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41201401120 = 2551123409887
BaseRepresentation
bin100110010111110010…
…110111110100100000
310221100101201001000021
4212113302313310200
51133340024313440
630532213003224
72656003062655
oct462762676440
9127311631007
1041201401120
1116523131530
127b9a323514
133b67c476b9
141dcbd83c2c
1511121ec84a
hex997cb7d20

41201401120 has 48 divisors (see below), whose sum is σ = 106187251968. Its totient is φ = 14982327040.

The previous prime is 41201401081. The next prime is 41201401121. The reversal of 41201401120 is 2110410214.

It is a happy number.

It is a super-2 number, since 2×412014011202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41201401094 and 41201401103.

It is not an unprimeable number, because it can be changed into a prime (41201401121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11703184 + ... + 11706703.

It is an arithmetic number, because the mean of its divisors is an integer number (2212234416).

Almost surely, 241201401120 is an apocalyptic number.

41201401120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41201401120 is an abundant number, since it is smaller than the sum of its proper divisors (64985850848).

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

41201401120 is a wasteful number, since it uses less digits than its factorization.

41201401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23409913 (or 23409905 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 41201401120 its reverse (2110410214), we get a palindrome (43311811334).

The spelling of 41201401120 in words is "forty-one billion, two hundred one million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 23409887 46819774 93639548 117049435 187279096 234098870 257508757 374558192 468197740 515017514 749116384 936395480 1030035028 1287543785 1872790960 2060070056 2575087570 3745581920 4120140112 5150175140 8240280224 10300350280 20600700560 41201401120