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4021130431104 = 273461145915569
BaseRepresentation
bin111010100000111110000…
…011010000101010000000
3112020102020111022211010120
4322200332003100222000
51011340233342243404
612315140512300240
7563342234465403
oct72407603205200
915212214284116
104021130431104
111310396330276
1254b3a4541680
1323226374a2c7
14dc8a3805d3a
156e8eb0bd9d9
hex3a83e0d0a80

4021130431104 has 128 divisors (see below), whose sum is σ = 10712321928000. Its totient is φ = 1336466718720.

The previous prime is 4021130431069. The next prime is 4021130431133. The reversal of 4021130431104 is 4011340311204.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 258270232 + ... + 258285800.

Almost surely, 24021130431104 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 4021130431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356160964000).

4021130431104 is an abundant number, since it is smaller than the sum of its proper divisors (6691191496896).

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

4021130431104 is a wasteful number, since it uses less digits than its factorization.

4021130431104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4021130431104 its reverse (4011340311204), we get a palindrome (8032470742308).

The spelling of 4021130431104 in words is "four trillion, twenty-one billion, one hundred thirty million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 461 922 1383 1459 1844 2766 2918 3688 4377 5532 5836 7376 8754 11064 11672 14752 15569 17508 22128 23344 29504 31138 35016 44256 46688 46707 59008 62276 70032 88512 93376 93414 124552 140064 177024 186752 186828 249104 280128 373656 498208 560256 672599 747312 996416 1345198 1494624 1992832 2017797 2690396 2989248 4035594 5380792 5978496 7177309 8071188 10761584 14354618 16142376 21523168 21531927 22715171 28709236 32284752 43046336 43063854 45430342 57418472 64569504 68145513 86092672 86127708 90860684 114836944 129139008 136291026 172255416 181721368 229673888 258278016 272582052 344510832 363442736 459347776 545164104 689021664 726885472 918695552 1090328208 1378043328 1453770944 2180656416 2756086656 2907541888 4361312832 8722625664 10471693831 20943387662 31415081493 41886775324 62830162986 83773550648 125660325972 167547101296 251320651944 335094202592 502641303888 670188405184 1005282607776 1340376810368 2010565215552 4021130431104