Search a number
-
+
2480341629440 = 2956741934513
BaseRepresentation
bin100100000101111111111…
…000011011101000000000
322210010012021100212110002
4210011333320123220000
5311114214424120230
65135241521055132
7344125114662623
oct44057770335000
98703167325402
102480341629440
118769a8207544
123408594874a8
1314cb83a1c6cc
1488098d19dba
15447bcd78545
hex2417fe1ba00

2480341629440 has 160 divisors (see below), whose sum is σ = 6050348377920. Its totient is φ = 974967865344.

The previous prime is 2480341629431. The next prime is 2480341629523. The reversal of 2480341629440 is 449261430842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71849624 + ... + 71884136.

It is an arithmetic number, because the mean of its divisors is an integer number (37814677362).

Almost surely, 22480341629440 is an apocalyptic number.

2480341629440 is a gapful number since it is divisible by the number (20) 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 2480341629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025174188960).

2480341629440 is an abundant number, since it is smaller than the sum of its proper divisors (3570006748480).

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

2480341629440 is an equidigital number, since it uses as much as digits as its factorization.

2480341629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35022 (or 35006 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 2480341629440 in words is "two trillion, four hundred eighty billion, three hundred forty-one million, six hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 419 512 536 640 670 838 1072 1280 1340 1676 2095 2144 2560 2680 3352 4190 4288 5360 6704 8380 8576 10720 13408 16760 17152 21440 26816 28073 33520 34304 34513 42880 53632 56146 67040 69026 85760 107264 112292 134080 138052 140365 171520 172565 214528 224584 268160 276104 280730 345130 449168 536320 552208 561460 690260 898336 1072640 1104416 1122920 1380520 1796672 2208832 2245840 2312371 2761040 3593344 4417664 4491680 4624742 5522080 7186688 8835328 8983360 9249484 11044160 11561855 14373376 14460947 17670656 17966720 18498968 22088320 23123710 28921894 35933440 36997936 44176640 46247420 57843788 71866880 72304735 73995872 88353280 92494840 115687576 144609470 147991744 184989680 231375152 289218940 295983488 369979360 462750304 578437880 591966976 739958720 925500608 968883449 1156875760 1183933952 1479917440 1851001216 1937766898 2313751520 2959834880 3702002432 3875533796 4627503040 4844417245 5919669760 7404004864 7751067592 9255006080 9688834490 15502135184 18510012160 19377668980 31004270368 37020024320 38755337960 62008540736 77510675920 124017081472 155021351840 248034162944 310042703680 496068325888 620085407360 1240170814720 2480341629440