
bin101010010010010111…
…111110100110110000
311100012101022221112120
4222102113332212300
51220442242312430
632505311554240
73165121543320
oct522227764660
9140171287476
1045405432240
1118290201313
12897222b980
134387c0518c
1422aa449280
1512ab326610
hexa925fe9b0

45405432240 has 160 divisors (see below), whose sum is σ = 166412206080. Its totient is φ = 10020498432.

The previous prime is 45405432239. The next prime is 45405432263. The reversal of 45405432240 is 4223450454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417264 + ... + 514703.

It is an arithmetic number, because the mean of its divisors is an integer number (1040076288).

Almost surely, 245405432240 is an apocalyptic number.

45405432240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45405432240 is an abundant number, since it is smaller than the sum of its proper divisors (121006773840).

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

45405432240 is a wasteful number, since it uses less digits than its factorization.

45405432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932019 (or 932013 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 45405432240 its reverse (4223450454), we get a palindrome (49628882694).

The spelling of 45405432240 in words is "forty-five billion, four hundred five million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 9744 12180 16240 24360 48720 931967 1863934 2795901 3727868 4659835 5591802 6523769 7455736 9319670 11183604 13047538 13979505 14911472 18639340 19571307 22367208 26095076 27027043 27959010 32618845 37278680 39142614 44734416 52190152 54054086 55918020 65237690 74557360 78285228 81081129 97856535 104380304 108108172 111836040 130475380 135135215 156570456 162162258 189189301 195713070 216216344 223672080 260950760 270270430 313140912 324324516 378378602 391426140 405405645 432432688 521901520 540540860 567567903 648649032 756757204 782852280 810811290 945946505 1081081720 1135135806 1297298064 1513514408 1565704560 1621622580 1891893010 2162163440 2270271612 2837839515 3027028816 3243245160 3783786020 4540543224 5675679030 6486490320 7567572040 9081086448 11351358060 15135144080 22702716120 45405432240