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14730035700 = 223521492291439
BaseRepresentation
bin11011011011111101…
…01000000111110100
31102000120011100021210
431231332220013310
5220131342120300
610433351441420
71031011144332
oct155576500764
942016140253
1014730035700
1162797a2926
122a31086270
131509936573
149da42cb52
155b328a050
hex36dfa81f4

14730035700 has 144 divisors (see below), whose sum is σ = 43122240000. Its totient is φ = 3881909760.

The previous prime is 14730035689. The next prime is 14730035711. The reversal of 14730035700 is 753003741.

It is an interprime number because it is at equal distance from previous prime (14730035689) and next prime (14730035711).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10235581 + ... + 10237019.

It is an arithmetic number, because the mean of its divisors is an integer number (299460000).

Almost surely, 214730035700 is an apocalyptic number.

14730035700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14730035700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120000).

14730035700 is an abundant number, since it is smaller than the sum of its proper divisors (28392204300).

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

14730035700 is a wasteful number, since it uses less digits than its factorization.

14730035700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 14730035700 in words is "fourteen billion, seven hundred thirty million, thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 229 298 300 447 458 596 687 745 894 916 1145 1374 1439 1490 1788 2235 2290 2748 2878 2980 3435 3725 4317 4470 4580 5725 5756 6870 7195 7450 8634 8940 11175 11450 13740 14390 14900 17175 17268 21585 22350 22900 28780 34121 34350 35975 43170 44700 68242 68700 71950 86340 102363 107925 136484 143900 170605 204726 214411 215850 329531 341210 409452 428822 431700 511815 643233 659062 682420 853025 857644 988593 1023630 1072055 1286466 1318124 1647655 1706050 1977186 2047260 2144110 2559075 2572932 3216165 3295310 3412100 3954372 4288220 4942965 5118150 5360275 6432330 6590620 8238275 9885930 10236300 10720550 12864660 16080825 16476550 19771860 21441100 24714825 32161650 32953100 49100119 49429650 64323300 98200238 98859300 147300357 196400476 245500595 294600714 491001190 589201428 736501785 982002380 1227502975 1473003570 2455005950 2946007140 3682508925 4910011900 7365017850 14730035700