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240054452055400 = 23521444983069573
BaseRepresentation
bin110110100101010000001000…
…010101110110110101101000
31011110221222111111201002101111
4312211100020111312311220
5222431023004211233100
62210315254242200104
7101364235051250413
oct6645201025666550
91143858444632344
10240054452055400
116a541580a845a4
1222b101b2353034
13a3c4064a84168
14433c9a9c18b7a
151cb457941d6ba
hexda5408576d68

240054452055400 has 48 divisors (see below), whose sum is σ = 558165235099500. Its totient is φ = 96015134100480.

The previous prime is 240054452055329. The next prime is 240054452055409. The reversal of 240054452055400 is 4550254450042.

It can be written as a sum of positive squares in 6 ways, for example, as 203094934295044 + 36959517760356 = 14251138^2 + 6079434^2 .

It is a super-2 number, since 2×2400544520554002 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (240054452055409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38644987 + ... + 44424586.

Almost surely, 2240054452055400 is an apocalyptic number.

240054452055400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240054452055400 is an abundant number, since it is smaller than the sum of its proper divisors (318110783044100).

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

240054452055400 is a wasteful number, since it uses less digits than its factorization.

240054452055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83084038 (or 83084029 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

The spelling of 240054452055400 in words is "two hundred forty trillion, fifty-four billion, four hundred fifty-two million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 14449 28898 57796 72245 115592 144490 288980 361225 577960 722450 1444900 2889800 83069573 166139146 332278292 415347865 664556584 830695730 1661391460 2076739325 3322782920 4153478650 8306957300 16613914600 1200272260277 2400544520554 4801089041108 6001361301385 9602178082216 12002722602770 24005445205540 30006806506925 48010890411080 60013613013850 120027226027700 240054452055400