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145334131425 = 3252794139803
BaseRepresentation
bin1000011101011010010…
…1101101101011100001
3111220010120210211110100
42013112211231223201
54340121014201200
6150433210453013
713333341506610
oct2072645555341
9456116724410
10145334131425
11566aa36801a
1224200134169
1310921a0bc92
147069c29877
153ba9179d00
hex21d696dae1

145334131425 has 72 divisors (see below), whose sum is σ = 297558615744. Its totient is φ = 66424625280.

The previous prime is 145334131381. The next prime is 145334131427. The reversal of 145334131425 is 524131433541.

145334131425 is a `hidden beast` number, since 1 + 4 + 5 + 334 + 1 + 314 + 2 + 5 = 666.

It is not a de Polignac number, because 145334131425 - 211 = 145334129377 is a prime.

It is a super-2 number, since 2×1453341314252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145334131425.

It is not an unprimeable number, because it can be changed into a prime (145334131427) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14820574 + ... + 14830376.

It is an arithmetic number, because the mean of its divisors is an integer number (4132758552).

Almost surely, 2145334131425 is an apocalyptic number.

145334131425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145334131425 is an abundant number, since it is smaller than the sum of its proper divisors (152224484319).

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

145334131425 is a wasteful number, since it uses less digits than its factorization.

145334131425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19239 (or 19231 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 145334131425 its reverse (524131433541), we get a palindrome (669465564966).

The spelling of 145334131425 in words is "one hundred forty-five billion, three hundred thirty-four million, one hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 9413 9803 28239 29409 47065 49015 65891 68621 84717 88227 141195 147045 197673 205863 235325 245075 329455 343105 423585 441135 593019 617589 705975 735225 988365 1029315 1647275 1715525 2117925 2205675 2965095 3087945 4941825 5146575 14825475 15439725 92275639 276826917 461378195 645929473 830480751 1384134585 1937788419 2306890975 3229647365 4152403755 5813365257 6920672925 9688942095 16148236825 20762018775 29066826285 48444710475 145334131425