Search a number
-
+
3944712816 = 24321119131071
BaseRepresentation
bin1110101100011111…
…1000101001110000
3101011220200011200200
43223013320221300
531034321302231
61451232515200
7166516335312
oct35307705160
911156604620
103944712816
111744762140
129210abb00
134ab3348c5
14295c817b2
151814a3be6
hexeb1f8a70

3944712816 has 120 divisors (see below), whose sum is σ = 12677283840. Its totient is φ = 1132444800.

The previous prime is 3944712809. The next prime is 3944712817. The reversal of 3944712816 is 6182174493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3944712817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35440 + ... + 95631.

It is an arithmetic number, because the mean of its divisors is an integer number (105644032).

Almost surely, 23944712816 is an apocalyptic number.

3944712816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3944712816 is an abundant number, since it is smaller than the sum of its proper divisors (8732571024).

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

3944712816 is a wasteful number, since it uses less digits than its factorization.

3944712816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131106 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3944712816 is about 62806.9487875346. The cubic root of 3944712816 is about 1580.0535173882.

The spelling of 3944712816 in words is "three billion, nine hundred forty-four million, seven hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 131071 262142 393213 524284 786426 1048568 1179639 1441781 1572852 2097136 2359278 2490349 2883562 3145704 4325343 4718556 4980698 5767124 6291408 7471047 8650686 9437112 9961396 11534248 12976029 14942094 17301372 18874224 19922792 22413141 23068496 25952058 27393839 29884188 34602744 39845584 44826282 51904116 54787678 59768376 69205488 82181517 89652564 103808232 109575356 119536752 164363034 179305128 207616464 219150712 246544551 328726068 358610256 438301424 493089102 657452136 986178204 1314904272 1972356408 3944712816