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114424003440 = 24325891785643
BaseRepresentation
bin110101010010000110…
…0111011101101110000
3101221100101221122012100
41222210030323231300
53333320021102230
6124322103300400
711160350660445
oct1524414735560
9357311848170
10114424003440
11445884043aa
121a21444a700
13aa36c15616
1457769899cc
152e9a6c3660
hex1aa433bb70

114424003440 has 120 divisors (see below), whose sum is σ = 388591847280. Its totient is φ = 30170207232.

The previous prime is 114424003409. The next prime is 114424003481. The reversal of 114424003440 is 44300424411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 828742 + ... + 956901.

It is an arithmetic number, because the mean of its divisors is an integer number (3238265394).

Almost surely, 2114424003440 is an apocalyptic number.

114424003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114424003440 is an abundant number, since it is smaller than the sum of its proper divisors (274167843840).

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

114424003440 is a wasteful number, since it uses less digits than its factorization.

114424003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785751 (or 1785742 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 114424003440 its reverse (44300424411), we get a palindrome (158724427851).

The spelling of 114424003440 in words is "one hundred fourteen billion, four hundred twenty-four million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2136 2670 3204 3560 4005 4272 5340 6408 7120 8010 10680 12816 16020 21360 32040 64080 1785643 3571286 5356929 7142572 8928215 10713858 14285144 16070787 17856430 21427716 26784645 28570288 32141574 35712860 42855432 53569290 64283148 71425720 80353935 85710864 107138580 128566296 142851440 158922227 160707870 214277160 257132592 317844454 321415740 428554320 476766681 635688908 642831480 794611135 953533362 1271377816 1285662960 1430300043 1589222270 1907066724 2383833405 2542755632 2860600086 3178444540 3814133448 4767666810 5721200172 6356889080 7151500215 7628266896 9535333620 11442400344 12713778160 14303000430 19070667240 22884800688 28606000860 38141334480 57212001720 114424003440