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2145242413125 = 3254771767357
BaseRepresentation
bin11111001101111010011…
…010010111100001000101
321121002020122001220120100
4133031322122113201011
5240121424024210000
64321302153554313
7310663051434450
oct37157232274105
97532218056510
102145242413125
11757879463559
122a7919415999
131273ac26c266
1475b8a442497
153ac0908ba00
hex1f37a697845

2145242413125 has 120 divisors (see below), whose sum is σ = 4487607805824. Its totient is φ = 966868560000.

The previous prime is 2145242413121. The next prime is 2145242413133. The reversal of 2145242413125 is 5213142425412.

2145242413125 is a `hidden beast` number, since 2 + 1 + 4 + 524 + 2 + 4 + 1 + 3 + 125 = 666.

It is not a de Polignac number, because 2145242413125 - 22 = 2145242413121 is a prime.

It is a super-2 number, since 2×21452424131252 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2145242413125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145242413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2411947 + ... + 3179303.

Almost surely, 22145242413125 is an apocalyptic number.

2145242413125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2145242413125 is an abundant number, since it is smaller than the sum of its proper divisors (2342365392699).

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

2145242413125 is an equidigital number, since it uses as much as digits as its factorization.

2145242413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767461 (or 767443 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 2145242413125 its reverse (5213142425412), we get a palindrome (7358384838537).

The spelling of 2145242413125 in words is "two trillion, one hundred forty-five billion, two hundred forty-two million, four hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 71 75 105 125 175 213 225 315 355 375 497 525 625 639 875 1065 1125 1491 1575 1775 1875 2485 2625 3195 4375 4473 5325 5625 7455 7875 8875 12425 13125 15975 22365 26625 37275 39375 44375 62125 79875 111825 133125 186375 310625 399375 559125 767357 931875 2302071 2795625 3836785 5371499 6906213 11510355 16114497 19183925 26857495 34531065 48343491 54482347 57551775 80572485 95919625 134287475 163447041 172655325 241717455 272411735 287758875 381376429 402862425 479598125 490341123 671437375 817235205 863276625 1144129287 1208587275 1362058675 1438794375 1906882145 2014312125 2451705615 3357186875 3432387861 4086176025 4316383125 5720646435 6042936375 6810293375 9534410725 10071560625 12258528075 17161939305 20430880125 28603232175 30214681875 34051466875 47672053625 61292640375 85809696525 102154400625 143016160875 238360268125 306463201875 429048482625 715080804375 2145242413125