Search a number
-
+
34416616012454 = 213171514677611451
BaseRepresentation
bin1111101001101001111100…
…01010111111101010100110
311111212012022010220201102202
413310310332022333222212
514002340212144344304
6201110435232134502
710151342554153334
oct764647612775246
9144765263821382
1034416616012454
11aa6a006555115
123a3a207097432
13162861c143240
1486dab7574b54
153ea3c62a581e
hex1f4d3e2bfaa6

34416616012454 has 128 divisors (see below), whose sum is σ = 59502172713984. Its totient is φ = 14789721600000.

The previous prime is 34416616012423. The next prime is 34416616012507. The reversal of 34416616012454 is 45421061661443.

It is a junction number, because it is equal to n+sod(n) for n = 34416616012399 and 34416616012408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23719238429 + ... + 23719239879.

It is an arithmetic number, because the mean of its divisors is an integer number (464860724328).

Almost surely, 234416616012454 is an apocalyptic number.

34416616012454 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34416616012454 is a deficient number, since it is larger than the sum of its proper divisors (25085556701530).

34416616012454 is a wasteful number, since it uses less digits than its factorization.

34416616012454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862.

The product of its (nonzero) digits is 1658880, while the sum is 47.

Adding to 34416616012454 its reverse (45421061661443), we get a palindrome (79837677673897).

The spelling of 34416616012454 in words is "thirty-four trillion, four hundred sixteen billion, six hundred sixteen million, twelve thousand, four hundred fifty-four".

Divisors: 1 2 13 17 26 34 151 221 302 442 467 761 934 1451 1522 1963 2567 2902 3926 5134 6071 7939 9893 12142 12937 15878 18863 19786 24667 25874 33371 37726 49334 66742 70517 103207 114911 141034 168181 206414 219101 229822 320671 336362 355387 438202 641342 677617 710774 916721 1104211 1198789 1355234 1493843 1833442 1953487 2208422 2397578 2848313 2987686 3724717 3906974 4620031 5696626 6041579 7449434 8809021 9240062 11519489 12083158 14354743 15584257 17618042 18771587 23038978 25395331 28709486 31168514 37543174 48421321 50790662 53663437 78540527 96842642 102320167 107326874 149753357 157081054 166735861 204640334 244030631 299506714 333471722 488061262 515666537 697624681 912278429 1031333074 1330162171 1395249362 1739442839 1824556858 2167566193 2660324342 2834509637 3478885678 4335132386 5669019274 6703664981 8766331129 11859619577 13407329962 17532662258 22612756907 23719239154 36848625281 45225513814 73697250562 77865647087 113962304677 155731294174 227924609354 1012253412131 1323716000479 2024506824262 2647432000958 17208308006227 34416616012454