Search a number
-
+
14503957920 = 2532529347317
BaseRepresentation
bin11011000001000000…
…01101010110100000
31101102210202101212200
431200200031112200
5214201003123140
610355114053200
71022264415414
oct154040152640
941383671780
1014503957920
116173119291
12298941a200
1314a1b4b62a
149b83bcd44
1559d4ce030
hex36080d5a0

14503957920 has 144 divisors (see below), whose sum is σ = 51201619560. Its totient is φ = 3734341632.

The previous prime is 14503957901. The next prime is 14503957957. The reversal of 14503957920 is 2975930541.

It is a happy number.

14503957920 is a `hidden beast` number, since 1 + 4 + 50 + 3 + 9 + 579 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12233244816 + 2270713104 = 110604^2 + 47652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 131899 + ... + 215418.

Almost surely, 214503957920 is an apocalyptic number.

14503957920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14503957920 is an abundant number, since it is smaller than the sum of its proper divisors (36697661640).

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

14503957920 is a wasteful number, since it uses less digits than its factorization.

14503957920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347367 (or 347356 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 14503957920 in words is "fourteen billion, five hundred three million, nine hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 347317 694634 1041951 1389268 1736585 2083902 2778536 3125853 3473170 4167804 5209755 5557072 6251706 6946340 8335608 10072193 10419510 11114144 12503412 13892680 15629265 16671216 20144386 20839020 25006824 27785360 30216579 31258530 33342432 40288772 41678040 50013648 50360965 55570720 60433158 62517060 80577544 83356080 90649737 100027296 100721930 120866316 125034120 151082895 161155088 166712160 181299474 201443860 241732632 250068240 302165790 322310176 362598948 402887720 453248685 483465264 500136480 604331580 725197896 805775440 906497370 966930528 1208663160 1450395792 1611550880 1812994740 2417326320 2900791584 3625989480 4834652640 7251978960 14503957920