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4845281440000 = 285455032
BaseRepresentation
bin100011010000010000101…
…0001110111000100000000
3122011012111222211221002011
41012200201101313010000
51113341114022040000
614145520324502304
71010026406462161
oct106404121670400
918135458757064
104845281440000
1115a8966069451
1266306ab4a994
13291ba6086191
1412a727475768
15860847802ba
hex46821477100

4845281440000 has 135 divisors (see below), whose sum is σ = 12087872941683. Its totient is φ = 1937760384000.

The previous prime is 4845281439997. The next prime is 4845281440079. The reversal of 4845281440000 is 441825484.

The square root of 4845281440000 is 2201200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 379870064896 + 4465411375104 = 616336^2 + 2113152^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 880477249 + ... + 880482751.

Almost surely, 24845281440000 is an apocalyptic number.

4845281440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4845281440000 is the 2201200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4845281440000

4845281440000 is an abundant number, since it is smaller than the sum of its proper divisors (7242591501683).

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

4845281440000 is an frugal number, since it uses more digits than its factorization.

4845281440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 40.

The spelling of 4845281440000 in words is "four trillion, eight hundred forty-five billion, two hundred eighty-one million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 5503 6400 8000 10000 11006 16000 20000 22012 27515 32000 40000 44024 55030 80000 88048 110060 137575 160000 176096 220120 275150 352192 440240 550300 687875 704384 880480 1100600 1375750 1408768 1760960 2201200 2751500 3439375 3521920 4402400 5503000 6878750 7043840 8804800 11006000 13757500 17609600 22012000 27515000 30283009 35219200 44024000 55030000 60566018 88048000 110060000 121132036 151415045 176096000 220120000 242264072 302830090 440240000 484528144 605660180 757075225 880480000 969056288 1211320360 1514150450 1938112576 2422640720 3028300900 3785376125 3876225152 4845281440 6056601800 7570752250 7752450304 9690562880 12113203600 15141504500 18926880625 19381125760 24226407200 30283009000 37853761250 38762251520 48452814400 60566018000 75707522500 96905628800 121132036000 151415045000 193811257600 242264072000 302830090000 484528144000 605660180000 969056288000 1211320360000 2422640720000 4845281440000