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145202542425 = 325217194148731
BaseRepresentation
bin1000011100111010111…
…1101111011101011001
3111212210102012102021200
42013032233233131121
54334333322324200
6150412150224413
713330153150323
oct2071657573531
9455712172250
10145202542425
1156642060286
1224184055109
1310900688175
147056574613
153b9c835800
hex21cebef759

145202542425 has 144 divisors (see below), whose sum is σ = 296941619520. Its totient is φ = 67364352000.

The previous prime is 145202542421. The next prime is 145202542451. The reversal of 145202542425 is 524245202541.

145202542425 is a `hidden beast` number, since 1 + 4 + 5 + 202 + 5 + 424 + 25 = 666.

It is not a de Polignac number, because 145202542425 - 22 = 145202542421 is a prime.

It is a super-3 number, since 3×1452025424253 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145202542425.

It is not an unprimeable number, because it can be changed into a prime (145202542421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2955310 + ... + 3004040.

It is an arithmetic number, because the mean of its divisors is an integer number (2062094580).

Almost surely, 2145202542425 is an apocalyptic number.

145202542425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145202542425 is an abundant number, since it is smaller than the sum of its proper divisors (151739077095).

145202542425 is a wasteful number, since it uses less digits than its factorization.

145202542425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48824 (or 48816 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 145202542425 its reverse (524245202541), we get a palindrome (669447744966).

The spelling of 145202542425 in words is "one hundred forty-five billion, two hundred two million, five hundred forty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 41 45 51 57 75 85 95 123 153 171 205 225 255 285 323 369 425 475 615 697 765 779 855 969 1025 1275 1425 1615 1845 2091 2337 2907 3075 3485 3825 3895 4275 4845 6273 7011 8075 9225 10455 11685 13243 14535 17425 19475 24225 31365 35055 39729 48731 52275 58425 66215 72675 119187 146193 156825 175275 198645 243655 331075 438579 595935 730965 828427 925889 993225 1218275 1997971 2192895 2485281 2777667 2979675 3654825 4142135 4629445 5993913 7455843 8333001 9989855 10964475 12426405 13888335 15740113 17981739 20710675 23147225 29969565 33965507 37279215 37961449 41665005 47220339 49949275 62132025 69441675 78700565 89908695 101896521 113884347 141661017 149847825 169827535 186396075 189807245 208325025 236101695 305689563 341653041 393502825 449543475 509482605 569421735 645344633 708305085 849137675 949036225 1180508475 1528447815 1708265205 1936033899 2547413025 2847108675 3226723165 3541525425 5808101697 7642239075 8541326025 9680169495 16133615825 29040508485 48400847475 145202542425