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214002411040 = 25511177152487
BaseRepresentation
bin1100011101001110001…
…0011010011000100000
3202110101012021212101201
43013103202122120200
512001234104123130
6242151130210544
721314115323545
oct3072342323040
9673335255351
10214002411040
1182837866930
1235584b83a54
13172462935b2
14a501a24bcc
1558778d1bca
hex31d389a620

214002411040 has 96 divisors (see below), whose sum is σ = 583986340224. Its totient is φ = 73241456640.

The previous prime is 214002411013. The next prime is 214002411043. The reversal of 214002411040 is 40114200412.

It is a super-2 number, since 2×2140024110402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214002410999 and 214002411017.

It is not an unprimeable number, because it can be changed into a prime (214002411043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546324 + ... + 3606163.

It is an arithmetic number, because the mean of its divisors is an integer number (6083191044).

Almost surely, 2214002411040 is an apocalyptic number.

214002411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002411040 is an abundant number, since it is smaller than the sum of its proper divisors (369983929184).

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

214002411040 is a wasteful number, since it uses less digits than its factorization.

214002411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152530 (or 7152522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 214002411040 its reverse (40114200412), we get a palindrome (254116611452).

The spelling of 214002411040 in words is "two hundred fourteen billion, two million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 7152487 14304974 28609948 35762435 57219896 71524870 78677357 114439792 121592279 143049740 157354714 228879584 243184558 286099480 314709428 393386785 486369116 572198960 607961395 629418856 786773570 972738232 1144397920 1215922790 1258837712 1337515069 1573547140 1945476464 2431845580 2517675424 2675030138 3147094280 3890952928 4863691160 5350060276 6294188560 6687575345 9727382320 10700120552 12588377120 13375150690 19454764640 21400241104 26750301380 42800482208 53500602760 107001205520 214002411040