Search a number
-
+
320200540153254 = 232192416076400151
BaseRepresentation
bin100100011001110000111111…
…1011100111110010110100110
31112222201212120012002101222100
41020303201333130332112212
5313432131201234401004
63053002033013512530
7124305503611626555
oct11063417734762646
91488655505071870
10320200540153254
119303131733a902
122bab5015042746
1310988a208ab317
14590db087bdd9c
15270423e2b4739
hex123387f73e5a6

320200540153254 has 96 divisors (see below), whose sum is σ = 734520356444160. Its totient is φ = 100530484128000.

The previous prime is 320200540153231. The next prime is 320200540153313. The reversal of 320200540153254 is 452351045002023.

320200540153254 is a `hidden beast` number, since 3 + 2 + 0 + 20 + 0 + 54 + 0 + 1 + 532 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46830079 + ... + 53230229.

It is an arithmetic number, because the mean of its divisors is an integer number (7651253712960).

Almost surely, 2320200540153254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320200540153254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367260178222080).

320200540153254 is an abundant number, since it is smaller than the sum of its proper divisors (414319816290906).

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

320200540153254 is a wasteful number, since it uses less digits than its factorization.

320200540153254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401026 (or 6401023 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 320200540153254 its reverse (452351045002023), we get a palindrome (772551585155277).

The spelling of 320200540153254 in words is "three hundred twenty trillion, two hundred billion, five hundred forty million, one hundred fifty-three thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 241 342 482 607 723 1214 1446 1821 2169 3642 4338 4579 5463 9158 10926 11533 13737 23066 27474 34599 41211 69198 82422 103797 146287 207594 292574 438861 877722 1316583 2633166 2779453 5558906 6400151 8338359 12800302 16676718 19200453 25015077 38400906 50030154 57601359 115202718 121602869 243205738 364808607 729617214 1094425821 1542436391 2188851642 3084872782 3884891657 4627309173 7769783314 9254618346 11654674971 13881927519 23309349942 27763855038 29306291429 34964024913 58612582858 69928049826 73812941483 87918874287 147625882966 175837748574 221438824449 263756622861 442877648898 527513245722 664316473347 936258889337 1328632946694 1872517778674 2808776668011 5617553336022 8426330004033 16852660008066 17788918897403 35577837794806 53366756692209 106733513384418 160100270076627 320200540153254