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231433010144 = 257367314707
BaseRepresentation
bin1101011110001001111…
…0110111101111100000
3211010100222001001020022
43113202132313233200
512242433322311034
6254152512333012
722502061062000
oct3274236675740
9733328031208
10231433010144
118a17199aa36
1238a2a544168
1318a9354cb6b
14b2b6992000
156047cb3b2e
hex35e27b7be0

231433010144 has 96 divisors (see below), whose sum is σ = 539283628800. Its totient is φ = 97704883584.

The previous prime is 231433010113. The next prime is 231433010173. The reversal of 231433010144 is 441010334132.

It is a happy number.

It is a super-2 number, since 2×2314330101442 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 578039 + ... + 892745.

It is an arithmetic number, because the mean of its divisors is an integer number (5617537800).

Almost surely, 2231433010144 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 231433010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269641814400).

231433010144 is an abundant number, since it is smaller than the sum of its proper divisors (307850618656).

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

231433010144 is an equidigital number, since it uses as much as digits as its factorization.

231433010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314805 (or 314783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 231433010144 its reverse (441010334132), we get a palindrome (672443344276).

The spelling of 231433010144 in words is "two hundred thirty-one billion, four hundred thirty-three million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 343 392 469 536 686 784 938 1072 1372 1568 1876 2144 2744 3283 3752 5488 6566 7504 10976 13132 15008 22981 26264 45962 52528 91924 105056 183848 314707 367696 629414 735392 1258828 2202949 2517656 4405898 5035312 8811796 10070624 15420643 17623592 21085369 30841286 35247184 42170738 61682572 70494368 84341476 107944501 123365144 147597583 168682952 215889002 246730288 295195166 337365904 431778004 493460576 590390332 674731808 863556008 1033183081 1180780664 1727112016 2066366162 2361561328 3454224032 4132732324 4723122656 7232281567 8265464648 14464563134 16530929296 28929126268 33061858592 57858252536 115716505072 231433010144