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1428227558415 = 325710144891641
BaseRepresentation
bin10100110010001000111…
…111110000110000001111
312001112111122010100002100
4110302020333300300033
5141400002223332130
63012041345130143
7205120544640510
oct24621077606017
95045448110070
101428227558415
1150078724a769
121b0972629953
13a48b1a0a768
144d1ab4b2a07
1527241375c60
hex14c88ff0c0f

1428227558415 has 48 divisors (see below), whose sum is σ = 2857263230016. Its totient is φ = 646439616000.

The previous prime is 1428227558411. The next prime is 1428227558419. The reversal of 1428227558415 is 5148557228241.

1428227558415 is a `hidden beast` number, since 1 + 4 + 2 + 82 + 2 + 7 + 558 + 4 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (1428227558411) and next prime (1428227558419).

It is not a de Polignac number, because 1428227558415 - 22 = 1428227558411 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428227558411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22414006 + ... + 22477635.

It is an arithmetic number, because the mean of its divisors is an integer number (59526317292).

Almost surely, 21428227558415 is an apocalyptic number.

1428227558415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1428227558415 is an abundant number, since it is smaller than the sum of its proper divisors (1429035671601).

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

1428227558415 is a wasteful number, since it uses less digits than its factorization.

1428227558415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44891760 (or 44891757 counting only the distinct ones).

The product of its digits is 7168000, while the sum is 54.

It can be divided in two parts, 14282275 and 58415, that added together give a triangular number (14340690 = T5355).

The spelling of 1428227558415 in words is "one trillion, four hundred twenty-eight billion, two hundred twenty-seven million, five hundred fifty-eight thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 303 315 505 707 909 1515 2121 3535 4545 6363 10605 31815 44891641 134674923 224458205 314241487 404024769 673374615 942724461 1571207435 2020123845 2828173383 4534055741 4713622305 13602167223 14140866915 22670278705 31738390187 40806501669 68010836115 95215170561 158691950935 204032508345 285645511683 476075852805 1428227558415