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43142456340 = 22325318279349
BaseRepresentation
bin101000001011011111…
…011010010000010100
311010100200010212012100
4220023133122100110
51201323432100330
631452552322100
73055052554044
oct501337322024
9133320125170
1043142456340
1117329878aa5
1284403a3330
1340b7124199
142133a97724
1511c781a060
hexa0b7da414

43142456340 has 144 divisors (see below), whose sum is σ = 135264729600. Its totient is φ = 11118885120.

The previous prime is 43142456317. The next prime is 43142456347. The reversal of 43142456340 is 4365424134.

43142456340 is a `hidden beast` number, since 4 + 3 + 14 + 2 + 4 + 5 + 634 + 0 = 666.

It is a super-2 number, since 2×431424563402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43142456295 and 43142456304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43142456347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4609986 + ... + 4619334.

It is an arithmetic number, because the mean of its divisors is an integer number (939338400).

Almost surely, 243142456340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43142456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67632364800).

43142456340 is an abundant number, since it is smaller than the sum of its proper divisors (92122273260).

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

43142456340 is a wasteful number, since it uses less digits than its factorization.

43142456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222 (or 10217 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 43142456340 in words is "forty-three billion, one hundred forty-two million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 827 930 1116 1395 1654 1860 2481 2790 3308 4135 4962 5580 7443 8270 9349 9924 12405 14886 16540 18698 24810 25637 28047 29772 37215 37396 46745 49620 51274 56094 74430 76911 84141 93490 102548 112188 128185 140235 148860 153822 168282 186980 230733 256370 280470 289819 307644 336564 384555 420705 461466 512740 560940 579638 769110 841410 869457 922932 1153665 1159276 1449095 1538220 1682820 1738914 2307330 2608371 2898190 3477828 4347285 4614660 5216742 5796380 7731623 8694570 10433484 13041855 15463246 17389140 23194869 26083710 30926492 38658115 46389738 52167420 69584607 77316230 92779476 115974345 139169214 154632460 231948690 239680313 278338428 347923035 463897380 479360626 695846070 719040939 958721252 1198401565 1391692140 1438081878 2157122817 2396803130 2876163756 3595204695 4314245634 4793606260 7190409390 8628491268 10785614085 14380818780 21571228170 43142456340