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4411001383072 = 252914931900901
BaseRepresentation
bin100000000110000010000…
…1010111010100010100000
3120121200120021022020101021
41000030010022322202200
51034232212323224242
613214215220015224
7633453504060214
oct100140412724240
916550507266337
104411001383072
111450771316999
125b2a6b531514
1325cc56726aab
141136ca652944
1579b18617b67
hex403042ba8a0

4411001383072 has 48 divisors (see below), whose sum is σ = 9043905717000. Its totient is φ = 2115157273600.

The previous prime is 4411001383069. The next prime is 4411001383153. The reversal of 4411001383072 is 2703831001144.

It can be written as a sum of positive squares in 4 ways, for example, as 2584622120976 + 1826379262096 = 1607676^2 + 1351436^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15812179 + ... + 16088722.

Almost surely, 24411001383072 is an apocalyptic number.

It is an amenable number.

4411001383072 is an abundant number, since it is smaller than the sum of its proper divisors (4632904333928).

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

4411001383072 is a wasteful number, since it uses less digits than its factorization.

4411001383072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31901089 (or 31901081 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 4411001383072 in words is "four trillion, four hundred eleven billion, one million, three hundred eighty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 116 149 232 298 464 596 928 1192 2384 4321 4768 8642 17284 34568 69136 138272 31900901 63801802 127603604 255207208 510414416 925126129 1020828832 1850252258 3700504516 4753234249 7401009032 9506468498 14802018064 19012936996 29604036128 38025873992 76051747984 137843793221 152103495968 275687586442 551375172884 1102750345768 2205500691536 4411001383072