Search a number
-
+
231541423154132 = 227132199313785573
BaseRepresentation
bin110100101001010111110000…
…010001110010001111010100
31010100211010212212221012201212
4310221113300101302033110
5220322033313311413012
62140240354504240552
766525213212442560
oct6451276021621724
91110733785835655
10231541423154132
116785a191109573
1221b76342170158
139c27354991700
144126943c266a0
151bb7dccb14b22
hexd295f04723d4

231541423154132 has 144 divisors (see below), whose sum is σ = 505575315705600. Its totient is φ = 90847216272384.

The previous prime is 231541423154053. The next prime is 231541423154149. The reversal of 231541423154132 is 231451324145132.

It is a super-2 number, since 2×2315414231541322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231541423154132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294349298 + ... + 295134870.

It is an arithmetic number, because the mean of its divisors is an integer number (3510939692400).

Almost surely, 2231541423154132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231541423154132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787657852800).

231541423154132 is an abundant number, since it is smaller than the sum of its proper divisors (274033892551468).

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

231541423154132 is a wasteful number, since it uses less digits than its factorization.

231541423154132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786122 (or 786107 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

Adding to 231541423154132 its reverse (231451324145132), we get a palindrome (462992747299264).

The spelling of 231541423154132 in words is "two hundred thirty-one trillion, five hundred forty-one billion, four hundred twenty-three million, one hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 199 313 338 364 398 626 676 796 1183 1252 1393 2191 2366 2587 2786 4069 4382 4732 5174 5572 8138 8764 10348 16276 18109 28483 33631 36218 52897 56966 62287 67262 72436 105794 113932 124574 134524 211588 235417 249148 370279 436009 470834 740558 785573 809731 872018 941668 1481116 1571146 1619462 1744036 3142292 3238924 5499011 5668117 10212449 10526503 10998022 11336234 20424898 21053006 21996044 22672468 40849796 42106012 71487143 73685521 132761837 142974286 147371042 156329027 245884349 265523674 285948572 294742084 312658054 491768698 531047348 625316108 929332859 983537396 1094303189 1721190443 1858665718 2032277351 2188606378 3196496537 3442380886 3717331436 4064554702 4377212756 6392993074 6884761772 8129109404 12785986148 14225941457 22375475759 26419605563 28451882914 41554454981 44750951518 48930985451 52839211126 56903765828 83108909962 89501903036 97861970902 105678422252 166217819924 184937238941 195723941804 290881184867 342516898157 369874477882 581762369734 636102810863 685033796314 739748955764 1163524739468 1272205621726 1370067592628 2544411243452 4452719676041 8269336541219 8905439352082 16538673082438 17810878704164 33077346164876 57885355788533 115770711577066 231541423154132