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444102131039 = 71712451299731
BaseRepresentation
bin1100111011001101000…
…11001011110101011111
31120110022020111202101112
412131212203023311133
524234010121143124
6540003453532235
744041156554350
oct6354643136537
91513266452345
10444102131039
11161385091186
12720a0aa407b
1332b56520a78
14176cd4abd27
15b8435cb90e
hex67668cbd5f

444102131039 has 16 divisors (see below), whose sum is σ = 537445852416. Its totient is φ = 358237296000.

The previous prime is 444102131029. The next prime is 444102131069. The reversal of 444102131039 is 930131201444.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444102131039 is a prime.

It is a super-2 number, since 2×4441021310392 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444102130996 and 444102131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444102131029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1331804 + ... + 1631534.

It is an arithmetic number, because the mean of its divisors is an integer number (33590365776).

Almost surely, 2444102131039 is an apocalyptic number.

444102131039 is a deficient number, since it is larger than the sum of its proper divisors (93343721377).

444102131039 is a wasteful number, since it uses less digits than its factorization.

444102131039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312206.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 444102131039 in words is "four hundred forty-four billion, one hundred two million, one hundred thirty-one thousand, thirty-nine".

Divisors: 1 7 17 119 12451 87157 211667 299731 1481669 2098117 5095427 35667989 3731950681 26123654767 63443161577 444102131039