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4133113404 = 2237411319161
BaseRepresentation
bin1111011001011010…
…0100111000111100
3101200001011220201020
43312112210320330
531431034112104
61522042544140
7204264612210
oct36626447074
911601156636
104133113404
111831042302
12974208050
1350b38a344
142b2cc4940
15192cbb2d9
hexf65a4e3c

4133113404 has 96 divisors (see below), whose sum is σ = 11377884672. Its totient is φ = 1143168000.

The previous prime is 4133113393. The next prime is 4133113427. The reversal of 4133113404 is 4043113314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446584 + ... + 455744.

It is an arithmetic number, because the mean of its divisors is an integer number (118519632).

Almost surely, 24133113404 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 4133113404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688942336).

4133113404 is an abundant number, since it is smaller than the sum of its proper divisors (7244771268).

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

4133113404 is a wasteful number, since it uses less digits than its factorization.

4133113404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9347 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4133113404 is about 64289.2946298215. The cubic root of 4133113404 is about 1604.8179520036.

Adding to 4133113404 its reverse (4043113314), we get a palindrome (8176226718).

The spelling of 4133113404 in words is "four billion, one hundred thirty-three million, one hundred thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 131 164 246 262 287 393 492 524 574 786 861 917 1148 1572 1722 1834 2751 3444 3668 5371 5502 9161 10742 11004 16113 18322 21484 27483 32226 36644 37597 54966 64127 64452 75194 109932 112791 128254 150388 192381 225582 256508 375601 384762 451164 751202 769524 1126803 1200091 1502404 2253606 2400182 2629207 3600273 4507212 4800364 5258414 7200546 7887621 8400637 10516828 14401092 15775242 16801274 25201911 31550484 33602548 49203731 50403822 98407462 100807644 147611193 196814924 295222386 344426117 590444772 688852234 1033278351 1377704468 2066556702 4133113404