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1004720214312 = 233213954447421
BaseRepresentation
bin11101001111011011111…
…11011101000100101000
310120001100200100011020100
432213231333131010220
5112430131333324222
62045321225025400
7132405621624543
oct16475577350450
93501320304210
101004720214312
11358110405861
1214287a925260
137398b186469
14368b32b785a
151b205d534ac
hexe9edfdd128

1004720214312 has 24 divisors (see below), whose sum is σ = 2721117247290. Its totient is φ = 334906738080.

The previous prime is 1004720214307. The next prime is 1004720214313. The reversal of 1004720214312 is 2134120274001.

1004720214312 is a `hidden beast` number, since 100 + 47 + 202 + 1 + 4 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 787595901156 + 217124313156 = 887466^2 + 465966^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (1004720214313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6977223639 + ... + 6977223782.

Almost surely, 21004720214312 is an apocalyptic number.

1004720214312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004720214312 is an abundant number, since it is smaller than the sum of its proper divisors (1716397032978).

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

1004720214312 is a wasteful number, since it uses less digits than its factorization.

1004720214312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13954447433 (or 13954447426 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 1004720214312 its reverse (2134120274001), we get a palindrome (3138840488313).

The spelling of 1004720214312 in words is "one trillion, four billion, seven hundred twenty million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13954447421 27908894842 41863342263 55817789684 83726684526 111635579368 125590026789 167453369052 251180053578 334906738104 502360107156 1004720214312