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441244242431424 = 2634680591250629
BaseRepresentation
bin110010001010011110010111…
…0010101000100110111000000
32010212022112111220211121210000
41210110330232111010313000
5430313321202030301144
64202240450120440000
7161640562444116555
oct14424745625046700
92125275456747700
10441244242431424
111186596a5703373
12415a4110019000
1315c291cc396903
147ad649a038a2c
153602b96bce769
hex1914f2e544dc0

441244242431424 has 140 divisors (see below), whose sum is σ = 1308006428152600. Its totient is φ = 147079135452672.

The previous prime is 441244242431423. The next prime is 441244242431483. The reversal of 441244242431424 is 424134242442144.

441244242431424 is a `hidden beast` number, since 4 + 4 + 1 + 244 + 24 + 243 + 142 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 441244242431424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441244242431423) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 352192542 + ... + 353443170.

Almost surely, 2441244242431424 is an apocalyptic number.

It is an amenable number.

441244242431424 is an abundant number, since it is smaller than the sum of its proper divisors (866762185721176).

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

441244242431424 is a wasteful number, since it uses less digits than its factorization.

441244242431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318712 (or 1318693 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 45.

Adding to 441244242431424 its reverse (424134242442144), we get a palindrome (865378484873568).

The spelling of 441244242431424 in words is "four hundred forty-one trillion, two hundred forty-four billion, two hundred forty-two million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 68059 136118 204177 272236 408354 544472 612531 816708 1088944 1225062 1250629 1633416 1837593 2177888 2450124 2501258 3266832 3675186 3751887 4355776 4900248 5002516 5512779 6533664 7350372 7503774 9800496 10005032 11025558 11255661 13067328 14700744 15007548 19600992 20010064 22051116 22511322 29401488 30015096 33766983 39201984 40020128 44102232 45022644 58802976 60030192 67533966 80040256 88204464 90045288 101300949 117605952 120060384 135067932 176408928 180090576 202601898 240120768 270135864 352817856 360181152 405203796 540271728 720362304 810407592 1080543456 1620815184 2161086912 3241630368 6483260736 85116559111 170233118222 255349677333 340466236444 510699354666 680932472888 766049031999 1021398709332 1361864945776 1532098063998 2042797418664 2298147095997 2723729891552 3064196127996 4085594837328 4596294191994 5447459783104 6128392255992 6894441287991 8171189674656 9192588383988 12256784511984 13788882575982 16342379349312 18385176767976 24513569023968 27577765151964 36770353535952 49027138047936 55155530303928 73540707071904 110311060607856 147081414143808 220622121215712 441244242431424