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41014121304144 = 24317192645389661
BaseRepresentation
bin10010101001101010110000…
…01000011001000001010000
312101012220121122002000101010
421110311120020121001100
520333433410023213034
6223121343251210520
711432113105643502
oct1124653010310120
9171186548060333
1041014121304144
1112082a9a27085a
12472498a2a6a40
1319b67cc334871
14a1b146173d72
154b1d110783e9
hex254d58219050

41014121304144 has 80 divisors (see below), whose sum is σ = 118090194511680. Its totient is φ = 12189955553280.

The previous prime is 41014121304089. The next prime is 41014121304151. The reversal of 41014121304144 is 44140312141014.

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, 1322679327 + ... + 1322710334.

It is an arithmetic number, because the mean of its divisors is an integer number (1476127431396).

Almost surely, 241014121304144 is an apocalyptic number.

It is an amenable number.

41014121304144 is an abundant number, since it is smaller than the sum of its proper divisors (77076073207536).

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

41014121304144 is a wasteful number, since it uses less digits than its factorization.

41014121304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645389708 (or 2645389702 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 41014121304144 its reverse (44140312141014), we get a palindrome (85154433445158).

The spelling of 41014121304144 in words is "forty-one trillion, fourteen billion, one hundred twenty-one million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 2645389661 5290779322 7936168983 10581558644 15872337966 21163117288 31744675932 42326234576 44971624237 50262403559 63489351864 89943248474 100524807118 126978703728 134914872711 150787210677 179886496948 201049614236 269829745422 301574421354 359772993896 402099228472 539659490844 603148842708 719545987792 804198456944 854460860503 1079318981688 1206297685416 1708921721006 2158637963376 2412595370832 2563382581509 3417843442012 5126765163018 6835686884024 10253530326036 13671373768048 20507060652072 41014121304144