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4332121104 = 2437910511087
BaseRepresentation
bin1000000100011011…
…01110110000010000
3102011220122112221210
410002031232300100
532333010333404
61553512220120
7212232264453
oct40215566020
912156575853
104332121104
111923407783
12a0a99a640
13540687a8c
142d14c949a
151a54cb689
hex10236ec10

4332121104 has 80 divisors (see below), whose sum is σ = 11354193920. Its totient is φ = 1423094400.

The previous prime is 4332121103. The next prime is 4332121127. The reversal of 4332121104 is 4011212334.

It is not an unprimeable number, because it can be changed into a prime (4332121103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984849 + ... + 3985935.

It is an arithmetic number, because the mean of its divisors is an integer number (141927424).

Almost surely, 24332121104 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 4332121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677096960).

4332121104 is an abundant number, since it is smaller than the sum of its proper divisors (7022072816).

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

4332121104 is a wasteful number, since it uses less digits than its factorization.

4332121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4332121104 is about 65818.8506736482. The cubic root of 4332121104 is about 1630.1723761647.

Adding to 4332121104 its reverse (4011212334), we get a palindrome (8343333438).

The spelling of 4332121104 in words is "four billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1051 1087 1264 1896 2102 2174 3153 3261 3792 4204 4348 6306 6522 8408 8696 12612 13044 16816 17392 25224 26088 50448 52176 83029 85873 166058 171746 249087 257619 332116 343492 498174 515238 664232 686984 996348 1030476 1142437 1328464 1373968 1992696 2060952 2284874 3427311 3985392 4121904 4569748 6854622 9139496 13709244 18278992 27418488 54836976 90252523 180505046 270757569 361010092 541515138 722020184 1083030276 1444040368 2166060552 4332121104