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385134816840 = 23355971766163
BaseRepresentation
bin1011001101010111101…
…00101110111001001000
31100211002201002211020120
411212223310232321020
522302224003114330
6452532315423240
736552666633414
oct5465364567110
91324081084216
10385134816840
11139375622264
1262784a54b20
132a419a06387
14148d7c33d44
15a041864c10
hex59abd2ee48

385134816840 has 128 divisors (see below), whose sum is σ = 1191538252800. Its totient is φ = 99539767040.

The previous prime is 385134816827. The next prime is 385134816853. The reversal of 385134816840 is 48618431583.

It is an interprime number because it is at equal distance from previous prime (385134816827) and next prime (385134816853).

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, 119599 + ... + 885761.

It is an arithmetic number, because the mean of its divisors is an integer number (9308892600).

Almost surely, 2385134816840 is an apocalyptic number.

385134816840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385134816840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595769126400).

385134816840 is an abundant number, since it is smaller than the sum of its proper divisors (806403435960).

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

385134816840 is a wasteful number, since it uses less digits than its factorization.

385134816840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766307 (or 766303 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 385134816840 in words is "three hundred eighty-five billion, one hundred thirty-four million, eight hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 71 118 120 142 177 213 236 284 295 354 355 426 472 568 590 708 710 852 885 1065 1180 1416 1420 1704 1770 2130 2360 2840 3540 4189 4260 7080 8378 8520 12567 16756 20945 25134 33512 41890 50268 62835 83780 100536 125670 167560 251340 502680 766163 1532326 2298489 3064652 3830815 4596978 6129304 7661630 9193956 11492445 15323260 18387912 22984890 30646520 45203617 45969780 54397573 90407234 91939560 108795146 135610851 163192719 180814468 217590292 226018085 271221702 271987865 326385438 361628936 435180584 452036170 542443404 543975730 652770876 678054255 815963595 904072340 1084886808 1087951460 1305541752 1356108510 1631927190 1808144680 2175902920 2712217020 3209456807 3263854380 5424434040 6418913614 6527708760 9628370421 12837827228 16047284035 19256740842 25675654456 32094568070 38513481684 48141852105 64189136140 77026963368 96283704210 128378272280 192567408420 385134816840