Search a number
-
+
1463890842720 = 25335338863621
BaseRepresentation
bin10101010011010110101…
…100011001010001100000
312011221120001212220001000
4111103112230121101200
5142441022023431340
63040300245112000
7210522402566355
oct25232654312140
95157501786030
101463890842720
11514918243049
121b78660b8600
13a8076486b57
1450bd1b1a62c
152812c274d30
hex154d6b19460

1463890842720 has 96 divisors (see below), whose sum is σ = 5123617964640. Its totient is φ = 390370890240.

The previous prime is 1463890842709. The next prime is 1463890842737. The reversal of 1463890842720 is 272480983641.

1463890842720 is a `hidden beast` number, since 1 + 463 + 89 + 0 + 84 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 169427491 + ... + 169436130.

It is an arithmetic number, because the mean of its divisors is an integer number (53371020465).

Almost surely, 21463890842720 is an apocalyptic number.

1463890842720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1463890842720 is an abundant number, since it is smaller than the sum of its proper divisors (3659727121920).

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

1463890842720 is a wasteful number, since it uses less digits than its factorization.

1463890842720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338863645 (or 338863631 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1463890842720 in words is "one trillion, four hundred sixty-three billion, eight hundred ninety million, eight hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 338863621 677727242 1016590863 1355454484 1694318105 2033181726 2710908968 3049772589 3388636210 4066363452 5082954315 5421817936 6099545178 6777272420 8132726904 9149317767 10165908630 10843635872 12199090356 13554544840 15248862945 16265453808 18298635534 20331817260 24398180712 27109089680 30497725890 32530907616 36597271068 40663634520 45746588835 48796361424 54218179360 60995451780 73194542136 81327269040 91493177670 97592722848 121990903560 146389084272 162654538080 182986355340 243981807120 292778168544 365972710680 487963614240 731945421360 1463890842720