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45330014532140 = 22513241734480871
BaseRepresentation
bin10100100111010001101110…
…11010011111001000101100
312221111111200122121101012022
422103220313122133020230
521420141332210012030
6240224153213325312
712355662006044042
oct1223506732371054
9187444618541168
1045330014532140
11134973954a8098
125101316196838
131c3a7a9870100
14b29dad312392
1553920eb46de5
hex293a3769f22c

45330014532140 has 144 divisors (see below), whose sum is σ = 107039464652736. Its totient is φ = 16105322188800.

The previous prime is 45330014532119. The next prime is 45330014532149. The reversal of 45330014532140 is 4123541003354.

It is a self number, because there is not a number n which added to its sum of digits gives 45330014532140.

It is not an unprimeable number, because it can be changed into a prime (45330014532149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7875905 + ... + 12356775.

It is an arithmetic number, because the mean of its divisors is an integer number (743329615644).

Almost surely, 245330014532140 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 45330014532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53519732326368).

45330014532140 is an abundant number, since it is smaller than the sum of its proper divisors (61709450120596).

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

45330014532140 is a wasteful number, since it uses less digits than its factorization.

45330014532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481020 (or 4481005 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 45330014532140 its reverse (4123541003354), we get a palindrome (49453555535494).

The spelling of 45330014532140 in words is "forty-five trillion, three hundred thirty billion, fourteen million, five hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 73 82 130 146 164 169 205 260 292 338 365 410 533 676 730 820 845 949 1066 1460 1690 1898 2132 2665 2993 3380 3796 4745 5330 5986 6929 9490 10660 11972 12337 13858 14965 18980 24674 27716 29930 34645 38909 49348 59860 61685 69290 77818 123370 138580 155636 194545 246740 389090 505817 778180 1011634 2023268 2529085 4480871 5058170 8961742 10116340 17923484 22404355 44808710 58251323 89617420 116502646 183715711 233005292 291256615 327103583 367431422 582513230 654207166 734862844 757267199 918578555 1165026460 1308414332 1514534398 1635517915 1837157110 2388304243 3029068796 3271035830 3674314220 3786335995 4252346579 4776608486 6542071660 7572671990 8504693158 9553216972 11941521215 13411246903 15145343980 17009386316 21261732895 23883042430 26822493806 31047955159 42523465790 47766084860 53644987612 55280505527 62095910318 67056234515 85046931580 110561011054 124191820636 134112469030 155239775795 174346209739 221122022108 268224938060 276402527635 310479551590 348692419478 552805055270 620959103180 697384838956 871731048695 1105610110540 1743462097390 2266500726607 3486924194780 4533001453214 9066002906428 11332503633035 22665007266070 45330014532140