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55226400141 = 3111719431011193
BaseRepresentation
bin110011011011101111…
…111111110110001101
312021112211012210210110
4303123233333312031
51401100424301031
641212021230233
73663363440643
oct633357776615
9167484183713
1055226400141
112146a954910
12a853262379
13529179a1a3
14295c8c7193
15168361cc46
hexcdbbffd8d

55226400141 has 128 divisors (see below), whose sum is σ = 92597852160. Its totient is φ = 28836864000.

The previous prime is 55226400121. The next prime is 55226400157. The reversal of 55226400141 is 14100462255.

It is not a de Polignac number, because 55226400141 - 29 = 55226399629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 55226400099 and 55226400108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55226400121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46291441 + ... + 46292633.

It is an arithmetic number, because the mean of its divisors is an integer number (723420720).

Almost surely, 255226400141 is an apocalyptic number.

55226400141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

55226400141 is a deficient number, since it is larger than the sum of its proper divisors (37371452019).

55226400141 is a wasteful number, since it uses less digits than its factorization.

55226400141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 55226400141 its reverse (14100462255), we get a palindrome (69326862396).

The spelling of 55226400141 in words is "fifty-five billion, two hundred twenty-six million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 11 17 19 33 43 51 57 101 129 187 209 303 323 473 561 627 731 817 969 1111 1193 1419 1717 1919 2193 2451 3333 3553 3579 4343 5151 5757 8041 8987 10659 13029 13123 13889 18887 20281 21109 22667 24123 26961 32623 39369 41667 47773 51299 56661 60843 63327 68001 73831 82517 97869 120493 143319 152779 153897 221493 223091 247551 249337 358853 361479 385339 458337 564289 669273 748011 812141 872083 907687 974681 1076559 1156017 1325423 1402789 1692867 2048381 2289367 2436423 2616249 2723061 2924043 3976269 4208367 4238729 5181199 6145143 6868101 9592913 10721491 12716187 15430679 15543597 16569577 22532191 25183037 28778739 32164473 38919239 46292037 49708731 56993189 67596573 75549111 88080383 98442781 116757717 170979567 182265347 264241149 295328343 428111629 546796041 968884213 1082870591 1284334887 1673527277 2906652639 3248611773 5020581831 18408800047 55226400141