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4300001130040 = 2357114332467541
BaseRepresentation
bin111110100100101100000…
…010100011011000111000
3120020002001110202010210121
4332210230002203120320
51030422400242130130
613051220535223024
7622444015353160
oct76445402433070
916202043663717
104300001130040
11140869059a990
12595451817a74
13252646c317b5
1410c19a6975a0
1576cbd7ddd7a
hex3e92c0a3638

4300001130040 has 128 divisors (see below), whose sum is σ = 12342860766720. Its totient is φ = 1309091212800.

The previous prime is 4300001130013. The next prime is 4300001130049. The reversal of 4300001130040 is 400311000034.

4300001130040 is a modest number, since divided by 1130040 gives 43000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4300001129996 and 4300001130023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4300001130049) 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, 16101331 + ... + 16366210.

It is an arithmetic number, because the mean of its divisors is an integer number (96428599740).

Almost surely, 24300001130040 is an apocalyptic number.

4300001130040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4300001130040 is an abundant number, since it is smaller than the sum of its proper divisors (8042859636680).

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

4300001130040 is a wasteful number, since it uses less digits than its factorization.

4300001130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32467613 (or 32467609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4300001130040 its reverse (400311000034), we get a palindrome (4700312130074).

The spelling of 4300001130040 in words is "four trillion, three hundred billion, one million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 110 140 154 172 215 220 280 301 308 344 385 430 440 473 602 616 770 860 946 1204 1505 1540 1720 1892 2365 2408 3010 3080 3311 3784 4730 6020 6622 9460 12040 13244 16555 18920 26488 33110 66220 132440 32467541 64935082 129870164 162337705 227272787 259740328 324675410 357142951 454545574 649350820 714285902 909091148 1136363935 1298701640 1396104263 1428571804 1785714755 1818182296 2272727870 2500000657 2792208526 2857143608 3571429510 4545455740 5000001314 5584417052 6980521315 7142859020 9090911480 9772729841 10000002628 11168834104 12500003285 13961042630 14285718040 15357146893 19545459682 20000005256 25000006570 27922085260 30714293786 39090919364 48863649205 50000013140 55844170520 61428587572 76785734465 78181838728 97727298410 100000026280 107500028251 122857175144 153571468930 195454596820 215000056502 307142937860 390909193640 430000113004 537500141255 614285875720 860000226008 1075000282510 2150000565020 4300001130040