Search a number
-
+
14002244043400 = 2352374146151101
BaseRepresentation
bin1100101111000010011011…
…0010000100001010001000
31211120121020110111011121001
43023300212302010022020
53313403043433342100
645440313032424344
72643425442405124
oct313604662041210
954517213434531
1014002244043400
1145093557a7708
1216a188b2480b4
137a7537b36692
143659d84d2584
1519436ce19d6a
hexcbc26c84288

14002244043400 has 96 divisors (see below), whose sum is σ = 34250578838280. Its totient is φ = 5316606720000.

The previous prime is 14002244043391. The next prime is 14002244043401. The reversal of 14002244043400 is 434044220041.

It can be written as a sum of positive squares in 12 ways, for example, as 2626882426756 + 11375361616644 = 1620766^2 + 3372738^2 .

It is not an unprimeable number, because it can be changed into a prime (14002244043401) 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, 22772151 + ... + 23378950.

Almost surely, 214002244043400 is an apocalyptic number.

14002244043400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002244043400 is an abundant number, since it is smaller than the sum of its proper divisors (20248334794880).

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

14002244043400 is a wasteful number, since it uses less digits than its factorization.

14002244043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46151195 (or 46151186 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14002244043400 its reverse (434044220041), we get a palindrome (14436288263441).

The spelling of 14002244043400 in words is "fourteen trillion, two billion, two hundred forty-four million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 41 50 74 82 100 148 164 185 200 205 296 328 370 410 740 820 925 1025 1480 1517 1640 1850 2050 3034 3700 4100 6068 7400 7585 8200 12136 15170 30340 37925 60680 75850 151700 303400 46151101 92302202 184604404 230755505 369208808 461511010 923022020 1153777525 1707590737 1846044040 1892195141 2307555050 3415181474 3784390282 4615110100 6830362948 7568780564 8537953685 9230220200 9460975705 13660725896 15137561128 17075907370 18921951410 34151814740 37843902820 42689768425 47304878525 68303629480 70011220217 75687805640 85379536850 94609757050 140022440434 170759073700 189219514100 280044880868 341518147400 350056101085 378439028200 560089761736 700112202170 1400224404340 1750280505425 2800448808680 3500561010850 7001122021700 14002244043400