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4140004554 = 2337233115361
BaseRepresentation
bin1111011011000011…
…0111010011001010
3101200112011000121000
43312300313103022
531434320121204
61522450355430
7204410313060
oct36660672312
911615130530
104140004554
111834a19774
1297658bb76
1350c930b4a
142b3b9a030
151936cd039
hexf6c374ca

4140004554 has 128 divisors (see below), whose sum is σ = 11326095360. Its totient is φ = 1094860800.

The previous prime is 4140004511. The next prime is 4140004567. The reversal of 4140004554 is 4554000414.

It is a Harshad number since it is a multiple of its sum of digits (27).

4140004554 is a modest number, since divided by 4554 gives 4140 as remainder.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261834 + ... + 277194.

It is an arithmetic number, because the mean of its divisors is an integer number (88485120).

Almost surely, 24140004554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140004554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663047680).

4140004554 is an abundant number, since it is smaller than the sum of its proper divisors (7186090806).

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

4140004554 is a wasteful number, since it uses less digits than its factorization.

4140004554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15433 (or 15427 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4140004554 is about 64342.8671571294. The cubic root of 4140004554 is about 1605.7093623909.

Adding to 4140004554 its reverse (4554000414), we get a palindrome (8694004968).

The spelling of 4140004554 in words is "four billion, one hundred forty million, four thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 31 42 46 54 62 63 69 93 126 138 161 186 189 207 217 279 322 378 414 434 483 558 621 651 713 837 966 1242 1302 1426 1449 1674 1953 2139 2898 3906 4278 4347 4991 5859 6417 8694 9982 11718 12834 14973 15361 19251 29946 30722 38502 44919 46083 89838 92166 107527 134757 138249 215054 269514 276498 322581 353303 414747 476191 645162 706606 829494 952382 967743 1059909 1428573 1935486 2119818 2473121 2857146 2903229 3179727 3333337 4285719 4946242 5806458 6359454 6666674 7419363 8571438 9539181 10000011 10952393 12857157 14838726 19078362 20000022 21904786 22258089 25714314 30000033 32857179 44516178 60000066 65714358 66774267 76666751 90000099 98571537 133548534 153333502 180000198 197143074 230000253 295714611 460000506 591429222 690000759 1380001518 2070002277 4140004554