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145554342100 = 225243101461727
BaseRepresentation
bin1000011110001110110…
…1110000000011010100
3111220200221011200201021
42013203231300003110
54341043402421400
6150511114410524
713341654331336
oct2074355600324
9456627150637
10145554342100
11568026a4612
1224261a30a44
131095852155b
14708b18d456
153bbd67771a
hex21e3b700d4

145554342100 has 144 divisors (see below), whose sum is σ = 327556285056. Its totient is φ = 56105280000.

The previous prime is 145554342041. The next prime is 145554342139. The reversal of 145554342100 is 1243455541.

145554342100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 200211937 + ... + 200212663.

It is an arithmetic number, because the mean of its divisors is an integer number (2274696424).

Almost surely, 2145554342100 is an apocalyptic number.

145554342100 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 145554342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163778142528).

145554342100 is an abundant number, since it is smaller than the sum of its proper divisors (182001942956).

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

145554342100 is a wasteful number, since it uses less digits than its factorization.

145554342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 145554342100 its reverse (1243455541), we get a palindrome (146797797641).

The spelling of 145554342100 in words is "one hundred forty-five billion, five hundred fifty-four million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 101 172 202 215 404 430 461 505 727 860 922 1010 1075 1454 1844 2020 2150 2305 2525 2908 3635 4300 4343 4610 5050 7270 8686 9220 10100 11525 14540 17372 18175 19823 21715 23050 31261 36350 39646 43430 46100 46561 62522 72700 73427 79292 86860 93122 99115 108575 125044 146854 156305 186244 198230 217150 232805 293708 312610 335147 367135 396460 434300 465610 495575 625220 670294 734270 781525 931220 991150 1164025 1340588 1468540 1563050 1675735 1835675 1982300 2002123 2328050 3126100 3157361 3351470 3671350 4004246 4656100 6314722 6702940 7342700 8008492 8378675 10010615 12629444 14411321 15786805 16757350 20021230 28822642 31573610 33514700 33849847 40042460 50053075 57645284 63147220 67699694 72056605 78934025 100106150 135399388 144113210 157868050 169249235 200212300 288226420 315736100 338498470 360283025 676996940 720566050 846246175 1441132100 1455543421 1692492350 2911086842 3384984700 5822173684 7277717105 14555434210 29110868420 36388585525 72777171050 145554342100