Search a number
-
+
11343411010432 = 271929409393241
BaseRepresentation
bin1010010100010001011111…
…1110111101101110000000
31111011102022211001112012201
42211010113332331232000
52441322301204313212
640043031401202544
72250351204462424
oct245042776755600
944142284045181
1011343411010432
11368379387a936
121332519490454
136438a9bb4787
142b3049cbab84
1514a10502eb57
hexa5117fbdb80

11343411010432 has 128 divisors (see below), whose sum is σ = 24668070660000. Its totient is φ = 5175214571520.

The previous prime is 11343411010381. The next prime is 11343411010441. The reversal of 11343411010432 is 23401011434311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 11343411010432.

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, 28649332 + ... + 29042572.

Almost surely, 211343411010432 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 11343411010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334035330000).

11343411010432 is an abundant number, since it is smaller than the sum of its proper divisors (13324659649568).

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

11343411010432 is a wasteful number, since it uses less digits than its factorization.

11343411010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393712 (or 393700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 11343411010432 its reverse (23401011434311), we get a palindrome (34744422444743).

The spelling of 11343411010432 in words is "eleven trillion, three hundred forty-three billion, four hundred eleven million, ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 64 76 116 128 152 232 304 409 464 551 608 818 928 1102 1216 1636 1856 2204 2432 3272 3712 4408 6544 7771 8816 11861 13088 15542 17632 23722 26176 31084 35264 47444 52352 62168 70528 94888 124336 189776 225359 248672 379552 393241 450718 497344 759104 786482 901436 994688 1518208 1572964 1802872 3145928 3605744 6291856 7211488 7471579 11403989 12583712 14422976 14943158 22807978 25167424 28845952 29886316 45615956 50334848 59772632 91231912 119545264 160835569 182463824 216675791 239090528 321671138 364927648 433351582 478181056 643342276 729855296 866703164 956362112 1286684552 1459710592 1733406328 2573369104 3055875811 3466812656 4664231501 5146738208 6111751622 6933625312 9328463002 10293476416 12223503244 13867250624 18656926004 20586952832 24447006488 27734501248 37313852008 48894012976 74627704016 88620398519 97788025952 149255408032 177240797038 195576051904 298510816064 354481594076 391152103808 597021632128 708963188152 1417926376304 2835852752608 5671705505216 11343411010432