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445342212744 = 2331113255150867
BaseRepresentation
bin1100111101100000111…
…01101110001010001000
31120120111122221102200120
412132300131232022020
524244030101301434
6540330513103240
744113665231042
oct6366035561210
91516448842616
10445342212744
111619610839a0
1272388257b20
1332cc340a020
14177aa072a92
15b8b73d3349
hex67b076e288

445342212744 has 128 divisors (see below), whose sum is σ = 1308536570880. Its totient is φ = 124519968000.

The previous prime is 445342212697. The next prime is 445342212871. The reversal of 445342212744 is 447212243544.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 445342212696 and 445342212705.

It is an unprimeable number.

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, 8729599 + ... + 8780465.

It is an arithmetic number, because the mean of its divisors is an integer number (10222941960).

Almost surely, 2445342212744 is an apocalyptic number.

445342212744 is a gapful number since it is divisible by the number (44) 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 445342212744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654268285440).

445342212744 is an abundant number, since it is smaller than the sum of its proper divisors (863194358136).

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

445342212744 is a wasteful number, since it uses less digits than its factorization.

445342212744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53451 (or 53447 counting only the distinct ones).

The product of its digits is 860160, while the sum is 42.

The spelling of 445342212744 in words is "four hundred forty-five billion, three hundred forty-two million, two hundred twelve thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 2551 3432 5102 7653 10204 15306 20408 28061 30612 33163 50867 56122 61224 66326 84183 99489 101734 112244 132652 152601 168366 198978 203468 224488 265304 305202 336732 364793 397956 406936 559537 610404 661271 673464 729586 795912 1094379 1119074 1220808 1322542 1459172 1678611 1983813 2188758 2238148 2645084 2918344 3357222 3967626 4377516 4476296 5290168 6714444 7273981 7935252 8755032 13428888 14547962 15870504 21821943 29095924 43643886 58191848 87287772 129761717 174575544 259523434 389285151 519046868 778570302 1038093736 1427378887 1557140604 1686902321 2854757774 3114281208 3373804642 4282136661 5060706963 5709515548 6747609284 8564273322 10121413926 11419031096 13495218568 17128546644 18555925531 20242827852 34257093288 37111851062 40485655704 55667776593 74223702124 111335553186 148447404248 222671106372 445342212744