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345524512401425 = 527263337152314627
BaseRepresentation
bin100111010010000001011000…
…1110100101010100000010001
31200022101211011100121110010202
41032210002301310222200101
5330242033200133321200
63222511434130104545
7132531215344253540
oct11644026164524021
91608354140543122
10345524512401425
11a0105139499545
1232904b7011b155
1311aa4a8b3b5636
1461476931ba157
1529e2d438891d5
hex13a40b1d2a811

345524512401425 has 96 divisors (see below), whose sum is σ = 493335339374592. Its totient is φ = 235159233684480.

The previous prime is 345524512401379. The next prime is 345524512401449. The reversal of 345524512401425 is 524104215425543.

It is not a de Polignac number, because 345524512401425 - 218 = 345524512139281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 345524512401425.

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 95 ways as a sum of consecutive naturals, for example, 23622369962 + ... + 23622384588.

It is an arithmetic number, because the mean of its divisors is an integer number (5138909785152).

Almost surely, 2345524512401425 is an apocalyptic number.

345524512401425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345524512401425 is a deficient number, since it is larger than the sum of its proper divisors (147810826973167).

345524512401425 is a wasteful number, since it uses less digits than its factorization.

345524512401425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 47.

Adding to 345524512401425 its reverse (524104215425543), we get a palindrome (869628727826968).

The spelling of 345524512401425 in words is "three hundred forty-five trillion, five hundred twenty-four billion, five hundred twelve million, four hundred one thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 175 263 337 1315 1523 1685 1841 2359 6575 7615 8425 9205 10661 11795 14627 38075 46025 53305 58975 73135 88631 102389 266525 365675 400549 443155 511945 513251 620417 2002745 2215775 2559725 2566255 2803843 3102085 3592757 3846901 4929299 10013725 12831275 14019215 15510425 17963785 19234505 22276921 24646495 26928307 34505093 70096075 89818925 96172525 111384605 123232475 134641535 134985013 155938447 172525465 556923025 673207675 674925065 779692235 862627325 944895091 1296405637 3374625325 3898461175 4724475455 5858830223 6482028185 7507322377 9074839459 23622377275 29294151115 32410140925 37536611885 41011811561 45374197295 52551256639 146470755575 187683059425 205059057805 226870986475 262756283195 1025295289025 1313781415975 1974425785151 9872128925755 13820980496057 49360644628775 69104902480285 345524512401425