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4141020504504 = 23313103283455333
BaseRepresentation
bin111100010000101000000…
…011100110000110111000
3112122212200211122120200110
4330100220003212012320
51020321302222121004
612450205240504320
7605115230343162
oct74205003460670
915585624576613
104141020504504
111357219133964
1256a68347b0a0
1324065bc26840
141045d82d5932
1572ab65ad589
hex3c4280e61b8

4141020504504 has 128 divisors (see below), whose sum is σ = 11296945820160. Its totient is φ = 1257328286208.

The previous prime is 4141020504493. The next prime is 4141020504553. The reversal of 4141020504504 is 4054050201414.

It is a congruent number.

It is an unprimeable number.

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, 8866822 + ... + 9322154.

It is an arithmetic number, because the mean of its divisors is an integer number (88257389220).

Almost surely, 24141020504504 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 4141020504504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648472910080).

4141020504504 is an abundant number, since it is smaller than the sum of its proper divisors (7155925315656).

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

4141020504504 is a wasteful number, since it uses less digits than its factorization.

4141020504504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455741 (or 455737 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 4141020504504 its reverse (4054050201414), we get a palindrome (8195070705918).

The spelling of 4141020504504 in words is "four trillion, one hundred forty-one billion, twenty million, five hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 206 283 309 312 412 566 618 824 849 1132 1236 1339 1698 2264 2472 2678 3396 3679 4017 5356 6792 7358 8034 10712 11037 14716 16068 22074 29149 29432 32136 44148 58298 87447 88296 116596 174894 233192 349788 378937 455333 699576 757874 910666 1136811 1365999 1515748 1821332 2273622 2731998 3031496 3642664 4547244 5463996 5919329 9094488 10927992 11838658 17757987 23677316 35515974 46899299 47354632 71031948 93798598 128859239 140697897 142063896 187597196 257718478 281395794 375194392 386577717 515436956 562791588 609690887 773155434 1030873912 1125583176 1219381774 1546310868 1675170107 1829072661 2438763548 3092621736 3350340214 3658145322 4877527096 5025510321 6700680428 7316290644 10051020642 13272501617 13401360856 14632581288 20102041284 26545003234 39817504851 40204082568 53090006468 79635009702 106180012936 159270019404 172542521021 318540038808 345085042042 517627563063 690170084084 1035255126126 1380340168168 2070510252252 4141020504504