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23364041140 = 225111013732819
BaseRepresentation
bin10101110000100110…
…101111100110110100
32020022021120021011001
4111300212233212310
5340322143304030
614422220253044
71454661034006
oct256046574664
966267507131
1023364041140
1199aa434a10
1246406a1184
13228462041b
1411b8db2376
1591b26dcca
hex5709af9b4

23364041140 has 96 divisors (see below), whose sum is σ = 54218989440. Its totient is φ = 8386368000.

The previous prime is 23364041131. The next prime is 23364041149. The reversal of 23364041140 is 4114046332.

It is an interprime number because it is at equal distance from previous prime (23364041131) and next prime (23364041149).

It is a super-2 number, since 2×233640411402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23364041099 and 23364041108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23364041149) 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 31 ways as a sum of consecutive naturals, for example, 8286651 + ... + 8289469.

It is an arithmetic number, because the mean of its divisors is an integer number (564781140).

Almost surely, 223364041140 is an apocalyptic number.

23364041140 is a gapful number since it is divisible by the number (20) 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 23364041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27109494720).

23364041140 is an abundant number, since it is smaller than the sum of its proper divisors (30854948300).

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

23364041140 is a wasteful number, since it uses less digits than its factorization.

23364041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 23364041140 its reverse (4114046332), we get a palindrome (27478087472).

The spelling of 23364041140 in words is "twenty-three billion, three hundred sixty-four million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 373 404 505 746 1010 1111 1492 1865 2020 2222 2819 3730 4103 4444 5555 5638 7460 8206 11110 11276 14095 16412 20515 22220 28190 31009 37673 41030 56380 62018 75346 82060 124036 150692 155045 188365 284719 310090 376730 414403 569438 620180 753460 828806 1051487 1138876 1423595 1657612 2072015 2102974 2847190 3131909 4144030 4205948 5257435 5694380 6263818 8288060 10514870 11566357 12527636 15659545 21029740 23132714 31319090 46265428 57831785 62638180 106200187 115663570 212400374 231327140 424800748 531000935 1062001870 1168202057 2124003740 2336404114 4672808228 5841010285 11682020570 23364041140