Search a number
-
+
145222242501510 = 233517109290264521
BaseRepresentation
bin100001000001010000110000…
…001011011000001110000110
3201001012002222202211111112000
4201001100300023120032012
5123013310123040022020
61232510102135410130
742405650356115346
oct4101206013301606
9631162882744460
10145222242501510
11422aa452a57559
1214355063223946
136305524c61415
1427c0b18bbcd26
1511bc86cc13090
hex8414302d8386

145222242501510 has 128 divisors (see below), whose sum is σ = 413801102563200. Its totient is φ = 36113550520320.

The previous prime is 145222242501509. The next prime is 145222242501533. The reversal of 145222242501510 is 15105242222541.

It is a happy number.

145222242501510 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 222 + 425 + 0 + 1 + 5 + 1 + 0 = 666.

145222242501510 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144631951 + ... + 145632570.

It is an arithmetic number, because the mean of its divisors is an integer number (3232821113775).

Almost surely, 2145222242501510 is an apocalyptic number.

145222242501510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145222242501510 is an abundant number, since it is smaller than the sum of its proper divisors (268578860061690).

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

145222242501510 is a wasteful number, since it uses less digits than its factorization.

145222242501510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290264663 (or 290264657 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 145222242501510 in words is "one hundred forty-five trillion, two hundred twenty-two billion, two hundred forty-two million, five hundred one thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 109 135 153 170 218 255 270 306 327 459 510 545 654 765 918 981 1090 1530 1635 1853 1962 2295 2943 3270 3706 4590 4905 5559 5886 9265 9810 11118 14715 16677 18530 27795 29430 33354 50031 55590 83385 100062 166770 250155 500310 290264521 580529042 870793563 1451322605 1741587126 2612380689 2902645210 4353967815 4934496857 5224761378 7837142067 8707935630 9868993714 13061903445 14803490571 15674284134 24672484285 26123806890 29606981142 31638832789 39185710335 44410471713 49344968570 63277665578 74017452855 78371420670 88820943426 94916498367 133231415139 148034905710 158194163945 189832996734 222052358565 266462830278 284749495101 316388327890 444104717130 474582491835 537860157413 569498990202 666157075695 854248485303 949164983670 1075720314826 1332314151390 1423747475505 1613580472239 1708496970606 2689300787065 2847494951010 3227160944478 4271242426515 4840741416717 5378601574130 8067902361195 8542484853030 9681482833434 14522224250151 16135804722390 24203707083585 29044448500302 48407414167170 72611121250755 145222242501510