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145034104560 = 24352692246501
BaseRepresentation
bin1000011100010010110…
…1001100111011110000
3111212100200020212222020
42013010231030323300
54334012212321220
6150343332111440
713323036355662
oct2070455147360
9455320225866
10145034104560
1156565a75434
1224137765580
13108a4801ba7
14703c04a532
153b8cb63040
hex21c4b4cef0

145034104560 has 80 divisors (see below), whose sum is σ = 451277321760. Its totient is φ = 38531968000.

The previous prime is 145034104519. The next prime is 145034104577. The reversal of 145034104560 is 65401430541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058691 + ... + 1187810.

It is an arithmetic number, because the mean of its divisors is an integer number (5640966522).

Almost surely, 2145034104560 is an apocalyptic number.

145034104560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145034104560 is an abundant number, since it is smaller than the sum of its proper divisors (306243217200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145034104560 is a wasteful number, since it uses less digits than its factorization.

145034104560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246786 (or 2246780 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 145034104560 in words is "one hundred forty-five billion, thirty-four million, one hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10760 12912 16140 21520 32280 64560 2246501 4493002 6739503 8986004 11232505 13479006 17972008 22465010 26958012 33697515 35944016 44930020 53916024 67395030 89860040 107832048 134790060 179720080 269580120 539160240 604308769 1208617538 1812926307 2417235076 3021543845 3625852614 4834470152 6043087690 7251705228 9064631535 9668940304 12086175380 14503410456 18129263070 24172350760 29006820912 36258526140 48344701520 72517052280 145034104560