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431275144377253 = 113710319765379973
BaseRepresentation
bin110001000001111100001000…
…1110001111111001110100101
32002120000111112100001212101211
41202003320101301333032211
5423012002443430033003
64125125022143351421
7156561413056602631
oct14203702161771645
92076014470055354
10431275144377253
11115465841754660
12404540192b2571
13156850c142b747
14786db85059dc1
1534cd6c9b7896d
hex1883e11c7f3a5

431275144377253 has 64 divisors (see below), whose sum is σ = 491122621896192. Its totient is φ = 375270388577280.

The previous prime is 431275144377211. The next prime is 431275144377257. The reversal of 431275144377253 is 352773441572134.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431275144377253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431275144377257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5392719375 + ... + 5392799347.

It is an arithmetic number, because the mean of its divisors is an integer number (7673790967128).

Almost surely, 2431275144377253 is an apocalyptic number.

It is an amenable number.

431275144377253 is a deficient number, since it is larger than the sum of its proper divisors (59847477518939).

431275144377253 is a wasteful number, since it uses less digits than its factorization.

431275144377253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80974.

The product of its digits is 59270400, while the sum is 58.

The spelling of 431275144377253 in words is "four hundred thirty-one trillion, two hundred seventy-five billion, one hundred forty-four million, three hundred seventy-seven thousand, two hundred fifty-three".

Divisors: 1 11 37 103 197 407 653 1133 2167 3811 7183 7289 20291 24161 41921 67259 79973 80179 128641 223201 265771 739849 750767 879703 1415051 2488583 2959001 4759717 8237219 8258437 13250023 15754681 27374413 32549011 52222369 52356887 90609409 145750253 173301491 304777103 490250851 574446059 582923197 1622732143 1932227653 3352548133 5378904007 5392759361 6412155167 10287806693 17850053573 21254504183 59167944077 60041089291 113165873623 199019448259 380648847641 660451982201 1059644089379 2189213930849 4187137324051 11656084983169 39206831307023 431275144377253