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43134333440 = 295117320983
BaseRepresentation
bin101000001011000000…
…011011001000000000
311010100002212011200012
4220023000123020000
51201314342132230
631452102244052
73054623533112
oct501300331000
9133302764605
1043134333440
1117325230160
128439726628
1340b553bb33
1421329813b2
1511c6c63395
hexa0b01b200

43134333440 has 160 divisors (see below), whose sum is σ = 114374215296. Its totient is φ = 15469608960.

The previous prime is 43134333421. The next prime is 43134333449. The reversal of 43134333440 is 4433343134.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 43134333397 and 43134333406.

It is not an unprimeable number, because it can be changed into a prime (43134333449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045189 + ... + 2066171.

Almost surely, 243134333440 is an apocalyptic number.

43134333440 is a gapful number since it is divisible by the number (40) 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 43134333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57187107648).

43134333440 is an abundant number, since it is smaller than the sum of its proper divisors (71239881856).

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

43134333440 is a wasteful number, since it uses less digits than its factorization.

43134333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21090 (or 21074 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 43134333440 its reverse (4433343134), we get a palindrome (47567676574).

The spelling of 43134333440 in words is "forty-three billion, one hundred thirty-four million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 256 292 320 352 365 440 512 584 640 704 730 803 880 1168 1280 1408 1460 1606 1760 2336 2560 2816 2920 3212 3520 4015 4672 5632 5840 6424 7040 8030 9344 11680 12848 14080 16060 18688 20983 23360 25696 28160 32120 37376 41966 46720 51392 64240 83932 93440 102784 104915 128480 167864 186880 205568 209830 230813 256960 335728 411136 419660 461626 513920 671456 839320 923252 1027840 1154065 1342912 1531759 1678640 1846504 2055680 2308130 2685824 3063518 3357280 3693008 4616260 5371648 6127036 6714560 7386016 7658795 9232520 10743296 12254072 13429120 14772032 15317590 16849349 18465040 24508144 26858240 29544064 30635180 33698698 36930080 49016288 53716480 59088128 61270360 67397396 73860160 84246745 98032576 118176256 122540720 134794792 147720320 168493490 196065152 245081440 269589584 295440640 336986980 392130304 490162880 539179168 590881280 673973960 784260608 980325760 1078358336 1347947920 1960651520 2156716672 2695895840 3921303040 4313433344 5391791680 8626866688 10783583360 21567166720 43134333440