Search a number
-
+
23431000404312 = 2332477616390911
BaseRepresentation
bin1010101001111011101000…
…11101001011000101011000
310001221222111201000212012100
411110331310131023011120
511032343142100414222
6121500015240043400
74635556014202344
oct524756435130530
9101858451025170
1023431000404312
117514038979766
122765102763560
13100c6c2b66277
145b00d0576624
152a976285d4ac
hex154f7474b158

23431000404312 has 96 divisors (see below), whose sum is σ = 64810713876480. Its totient is φ = 7643971711680.

The previous prime is 23431000404283. The next prime is 23431000404341. The reversal of 23431000404312 is 21340400013432.

23431000404312 is a `hidden beast` number, since 2 + 34 + 310 + 0 + 0 + 4 + 0 + 4 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (23431000404283) and next prime (23431000404341).

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 23 ways as a sum of consecutive naturals, for example, 257690137 + ... + 257781047.

It is an arithmetic number, because the mean of its divisors is an integer number (675111602880).

Almost surely, 223431000404312 is an apocalyptic number.

It is an amenable number.

23431000404312 is an abundant number, since it is smaller than the sum of its proper divisors (41379713472168).

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

23431000404312 is a wasteful number, since it uses less digits than its factorization.

23431000404312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167133 (or 167126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23431000404312 its reverse (21340400013432), we get a palindrome (44771400417744).

The spelling of 23431000404312 in words is "twenty-three trillion, four hundred thirty-one billion, four hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 76163 90911 152326 181822 228489 272733 304652 363644 456978 545466 609304 685467 727288 818199 913956 1090932 1370934 1636398 1827912 2181864 2741868 3272796 3579661 4272817 5483736 6545592 7159322 8545634 10738983 12818451 14318644 17091268 21477966 25636902 28637288 32216949 34182536 38455353 42955932 51273804 64433898 76910706 85911864 102547608 128867796 153821412 257735592 307642824 6924054493 13848108986 20772163479 27696217972 41544326958 55392435944 62316490437 83088653916 124632980874 166177307832 249265961748 325430561171 498531923496 650861122342 976291683513 1301722244684 1952583367026 2603444489368 2928875050539 3905166734052 5857750101078 7810333468104 11715500202156 23431000404312