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4104100145040 = 2435719309126517
BaseRepresentation
bin111011101110001111011…
…011100110011110010000
3112112100101210110222210120
4323232033123212132100
51014220144114120130
612421221513230240
7602340266433210
oct73561733463620
915470353428716
104104100145040
1113425a25a1395
1256349aa02380
1323a026bc13ac
141028d4b42240
1571b5514c910
hex3bb8f6e6790

4104100145040 has 160 divisors (see below), whose sum is σ = 14541108476160. Its totient is φ = 938024036352.

The previous prime is 4104100145039. The next prime is 4104100145051. The reversal of 4104100145040 is 405410014014.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4104100145040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32375862 + ... + 32502378.

It is an arithmetic number, because the mean of its divisors is an integer number (90881927976).

Almost surely, 24104100145040 is an apocalyptic number.

4104100145040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4104100145040 is an abundant number, since it is smaller than the sum of its proper divisors (10437008331120).

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

4104100145040 is a wasteful number, since it uses less digits than its factorization.

4104100145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145849 (or 145843 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 4104100145040 its reverse (405410014014), we get a palindrome (4509510159054).

The spelling of 4104100145040 in words is "four trillion, one hundred four billion, one hundred million, one hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 19309 38618 57927 77236 96545 115854 126517 135163 154472 193090 231708 253034 270326 289635 308944 379551 386180 405489 463416 506068 540652 579270 632585 675815 759102 772360 810978 885619 926832 1012136 1081304 1158540 1265170 1351630 1518204 1544720 1621956 1771238 1897755 2024272 2027445 2162608 2317080 2530340 2656857 2703260 3036408 3243912 3542476 3795510 4054890 4428095 4634160 5060680 5313714 5406520 6072816 6487824 7084952 7591020 8109780 8856190 10121360 10627428 10813040 13284285 14169904 15182040 16219560 17712380 21254856 26568570 30364080 32439120 35424760 42509712 53137140 70849520 106274280 212548560 2442916753 4885833506 7328750259 9771667012 12214583765 14657500518 17100417271 19543334024 24429167530 29315001036 34200834542 36643751295 39086668048 48858335060 51301251813 58630002072 68401669084 73287502590 85502086355 97716670120 102602503626 117260004144 136803338168 146575005180 171004172710 195433340240 205205007252 256506259065 273606676336 293150010360 342008345420 410410014504 513012518130 586300020720 684016690840 820820029008 1026025036260 1368033381680 2052050072520 4104100145040