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1145294430525 = 325272263394987
BaseRepresentation
bin10000101010101000110…
…111100010000100111101
311001111012112112020112200
4100222220313202010331
5122231030333234100
62234050242222113
7145513315014600
oct20525067420475
94044175466480
101145294430525
11401797937053
12165b70954939
13840019b715b
143d60ac9a337
151ebd219ce00
hex10aa8de213d

1145294430525 has 108 divisors (see below), whose sum is σ = 2395343107872. Its totient is φ = 521571113280.

The previous prime is 1145294430493. The next prime is 1145294430551. The reversal of 1145294430525 is 5250344925411.

1145294430525 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 94 + 4 + 30 + 525 = 666.

It is not a de Polignac number, because 1145294430525 - 25 = 1145294430493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2702082 + ... + 3097068.

Almost surely, 21145294430525 is an apocalyptic number.

1145294430525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1145294430525 is an abundant number, since it is smaller than the sum of its proper divisors (1250048677347).

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

1145294430525 is a wasteful number, since it uses less digits than its factorization.

1145294430525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395280 (or 395265 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1145294430525 in words is "one trillion, one hundred forty-five billion, two hundred ninety-four million, four hundred thirty thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 263 315 441 525 735 789 1225 1315 1575 1841 2205 2367 3675 3945 5523 6575 9205 11025 11835 12887 16569 19725 27615 38661 46025 59175 64435 82845 115983 138075 193305 322175 394987 414225 579915 966525 1184961 1974935 2764909 2899575 3554883 5924805 8294727 9874675 13824545 17774415 19354363 24884181 29624025 41473635 58063089 69122725 88872075 96771815 103881581 124420905 174189267 207368175 290315445 311644743 483859075 519407905 622104525 727171067 870946335 934934229 1451577225 1558223715 2181513201 2597039525 3635855335 4354731675 4674671145 5090197469 6544539603 7791118575 10907566005 15270592407 18179276675 23373355725 25450987345 32722698015 45811777221 54537830025 76352962035 127254936725 163613490075 229058886105 381764810175 1145294430525