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145002043121200 = 24523533792709569
BaseRepresentation
bin100000111110000011101011…
…010001011001111000110000
3201000102001121200211222101221
4200332003223101121320300
5123001203141014334300
61232221004034434424
742354023542220626
oct4076035321317060
9630361550758357
10145002043121200
1142225026167a21
121431a44aa32a14
1362ba831b69405
1427b41ca155516
1511b6c8128c31a
hex83e0eb459e30

145002043121200 has 120 divisors (see below), whose sum is σ = 350276193500400. Its totient is φ = 57683884769280.

The previous prime is 145002043121183. The next prime is 145002043121227. The reversal of 145002043121200 is 2121340200541.

145002043121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 52160016 + ... + 54869584.

It is an arithmetic number, because the mean of its divisors is an integer number (2918968279170).

Almost surely, 2145002043121200 is an apocalyptic number.

145002043121200 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 145002043121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175138096750200).

145002043121200 is an abundant number, since it is smaller than the sum of its proper divisors (205274150379200).

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

145002043121200 is a wasteful number, since it uses less digits than its factorization.

145002043121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710319 (or 2710308 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 145002043121200 its reverse (2121340200541), we get a palindrome (147123383321741).

The spelling of 145002043121200 in words is "one hundred forty-five trillion, two billion, forty-three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 353 379 400 706 758 1412 1516 1765 1895 2824 3032 3530 3790 5648 6064 7060 7580 8825 9475 14120 15160 17650 18950 28240 30320 35300 37900 70600 75800 133787 141200 151600 267574 535148 668935 1070296 1337870 2140592 2675740 2709569 3344675 5351480 5419138 6689350 10702960 10838276 13378700 13547845 21676552 26757400 27095690 43353104 53514800 54191380 67739225 108382760 135478450 216765520 270956900 541913800 956477857 1026926651 1083827600 1912955714 2053853302 3825911428 4107706604 4782389285 5134633255 7651822856 8215413208 9564778570 10269266510 15303645712 16430826416 19129557140 20538533020 23911946425 25673166275 38259114280 41077066040 47823892850 51346332550 76518228560 82154132080 95647785700 102692665100 191295571400 205385330200 362505107803 382591142800 410770660400 725010215606 1450020431212 1812525539015 2900040862424 3625051078030 5800081724848 7250102156060 9062627695075 14500204312120 18125255390150 29000408624240 36250510780300 72501021560600 145002043121200