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444720476177814 = 234328330719840043
BaseRepresentation
bin110010100011110001000111…
…0000000011100010110010110
32011022121212021121220211112110
41211013202032000130112112
5431242300013400142224
64213501433310131450
7162446664656331234
oct14507421600342626
92138555247824473
10444720476177814
11119779992a66431
1241a659837b0b86
131611bc652b9805
147bb682b9a3954
153663300838929
hex194788e01c596

444720476177814 has 64 divisors (see below), whose sum is σ = 916316717589504. Its totient is φ = 143811099958176.

The previous prime is 444720476177777. The next prime is 444720476177819. The reversal of 444720476177814 is 418771674027444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444720476177819) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12495277 + ... + 32335319.

It is an arithmetic number, because the mean of its divisors is an integer number (14317448712336).

Almost surely, 2444720476177814 is an apocalyptic number.

444720476177814 is an abundant number, since it is smaller than the sum of its proper divisors (471596241411690).

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

444720476177814 is a wasteful number, since it uses less digits than its factorization.

444720476177814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840681.

The product of its (nonzero) digits is 236027904, while the sum is 66.

The spelling of 444720476177814 in words is "four hundred forty-four trillion, seven hundred twenty billion, four hundred seventy-six million, one hundred seventy-seven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 43 86 129 258 283 307 566 614 849 921 1698 1842 12169 13201 24338 26402 36507 39603 73014 79206 86881 173762 260643 521286 3735883 7471766 11207649 19840043 22415298 39680086 59520129 119040258 853121849 1706243698 2559365547 5118731094 5614732169 6090893201 11229464338 12181786402 16844196507 18272679603 33688393014 36545359206 241433483267 261908407643 482866966534 523816815286 724300449801 785725222929 1448600899602 1571450445858 1723722775883 3447445551766 5171168327649 10342336655298 74120079362969 148240158725938 222360238088907 444720476177814