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43134213440 = 2651931228853
BaseRepresentation
bin101000001010111111…
…111101110101000000
311010100002122002001202
4220022333331311000
51201314324312230
631452055520332
73054622523213
oct501277756500
9133302562052
1043134213440
1117325158a8a
1284396890a8
1340b54c9326
14213294d77a
1511c6c3ca45
hexa0affdd40

43134213440 has 112 divisors (see below), whose sum is σ = 111607518720. Its totient is φ = 15818250240.

The previous prime is 43134213431. The next prime is 43134213457. The reversal of 43134213440 is 4431243134.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 74054 + ... + 302906.

Almost surely, 243134213440 is an apocalyptic number.

43134213440 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 43134213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55803759360).

43134213440 is an abundant number, since it is smaller than the sum of its proper divisors (68473305280).

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

43134213440 is a wasteful number, since it uses less digits than its factorization.

43134213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228920 (or 228910 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 43134213440 its reverse (4431243134), we get a palindrome (47565456574).

The spelling of 43134213440 in words is "forty-three billion, one hundred thirty-four million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 64 76 80 95 124 152 155 160 190 248 304 310 320 380 496 589 608 620 760 992 1178 1216 1240 1520 1984 2356 2480 2945 3040 4712 4960 5890 6080 9424 9920 11780 18848 23560 37696 47120 94240 188480 228853 457706 915412 1144265 1830824 2288530 3661648 4348207 4577060 7094443 7323296 8696414 9154120 14188886 14646592 17392828 18308240 21741035 28377772 34785656 35472215 36616480 43482070 56755544 69571312 70944430 73232960 86964140 113511088 134794417 139142624 141888860 173928280 227022176 269588834 278285248 283777720 347856560 454044352 539177668 567555440 673972085 695713120 1078355336 1135110880 1347944170 1391426240 2156710672 2270221760 2695888340 4313421344 5391776680 8626842688 10783553360 21567106720 43134213440