Search a number
-
+
31344403023324 = 22329712281393109
BaseRepresentation
bin1110010000001111100000…
…00000100000010111011100
311002222111101100011111201200
413020013300000200113130
513102021314133221244
6150355230413435500
76413362345501236
oct710076000402734
9132874340144650
1031344403023324
119a950a53a5936
12362290919bb90
1314649c286a091
147a5111ba7256
1539551701a669
hex1c81f00205dc

31344403023324 has 72 divisors (see below), whose sum is σ = 79348256573040. Its totient is φ = 10432771833600.

The previous prime is 31344403023289. The next prime is 31344403023331. The reversal of 31344403023324 is 42332030444313.

31344403023324 is a `hidden beast` number, since 3 + 1 + 344 + 4 + 0 + 302 + 3 + 3 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79538082 + ... + 79931190.

It is an arithmetic number, because the mean of its divisors is an integer number (1102059119070).

Almost surely, 231344403023324 is an apocalyptic number.

It is an amenable number.

31344403023324 is an abundant number, since it is smaller than the sum of its proper divisors (48003853549716).

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

31344403023324 is a wasteful number, since it uses less digits than its factorization.

31344403023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396371 (or 396366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 31344403023324 its reverse (42332030444313), we get a palindrome (73676433467637).

The spelling of 31344403023324 in words is "thirty-one trillion, three hundred forty-four billion, four hundred three million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 971 1942 2281 2913 3884 4562 5826 6843 8739 9124 11652 13686 17478 20529 27372 34956 41058 82116 393109 786218 1179327 1572436 2214851 2358654 3537981 4429702 4717308 6644553 7075962 8859404 13289106 14151924 19933659 26578212 39867318 79734636 381708839 763417678 896681629 1145126517 1526835356 1793363258 2290253034 2690044887 3435379551 3586726516 4580506068 5380089774 6870759102 8070134661 10760179548 13741518204 16140269322 32280538644 870677861759 1741355723518 2612033585277 3482711447036 5224067170554 7836100755831 10448134341108 15672201511662 31344403023324