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312423344000454 = 231495633739166013
BaseRepresentation
bin100011100001001011011101…
…0011100000100110111000110
31111222012101021000110011010210
41013002112322130010313012
5311422221002031003304
63024245145225300250
7122543561466232011
oct10702267234046706
91458171230404123
10312423344000454
1190602aa5912785
122b0598a1934686
131054351985734b
145721528a50378
15261bcac788c89
hex11c25ba704dc6

312423344000454 has 64 divisors (see below), whose sum is σ = 630329923872000. Its totient is φ = 103230208701312.

The previous prime is 312423344000447. The next prime is 312423344000507. The reversal of 312423344000454 is 454000443324213.

It is a super-2 number, since 2×3124233440004542 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1881837952 + ... + 1882003964.

It is an arithmetic number, because the mean of its divisors is an integer number (9848905060500).

Almost surely, 2312423344000454 is an apocalyptic number.

312423344000454 is an abundant number, since it is smaller than the sum of its proper divisors (317906579871546).

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

312423344000454 is a wasteful number, since it uses less digits than its factorization.

312423344000454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170469.

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 312423344000454 its reverse (454000443324213), we get a palindrome (766423787324667).

The spelling of 312423344000454 in words is "three hundred twelve trillion, four hundred twenty-three billion, three hundred forty-four million, four hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 149 298 447 563 894 1126 1689 3378 3739 7478 11217 22434 83887 166013 167774 251661 332026 498039 503322 557111 996078 1114222 1671333 2105057 3342666 4210114 6315171 12630342 24735937 49471874 74207811 93465319 148415622 186930638 280395957 313653493 560791914 620722607 627306986 940960479 1241445214 1862167821 1881920958 3724335642 13926332531 27852665062 41778997593 83557995186 92487668443 184975336886 277463005329 349466827741 554926010658 698933655482 1048400483223 2096800966446 52070557333409 104141114666818 156211672000227 312423344000454