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434044074035 = 5111317154923053
BaseRepresentation
bin1100101000011110000…
…10101111100000110011
31112111100021111112000202
412110033002233200303
524102410240332120
6531221434505415
743234005520115
oct6241702574063
91474307445022
10434044074035
11158093623080
127015459526b
1331c127b6b50
14170177553b5
15b4555a1875
hex650f0af833

434044074035 has 64 divisors (see below), whose sum is σ = 648352252800. Its totient is φ = 274056929280.

The previous prime is 434044073963. The next prime is 434044074047. The reversal of 434044074035 is 530470440434.

It is not a de Polignac number, because 434044074035 - 222 = 434039879731 is a prime.

It is a super-2 number, since 2×4340440740352 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434044074035.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18816569 + ... + 18839621.

It is an arithmetic number, because the mean of its divisors is an integer number (10130503950).

Almost surely, 2434044074035 is an apocalyptic number.

434044074035 is a deficient number, since it is larger than the sum of its proper divisors (214308178765).

434044074035 is a wasteful number, since it uses less digits than its factorization.

434044074035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24648.

The product of its (nonzero) digits is 322560, while the sum is 38.

The spelling of 434044074035 in words is "four hundred thirty-four billion, forty-four million, seventy-four thousand, thirty-five".

Divisors: 1 5 11 13 17 55 65 85 143 187 221 715 935 1105 1549 2431 7745 12155 17039 20137 23053 26333 85195 100685 115265 131665 221507 253583 289663 299689 342329 391901 1107535 1267915 1448315 1498445 1711645 1959505 3296579 3765619 4310911 5094713 16482895 18828095 21554555 25473565 35709097 56041843 178545485 280209215 392800067 464218261 607054649 1964000335 2321091305 3035273245 5106400871 6677601139 7891710437 25532004355 33388005695 39458552185 86808814807 434044074035