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54214041245 = 57213591032801
BaseRepresentation
bin110010011111011010…
…001001111010011101
312011221021021122110112
4302133122021322131
51342012243304440
640523335015405
73626321514200
oct623732117235
9164837248415
1054214041245
1120aa045a671
12a61020a565
13515cb23860
1428a427d937
1516247e9965
hexc9f689e9d

54214041245 has 96 divisors (see below), whose sum is σ = 83715690240. Its totient is φ = 33394636800.

The previous prime is 54214041241. The next prime is 54214041269.

54214041245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54214041245 - 22 = 54214041241 is a prime.

It is a super-2 number, since 2×542140412452 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54214041241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19353845 + ... + 19356645.

It is an arithmetic number, because the mean of its divisors is an integer number (872038440).

Almost surely, 254214041245 is an apocalyptic number.

It is an amenable number.

54214041245 is a deficient number, since it is larger than the sum of its proper divisors (29501648995).

54214041245 is a wasteful number, since it uses less digits than its factorization.

54214041245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

It can be divided in two parts, 542140 and 41245, that added together give a palindrome (583385).

The spelling of 54214041245 in words is "fifty-four billion, two hundred fourteen million, forty-one thousand, two hundred forty-five".

Divisors: 1 5 7 13 35 49 59 65 91 103 245 295 413 455 515 637 721 767 1339 2065 2801 2891 3185 3605 3835 5047 5369 6077 6695 9373 14005 14455 19607 25235 26845 30385 36413 37583 42539 46865 65611 79001 98035 137249 165259 182065 187915 212695 254891 288503 297773 328055 395005 553007 686245 826295 1156813 1274455 1442515 1488865 1784237 2019521 2148367 2765035 3750539 3871049 5784065 8097691 8921185 10097605 10741835 14136647 15038569 17021677 18752695 19355245 26253773 40488455 70683235 75192845 85108385 105269983 119151739 131268865 183776411 221281801 526349915 595758695 834062173 918882055 1106409005 1548972607 4170310865 7744863035 10842808249 54214041245