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4103714004 = 22313232774129
BaseRepresentation
bin1111010010011001…
…1011010011010100
3101120222212021022120
43310212123103110
531401022322004
61515112455540
7203456664525
oct36446332324
911528767276
104103714004
111816492085
129663aa5b0
13505265850
142ad03084c
151904103d9
hexf499b4d4

4103714004 has 96 divisors (see below), whose sum is σ = 10801701120. Its totient is φ = 1203130368.

The previous prime is 4103714003. The next prime is 4103714009. The reversal of 4103714004 is 4004173014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103714003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 991812 + ... + 995940.

It is an arithmetic number, because the mean of its divisors is an integer number (112517720).

Almost surely, 24103714004 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 4103714004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400850560).

4103714004 is an abundant number, since it is smaller than the sum of its proper divisors (6697987116).

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

4103714004 is a wasteful number, since it uses less digits than its factorization.

4103714004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4449 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4103714004 is about 64060.2373083335. The cubic root of 4103714004 is about 1601.0037977163.

Adding to 4103714004 its reverse (4004173014), we get a palindrome (8107887018).

The spelling of 4103714004 in words is "four billion, one hundred three million, seven hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 277 299 554 598 831 897 1108 1196 1662 1794 3324 3588 3601 4129 6371 7202 8258 10803 12387 12742 14404 16516 19113 21606 24774 25484 38226 43212 49548 53677 76452 82823 94967 107354 161031 165646 189934 214708 248469 284901 322062 331292 379868 496938 569802 644124 993876 1139604 1143733 1234571 2287466 2469142 3431199 3703713 4574932 4938284 6862398 7407426 13724796 14814852 14868529 26305859 29737058 44605587 52611718 59474116 78917577 89211174 105223436 157835154 178422348 315670308 341976167 683952334 1025928501 1367904668 2051857002 4103714004