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14202437006475 = 355222310483631
BaseRepresentation
bin1100111010101100001100…
…1101100111010010001011
31212021201222020212101200000
43032223003031213102023
53330143042333201400
650112302014414043
72664043425460524
oct316530315472213
955251866771600
1014202437006475
114586246484923
12171463b501323
137c0390117b93
1437158a08384b
151996882a8600
hexceac336748b

14202437006475 has 72 divisors (see below), whose sum is σ = 26498595981312. Its totient is φ = 7540665386400.

The previous prime is 14202437006441. The next prime is 14202437006551. The reversal of 14202437006475 is 57460073420241.

14202437006475 is a `hidden beast` number, since 1 + 4 + 202 + 4 + 370 + 0 + 6 + 4 + 75 = 666.

It is not a de Polignac number, because 14202437006475 - 215 = 14202436973707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14202437006475.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3887091 + ... + 6596540.

It is an arithmetic number, because the mean of its divisors is an integer number (368036055296).

Almost surely, 214202437006475 is an apocalyptic number.

14202437006475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14202437006475 is a deficient number, since it is larger than the sum of its proper divisors (12296158974837).

14202437006475 is a wasteful number, since it uses less digits than its factorization.

14202437006475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483879 (or 10483862 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 14202437006475 in words is "fourteen trillion, two hundred two billion, four hundred thirty-seven million, six thousand, four hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 223 225 243 405 669 675 1115 1215 2007 2025 3345 5575 6021 6075 10035 16725 18063 30105 50175 54189 90315 150525 270945 451575 1354725 10483631 31450893 52418155 94352679 157254465 262090775 283058037 471763395 786272325 849174111 1415290185 2337849713 2358816975 2547522333 4245870555 7013549139 7076450925 11689248565 12737611665 21040647417 21229352775 35067745695 58446242825 63121942251 63688058325 105203237085 175338728475 189365826753 315609711255 526016185425 568097480259 946829133765 1578048556275 2840487401295 4734145668825 14202437006475