Search a number
-
+
14212310203044 = 22331922963301619
BaseRepresentation
bin1100111011010000111110…
…1100110111101010100100
31212022200110100000202012000
43032310033230313222210
53330323302402444134
650121013431325300
72664543203324262
oct316641754675244
955280410022160
1014212310203044
11458a452660608
121716535b20830
137c12a4768825
14371c45439432
15199a64e69e99
hexced0fb37aa4

14212310203044 has 96 divisors (see below), whose sum is σ = 38787849408000. Its totient is φ = 4487887630368.

The previous prime is 14212310203009. The next prime is 14212310203079. The reversal of 14212310203044 is 44030201321241.

14212310203044 is a `hidden beast` number, since 1 + 4 + 21 + 2 + 310 + 20 + 304 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14212310203009) and next prime (14212310203079).

It is a super-2 number, since 2×142123102030442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14212310202999 and 14212310203017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46969267 + ... + 47270885.

It is an arithmetic number, because the mean of its divisors is an integer number (404040098000).

Almost surely, 214212310203044 is an apocalyptic number.

It is an amenable number.

14212310203044 is an abundant number, since it is smaller than the sum of its proper divisors (24575539204956).

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

14212310203044 is a wasteful number, since it uses less digits than its factorization.

14212310203044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324614 (or 324606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14212310203044 its reverse (44030201321241), we get a palindrome (58242511524285).

The spelling of 14212310203044 in words is "fourteen trillion, two hundred twelve billion, three hundred ten million, two hundred three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 22963 45926 68889 91852 137778 206667 275556 301619 413334 436297 603238 620001 826668 872594 904857 1206476 1240002 1308891 1745188 1809714 2480004 2617782 2714571 3619428 3926673 5235564 5429142 5730761 7853346 8143713 10858284 11461522 11780019 15706692 16287426 17192283 22923044 23560038 32574852 34384566 47120076 51576849 68769132 103153698 154730547 206307396 309461094 618922188 6926077097 13852154194 20778231291 27704308388 41556462582 62334693873 83112925164 124669387746 131595464843 187004081619 249338775492 263190929686 374008163238 394786394529 526381859372 748016326476 789572789058 1184359183587 1579145578116 2368718367174 3553077550761 4737436734348 7106155101522 14212310203044