Search a number
-
+
1041125253345 = 3252947100916823
BaseRepresentation
bin11110010011001111110…
…01101010000011100001
310200112022210211202101100
433021213321222003201
5114024211031101340
62114141503225013
7135135024431562
oct17114771520341
93615283752340
101041125253345
113715a2077481
1214993a8a8169
1377240501388
1438568248169
151c136e21830
hexf267e6a0e1

1041125253345 has 96 divisors (see below), whose sum is σ = 1908568396800. Its totient is φ = 524161677312.

The previous prime is 1041125253331. The next prime is 1041125253367. The reversal of 1041125253345 is 5433525211401.

1041125253345 is a `hidden beast` number, since 1 + 0 + 4 + 11 + 252 + 53 + 345 = 666.

It is not a de Polignac number, because 1041125253345 - 221 = 1041123156193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61878604 + ... + 61895426.

It is an arithmetic number, because the mean of its divisors is an integer number (19880920800).

Almost surely, 21041125253345 is an apocalyptic number.

1041125253345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1041125253345 is a deficient number, since it is larger than the sum of its proper divisors (867443143455).

1041125253345 is a wasteful number, since it uses less digits than its factorization.

1041125253345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17919 (or 17916 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 1041125253345 in words is "one trillion, forty-one billion, one hundred twenty-five million, two hundred fifty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 29 45 47 87 141 145 235 261 423 435 705 1009 1305 1363 2115 3027 4089 5045 6815 9081 12267 15135 16823 20445 29261 45405 47423 50469 61335 84115 87783 142269 146305 151407 237115 252345 263349 426807 438915 487867 711345 757035 790681 1316745 1375267 1463601 2134035 2372043 2439335 3953405 4125801 4390803 6876335 7116129 7318005 11860215 12377403 16974407 20629005 21954015 22929749 35580645 50923221 61887015 68789247 84872035 114648745 152769663 206367741 254616105 343946235 492257803 763848315 797797129 1031838705 1476773409 2393391387 2461289015 3988985645 4430320227 7180174161 7383867045 11966956935 22151601135 23136116741 35900870805 69408350223 115680583705 208225050669 347041751115 1041125253345