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1341416045385 = 3351331107230431
BaseRepresentation
bin10011100001010010101…
…000000111101101001001
311202020102120221112211000
4103201102220013231021
5133434210001423020
62504123225125213
7165625353153363
oct23412250075511
94666376845730
101341416045385
11477989429079
12197b85629809
1399658655880
1448cd3c43d33
1524d5edc1090
hex13852a07b49

1341416045385 has 128 divisors (see below), whose sum is σ = 2675813253120. Its totient is φ = 633111033600.

The previous prime is 1341416045377. The next prime is 1341416045429. The reversal of 1341416045385 is 5835406141431.

It is a happy number.

1341416045385 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 1 + 604 + 5 + 38 + 5 = 666.

It is not a de Polignac number, because 1341416045385 - 23 = 1341416045377 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 1341416045385.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5706120 + ... + 5936550.

It is an arithmetic number, because the mean of its divisors is an integer number (20904791040).

Almost surely, 21341416045385 is an apocalyptic number.

1341416045385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1341416045385 is a deficient number, since it is larger than the sum of its proper divisors (1334397207735).

1341416045385 is a wasteful number, since it uses less digits than its factorization.

1341416045385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230596 (or 230590 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1341416045385 in words is "one trillion, three hundred forty-one billion, four hundred sixteen million, forty-five thousand, three hundred eighty-five".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 93 107 117 135 155 195 279 321 351 403 465 535 585 837 963 1209 1391 1395 1605 1755 2015 2889 3317 3627 4173 4185 4815 6045 6955 9951 10881 12519 14445 16585 18135 20865 29853 37557 43121 49755 54405 62595 89559 129363 149265 187785 215605 230431 388089 447795 646815 691293 1152155 1164267 1940445 2073879 2995603 3456465 5821335 6221637 7143361 8986809 10369395 14978015 21430083 24656117 26960427 31108185 35716805 44934045 64290249 73968351 80881281 92863693 107150415 123280585 134802135 192870747 221905053 278591079 320529521 321451245 369841755 404406405 464318465 665715159 764339627 835773237 961588563 964353735 1109525265 1392955395 1602647605 2293018881 2507319711 2884765689 3328575795 3821698135 4178866185 4807942815 6879056643 8654297067 9936415151 11465094405 12536598555 14423828445 20637169929 29809245453 34395283215 43271485335 49682075755 89427736359 103185849645 149046227265 268283209077 447138681795 1341416045385