Search a number
-
+
14401855440 = 2432572857511
BaseRepresentation
bin11010110100110101…
…01101111111010000
31101011200122001121100
431122122231333100
5213443333333230
610341025424400
71016614515510
oct153232557720
941150561540
1014401855440
116120521175
12295b19b100
13148694cb6b
149a8a01840
15594561660
hex35a6adfd0

14401855440 has 120 divisors (see below), whose sum is σ = 55275712128. Its totient is φ = 3291851520.

The previous prime is 14401855409. The next prime is 14401855477. The reversal of 14401855440 is 4455810441.

14401855440 is a `hidden beast` number, since 14 + 40 + 18 + 554 + 40 = 666.

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

It is a super-2 number, since 2×144018554402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14401855395 and 14401855404.

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, 1423716 + ... + 1433795.

Almost surely, 214401855440 is an apocalyptic number.

14401855440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14401855440 is an abundant number, since it is smaller than the sum of its proper divisors (40873856688).

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

14401855440 is a wasteful number, since it uses less digits than its factorization.

14401855440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857537 (or 2857528 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 14401855440 in words is "fourteen billion, four hundred one million, eight hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2857511 5715022 8572533 11430044 14287555 17145066 20002577 22860088 25717599 28575110 34290132 40005154 42862665 45720176 51435198 57150220 60007731 68580264 80010308 85725330 100012885 102870396 114300440 120015462 128587995 137160528 160020616 171450660 180023193 200025770 205740792 228600880 240030924 257175990 300038655 320041232 342901320 360046386 400051540 411481584 480061848 514351980 600077310 685802640 720092772 800103080 900115965 960123696 1028703960 1200154620 1440185544 1600206160 1800231930 2057407920 2400309240 2880371088 3600463860 4800618480 7200927720 14401855440