Search a number
-
+
16104432032400 = 2435267200303881
BaseRepresentation
bin1110101001011001101011…
…1100110101101010010000
32010000120100120001201110110
43222112122330311222100
54102323334100014100
654130135101001320
73251335560444315
oct352263274655220
963016316051413
1016104432032400
11514994004a068
121981191853240
138ca845294b1a
143d965c834d0c
151cdda727a250
hexea59af35a90

16104432032400 has 120 divisors (see below), whose sum is σ = 52357832323744. Its totient is φ = 4230417945600.

The previous prime is 16104432032393. The next prime is 16104432032401. The reversal of 16104432032400 is 423023440161.

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

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

It is not an unprimeable number, because it can be changed into a prime (16104432032401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100071541 + ... + 100232340.

Almost surely, 216104432032400 is an apocalyptic number.

16104432032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16104432032400 is an abundant number, since it is smaller than the sum of its proper divisors (36253400291344).

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

16104432032400 is a wasteful number, since it uses less digits than its factorization.

16104432032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200303969 (or 200303958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 16104432032400 its reverse (423023440161), we get a palindrome (16527455472561).

The spelling of 16104432032400 in words is "sixteen trillion, one hundred four billion, four hundred thirty-two million, thirty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 134 150 200 201 240 268 300 335 400 402 536 600 670 804 1005 1072 1200 1340 1608 1675 2010 2680 3216 3350 4020 5025 5360 6700 8040 10050 13400 16080 20100 26800 40200 80400 200303881 400607762 600911643 801215524 1001519405 1201823286 1602431048 2003038810 2403646572 3004558215 3204862096 4006077620 4807293144 5007597025 6009116430 8012155240 9614586288 10015194050 12018232860 13420360027 15022791075 16024310480 20030388100 24036465720 26840720054 30045582150 40060776200 40261080081 48072931440 53681440108 60091164300 67101800135 80121552400 80522160162 107362880216 120182328600 134203600270 161044320324 201305400405 214725760432 240364657200 268407200540 322088640648 335509000675 402610800810 536814401080 644177281296 671018001350 805221601620 1006527002025 1073628802160 1342036002700 1610443203240 2013054004050 2684072005400 3220886406480 4026108008100 5368144010800 8052216016200 16104432032400