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14053531440 = 24351317264961
BaseRepresentation
bin11010001011010011…
…11101111100110000
31100021102012100220110
431011221331330300
5212240201001230
610242303541320
71005155021604
oct150551757460
940242170813
1014053531440
115a619411a3
1228825ba840
13142c7327a0
1497464d504
15573ba94b0
hex345a7df30

14053531440 has 160 divisors (see below), whose sum is σ = 49677195456. Its totient is φ = 3255828480.

The previous prime is 14053531433. The next prime is 14053531441. The reversal of 14053531440 is 4413535041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14053531398 and 14053531407.

It is not an unprimeable number, because it can be changed into a prime (14053531441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79441 + ... + 185520.

Almost surely, 214053531440 is an apocalyptic number.

14053531440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14053531440 is an abundant number, since it is smaller than the sum of its proper divisors (35623664016).

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

14053531440 is a wasteful number, since it uses less digits than its factorization.

14053531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265007 (or 265001 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 14053531440 in words is "fourteen billion, fifty-three million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 264961 529922 794883 1059844 1324805 1589766 2119688 2649610 3179532 3444493 3974415 4239376 4504337 5299220 6359064 6888986 7948830 9008674 10333479 10598440 12718128 13513011 13777972 15897660 17222465 18017348 20666958 21196880 22521685 27026022 27555944 31795320 34444930 36034696 41333916 45043370 51667395 54052044 55111888 58556381 63590640 67565055 68889860 72069392 82667832 90086740 103334790 108104088 117112762 135130110 137779720 165335664 175669143 180173480 206669580 216208176 234225524 270260220 275559440 292781905 351338286 360346960 413339160 468451048 540520440 585563810 702676572 826678320 878345715 936902096 1081040880 1171127620 1405353144 1756691430 2342255240 2810706288 3513382860 4684510480 7026765720 14053531440