Search a number
-
+
255323342148 = 223722354134897
BaseRepresentation
bin1110110111001001110…
…1010000010101000100
3220102000220220122201120
43231302131100111010
513140400233422043
6313143253153540
724306102412500
oct3556235202504
9812026818646
10255323342148
1199311408a76
124159732b8b0
131b0ccbcbca4
14c501801300
156995340983
hex3b72750544

255323342148 has 144 divisors (see below), whose sum is σ = 724509281664. Its totient is φ = 69646832640.

The previous prime is 255323342143. The next prime is 255323342167. The reversal of 255323342148 is 841243323552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (255323342143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7299036 + ... + 7333932.

It is an arithmetic number, because the mean of its divisors is an integer number (5031314456).

Almost surely, 2255323342148 is an apocalyptic number.

255323342148 is a gapful number since it is divisible by the number (28) 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 255323342148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362254640832).

255323342148 is an abundant number, since it is smaller than the sum of its proper divisors (469185939516).

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

255323342148 is a wasteful number, since it uses less digits than its factorization.

255323342148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35482 (or 35473 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 255323342148 in words is "two hundred fifty-five billion, three hundred twenty-three million, three hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 541 588 644 966 1082 1127 1623 1932 2164 2254 3246 3381 3787 4508 6492 6762 7574 11361 12443 13524 15148 22722 24886 26509 34897 37329 45444 49772 53018 69794 74658 79527 87101 104691 106036 139588 149316 159054 174202 209382 244279 261303 318108 348404 418764 488558 522606 609707 732837 802631 977116 1045212 1219414 1465674 1605262 1709953 1829121 2407893 2438828 2931348 3210524 3419906 3658242 4815786 5129859 5618417 6839812 7316484 9631572 10259718 11236834 16855251 18879277 20519436 22473668 33710502 37758554 39328919 56637831 67421004 75517108 78657838 113275662 117986757 132154939 157315676 226551324 235973514 264309878 396464817 434223371 471947028 528619756 792929634 868446742 925084573 1302670113 1585859268 1736893484 1850169146 2605340226 2775253719 3039563597 3700338292 5210680452 5550507438 6079127194 9118690791 11101014876 12158254388 18237381582 21276945179 36474763164 42553890358 63830835537 85107780716 127661671074 255323342148