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444235365140 = 225723712251389
BaseRepresentation
bin1100111011011100111…
…11011011101100010100
31120110122112012202012212
412131232133123230110
524234243223141030
6540025013332552
744044365205100
oct6355637335424
91513575182185
10444235365140
11161443311a06
1272119637158
1332b77ccc608
1417703070900
15b850148595
hex676e7dbb14

444235365140 has 72 divisors (see below), whose sum is σ = 1114533451080. Its totient is φ = 148192789248.

The previous prime is 444235365107. The next prime is 444235365151. The reversal of 444235365140 is 41563532444.

It can be written as a sum of positive squares in 4 ways, for example, as 257613093136 + 186622272004 = 507556^2 + 431998^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6089435 + ... + 6161954.

It is an arithmetic number, because the mean of its divisors is an integer number (15479631265).

Almost surely, 2444235365140 is an apocalyptic number.

It is an amenable number.

444235365140 is an abundant number, since it is smaller than the sum of its proper divisors (670298085940).

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

444235365140 is a wasteful number, since it uses less digits than its factorization.

444235365140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251449 (or 12251440 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 444235365140 its reverse (41563532444), we get a palindrome (485798897584).

The spelling of 444235365140 in words is "four hundred forty-four billion, two hundred thirty-five million, three hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 370 490 518 740 980 1036 1295 1813 2590 3626 5180 7252 9065 18130 36260 12251389 24502778 49005556 61256945 85759723 122513890 171519446 245027780 343038892 428798615 453301393 600318061 857597230 906602786 1200636122 1715194460 1813205572 2266506965 2401272244 3001590305 3173109751 4533013930 6003180610 6346219502 9066027860 12006361220 12692439004 15865548755 22211768257 31731097510 44423536514 63462195020 88847073028 111058841285 222117682570 444235365140