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140531483601135 = 33511971091894233
BaseRepresentation
bin11111111101000000001001…
…001010001110100011101111
3200102120200022201101220101000
4133331000021022032203233
5121404431434300214020
61214515134453051343
741413031112252144
oct3775001112164357
9612520281356330
10140531483601135
1140861081932210
1213917b39626b53
1360550a63c3553
14269ba8d9d03cb
15113a82e104090
hex7fd00928e8ef

140531483601135 has 128 divisors (see below), whose sum is σ = 275608355742720. Its totient is φ = 67372154265600.

The previous prime is 140531483601127. The next prime is 140531483601151. The reversal of 140531483601135 is 531106384135041.

140531483601135 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 1 + 4 + 8 + 3 + 601 + 1 + 35 = 666.

It is not a de Polignac number, because 140531483601135 - 23 = 140531483601127 is a prime.

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

It is a congruent number.

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, 156705979 + ... + 157600211.

It is an arithmetic number, because the mean of its divisors is an integer number (2153190279240).

Almost surely, 2140531483601135 is an apocalyptic number.

140531483601135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

140531483601135 is a deficient number, since it is larger than the sum of its proper divisors (135076872141585).

140531483601135 is a wasteful number, since it uses less digits than its factorization.

140531483601135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895446 (or 895440 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 140531483601135 in words is "one hundred forty trillion, five hundred thirty-one billion, four hundred eighty-three million, six hundred one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 97 99 135 165 291 297 485 495 873 1067 1091 1455 1485 2619 3201 3273 4365 5335 5455 9603 9819 12001 13095 16005 16365 28809 29457 36003 48015 49095 60005 105827 108009 144045 147285 180015 317481 324027 529135 540045 894233 952443 1164097 1587405 1620135 2682699 2857329 3492291 4471165 4762215 5820485 8048097 9836563 10476873 13413495 14286645 17461455 24144291 29509689 31430619 40240485 49182815 52384365 86740601 88529067 120721455 147548445 157153095 260221803 265587201 433703005 442645335 780665409 954146611 975608203 1301109015 1327936005 2341996227 2862439833 2926824609 3903327045 4770733055 4878041015 8587319499 8780473827 10731690233 11709981135 14312199165 14634123045 25761958497 26341421481 32195070699 42936597495 43902369135 53658451165 94633995691 96585212097 128809792485 131707107405 160975353495 283901987073 289755636291 473169978455 482926060485 851705961219 1040973952601 1419509935365 1448778181455 2555117883657 3122921857803 4258529806095 5204869763005 9368765573409 12775589418285 15614609289015 28106296720227 46843827867045 140531483601135