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145453505106 = 237134117936299
BaseRepresentation
bin1000011101110110110…
…1000101101001010010
3111220102220102122100210
42013131231011221102
54340342044130411
6150453113224550
713336321252050
oct2073555055122
9456386378323
10145453505106
1156760791258
1224234102156
1310940676ab0
14707ba211d0
153bb48a9ca6
hex21ddb45a52

145453505106 has 128 divisors (see below), whose sum is σ = 368831232000. Its totient is φ = 37215613440.

The previous prime is 145453505033. The next prime is 145453505123. The reversal of 145453505106 is 601505354541.

145453505106 is digitally balanced in base 2, 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3988945 + ... + 4025243.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494000).

Almost surely, 2145453505106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145453505106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184415616000).

145453505106 is an abundant number, since it is smaller than the sum of its proper divisors (223377726894).

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

145453505106 is a wasteful number, since it uses less digits than its factorization.

145453505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36544.

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 145453505106 its reverse (601505354541), we get a palindrome (746958859647).

The spelling of 145453505106 in words is "one hundred forty-five billion, four hundred fifty-three million, five hundred five thousand, one hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 179 182 246 273 287 358 533 537 546 574 861 1066 1074 1253 1599 1722 2327 2506 3198 3731 3759 4654 6981 7339 7462 7518 11193 13962 14678 16289 22017 22386 32578 36299 44034 48867 51373 72598 95407 97734 102746 108897 154119 190814 217794 254093 286221 308238 471887 508186 572442 667849 762279 943774 1335698 1415661 1488259 1524558 2003547 2831322 2976518 3303209 4007094 4464777 6497521 6606418 8929554 9909627 10417813 12995042 19347367 19492563 19819254 20835626 31253439 38694734 38985126 45482647 58042101 62506878 84467773 90965294 116084202 135431569 136447941 168935546 253403319 266398361 270863138 272895882 406294707 506806638 532796722 591274411 799195083 812589414 1182548822 1598390166 1773823233 1864788527 3463178693 3547646466 3729577054 5594365581 6926357386 10389536079 11188731162 20779072158 24242250851 48484501702 72726752553 145453505106