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4121044344032 = 2571114871124749
BaseRepresentation
bin111011111110000001011…
…000100101110011100000
3112120222010122222111010012
4323332001120211303200
51020004344323002112
612433103122224052
7603510214646240
oct73760130456340
915528118874105
104121044344032
1113497a8107930
125668294b5028
1323b7c7477b45
14103661257b20
15722e79a1022
hex3bf81625ce0

4121044344032 has 96 divisors (see below), whose sum is σ = 10122102144000. Its totient is φ = 1604520506880.

The previous prime is 4121044344029. The next prime is 4121044344047. The reversal of 4121044344032 is 2304434401214.

4121044344032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4121044344032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3101594 + ... + 4226342.

It is an arithmetic number, because the mean of its divisors is an integer number (105438564000).

Almost surely, 24121044344032 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 4121044344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061051072000).

4121044344032 is an abundant number, since it is smaller than the sum of its proper divisors (6001057799968).

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

4121044344032 is a wasteful number, since it uses less digits than its factorization.

4121044344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126264 (or 1126256 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4121044344032 its reverse (2304434401214), we get a palindrome (6425478745246).

The spelling of 4121044344032 in words is "four trillion, one hundred twenty-one billion, forty-four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 1487 2464 2974 5948 10409 11896 16357 20818 23792 32714 41636 47584 65428 83272 114499 130856 166544 228998 261712 333088 457996 523424 915992 1124749 1831984 2249498 3663968 4498996 7873243 8997992 12372239 15746486 17995984 24744478 31492972 35991968 49488956 62985944 86605673 98977912 125971888 173211346 197955824 251943776 346422692 395911648 692845384 1385690768 1672501763 2771381536 3345003526 6690007052 11707512341 13380014104 18397519393 23415024682 26760028208 36795038786 46830049364 53520056416 73590077572 93660098728 128782635751 147180155144 187320197456 257565271502 294360310288 374640394912 515130543004 588720620576 1030261086008 2060522172016 4121044344032