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23444142399 = 32103137367503
BaseRepresentation
bin10101110101011000…
…010011100100111111
32020111212021211102100
4111311120103210333
5341003200024044
614434201200143
71456652631246
oct256530234477
966455254370
1023444142399
119a406751a7
124663490053
1322980b7912
1411c58a395d
159232e2869
hex57561393f

23444142399 has 48 divisors (see below), whose sum is σ = 34604623872. Its totient is φ = 15292381824.

The previous prime is 23444142331. The next prime is 23444142467. The reversal of 23444142399 is 99324144432.

It is an interprime number because it is at equal distance from previous prime (23444142331) and next prime (23444142467).

It is not a de Polignac number, because 23444142399 - 28 = 23444142143 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444142299) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46608382 + ... + 46608884.

It is an arithmetic number, because the mean of its divisors is an integer number (720929664).

Almost surely, 223444142399 is an apocalyptic number.

23444142399 is a deficient number, since it is larger than the sum of its proper divisors (11160481473).

23444142399 is a wasteful number, since it uses less digits than its factorization.

23444142399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1113 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 23444142399 in words is "twenty-three billion, four hundred forty-four million, one hundred forty-two thousand, three hundred ninety-nine".

Divisors: 1 3 9 103 137 309 367 411 503 927 1101 1233 1509 3303 4527 14111 37801 42333 50279 51809 68911 113403 126999 150837 155427 184601 206733 340209 452511 466281 553803 620199 1661409 5178737 7097833 15536211 19013903 21293499 25290337 46608633 57041709 63880497 75871011 171125127 227613033 2604904711 7814714133 23444142399