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145202015334200 = 235211130750498023
BaseRepresentation
bin100001000000111101111010…
…100010110110111100111000
3201001010011210002211221022012
4201000331322202312330320
5123012442211411143300
61232452515053145052
742404333205044156
oct4100757242667470
9631104702757265
10145202015334200
11422a191327a360
121435115918b188
1363036504a9976
1427bdb5a6823d6
1511bc087073435
hex840f7a8b6f38

145202015334200 has 96 divisors (see below), whose sum is σ = 368566897887360. Its totient is φ = 52760333385600.

The previous prime is 145202015334157. The next prime is 145202015334227. The reversal of 145202015334200 is 2433510202541.

145202015334200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1452020153342002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22373612 + ... + 28124411.

It is an arithmetic number, because the mean of its divisors is an integer number (3839238519660).

Almost surely, 2145202015334200 is an apocalyptic number.

145202015334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145202015334200 is an abundant number, since it is smaller than the sum of its proper divisors (223364882553160).

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

145202015334200 is a wasteful number, since it uses less digits than its factorization.

145202015334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50499357 (or 50499348 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 145202015334200 its reverse (2433510202541), we get a palindrome (147635525536741).

The spelling of 145202015334200 in words is "one hundred forty-five trillion, two hundred two billion, fifteen million, three hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1307 2200 2614 5228 6535 10456 13070 14377 26140 28754 32675 52280 57508 65350 71885 115016 130700 143770 261400 287540 359425 575080 718850 1437700 2875400 50498023 100996046 201992092 252490115 403984184 504980230 555478253 1009960460 1110956506 1262450575 2019920920 2221913012 2524901150 2777391265 4443826024 5049802300 5554782530 10099604600 11109565060 13886956325 22219130120 27773912650 55547825300 66000916061 111095650600 132001832122 264003664244 330004580305 528007328488 660009160610 726010076671 1320018321220 1452020153342 1650022901525 2640036642440 2904040306684 3300045803050 3630050383355 5808080613368 6600091606100 7260100766710 13200183212200 14520201533420 18150251916775 29040403066840 36300503833550 72601007667100 145202015334200