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440202114 = 234112171321
BaseRepresentation
bin11010001111001…
…111001110000010
31010200022120210000
4122033033032002
51400142431424
6111403020430
713623441042
oct3217171602
91120276700
10440202114
11206534400
1210350a716
1370279131
144266b722
15289a53c9
hex1a3cf382

440202114 has 120 divisors (see below), whose sum is σ = 1148847084. Its totient is φ = 125452800.

The previous prime is 440202109. The next prime is 440202143. The reversal of 440202114 is 411202044.

It can be written as a sum of positive squares in 2 ways, for example, as 372683025 + 67519089 = 19305^2 + 8217^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 332574 + ... + 333894.

Almost surely, 2440202114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440202114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574423542).

440202114 is an abundant number, since it is smaller than the sum of its proper divisors (708644970).

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

440202114 is a wasteful number, since it uses less digits than its factorization.

440202114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 440202114 is about 20980.9941137211. The cubic root of 440202114 is about 760.7069334059.

Adding to 440202114 its reverse (411202044), we get a palindrome (851404158).

The spelling of 440202114 in words is "four hundred forty million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 121 153 162 187 198 242 297 306 363 374 459 561 594 726 891 918 1089 1122 1321 1377 1683 1782 2057 2178 2642 2754 3267 3366 3963 4114 5049 6171 6534 7926 9801 10098 11889 12342 14531 15147 18513 19602 22457 23778 29062 30294 35667 37026 43593 44914 55539 67371 71334 87186 107001 111078 130779 134742 159841 166617 202113 214002 247027 261558 319682 333234 392337 404226 479523 494054 606339 741081 784674 959046 1177011 1212678 1438569 1482162 1819017 2223243 2354022 2717297 2877138 3638034 4315707 4446486 5434594 6669729 8151891 8631414 12947121 13339458 16303782 20009187 24455673 25894242 40018374 48911346 73367019 146734038 220101057 440202114