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41223541248 = 29349972
BaseRepresentation
bin100110011001000111…
…010101001000000000
310221101221100212120000
4212121013111020000
51133411211304443
630534323320000
72656362214311
oct463107251000
9127357325500
1041223541248
111653468375a
127ba5820000
133b6c6c9c76
141dd0ca8608
1511141228d3
hex9991d5200

41223541248 has 150 divisors (see below), whose sum is σ = 123164951481. Its totient is φ = 13727397888.

The previous prime is 41223541211. The next prime is 41223541253. The reversal of 41223541248 is 84214532214.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41223541248 is a `hidden beast` number, since 4 + 1 + 2 + 235 + 412 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34882285824 + 6341255424 = 186768^2 + 79632^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=143568.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 41347086 + ... + 41348082.

Almost surely, 241223541248 is an apocalyptic number.

41223541248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41223541248

41223541248 is an abundant number, since it is smaller than the sum of its proper divisors (81941410233).

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

41223541248 is an frugal number, since it uses more digits than its factorization.

41223541248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 1002 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 41223541248 in words is "forty-one billion, two hundred twenty-three million, five hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 997 1152 1296 1536 1728 1994 2304 2592 2991 3456 3988 4608 5184 5982 6912 7976 8973 10368 11964 13824 15952 17946 20736 23928 26919 31904 35892 41472 47856 53838 63808 71784 80757 95712 107676 127616 143568 161514 191424 215352 255232 287136 323028 382848 430704 510464 574272 646056 765696 861408 994009 1148544 1292112 1531392 1722816 1988018 2297088 2584224 2982027 3445632 3976036 4594176 5168448 5964054 6891264 7952072 8946081 10336896 11928108 13782528 15904144 17892162 20673792 23856216 26838243 31808288 35784324 41347584 47712432 53676486 63616576 71568648 80514729 95424864 107352972 127233152 143137296 161029458 190849728 214705944 254466304 286274592 322058916 381699456 429411888 508932608 572549184 644117832 763398912 858823776 1145098368 1288235664 1526797824 1717647552 2290196736 2576471328 3435295104 4580393472 5152942656 6870590208 10305885312 13741180416 20611770624 41223541248