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134032403430 = 2345377162989
BaseRepresentation
bin111110011010011110…
…1000010101111100110
3110210221221121120020000
41330310331002233212
54143444243402210
6141323523322130
712453306426402
oct1746475025746
9423857546200
10134032403430
115192a885552
1221b87220346
13c840430173
1466b6c56102
153746d89ac0
hex1f34f42be6

134032403430 has 160 divisors (see below), whose sum is σ = 375357913920. Its totient is φ = 34285628160.

The previous prime is 134032403419. The next prime is 134032403431. The reversal of 134032403430 is 34304230431.

134032403430 is a `hidden beast` number, since 13 + 403 + 240 + 3 + 4 + 3 + 0 = 666.

134032403430 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134032403394 and 134032403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134032403431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2096376 + ... + 2159364.

It is an arithmetic number, because the mean of its divisors is an integer number (2345986962).

Almost surely, 2134032403430 is an apocalyptic number.

134032403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134032403430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187678956960).

134032403430 is an abundant number, since it is smaller than the sum of its proper divisors (241325510490).

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

134032403430 is a wasteful number, since it uses less digits than its factorization.

134032403430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63116 (or 63107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 134032403430 its reverse (34304230431), we get a palindrome (168336633861).

The spelling of 134032403430 in words is "one hundred thirty-four billion, thirty-two million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 71 74 81 90 111 135 142 162 185 213 222 270 333 355 370 405 426 555 639 666 710 810 999 1065 1110 1278 1665 1917 1998 2130 2627 2997 3195 3330 3834 4995 5254 5751 5994 6390 7881 9585 9990 11502 13135 14985 15762 19170 23643 26270 28755 29970 39405 47286 57510 62989 70929 78810 118215 125978 141858 188967 212787 236430 314945 354645 377934 425574 566901 629890 709290 944835 1063935 1133802 1700703 1889670 2127870 2330593 2834505 3401406 4472219 4661186 5102109 5669010 6991779 8503515 8944438 10204218 11652965 13416657 13983558 17007030 20975337 22361095 23305930 25510545 26833314 34958895 40249971 41950674 44722190 51021090 62926011 67083285 69917790 80499942 104876685 120749913 125852022 134166570 165472103 188778033 201249855 209753370 241499826 314630055 330944206 362249739 377556066 402499710 496416309 603749565 629260110 724499478 827360515 943890165 992832618 1207499130 1489248927 1654721030 1811248695 1887780330 2482081545 2978497854 3622497390 4467746781 4964163090 7446244635 8935493562 13403240343 14892489270 22338733905 26806480686 44677467810 67016201715 134032403430