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32140553154342 = 23375319343132839
BaseRepresentation
bin1110100111011010011100…
…10000001110111100100110
311012210121101102002122022020
413103231032100032330212
513203042323101414332
6152205055530044010
76525035604113403
oct723551620167446
9135717342078266
1032140553154342
11a271806398026
12373107a279606
1314c1ac203b769
147d187aad92aa
153ab0b234082c
hex1d3b4e40ef26

32140553154342 has 128 divisors (see below), whose sum is σ = 67771520225280. Its totient is φ = 10150378168320.

The previous prime is 32140553154341. The next prime is 32140553154389. The reversal of 32140553154342 is 24345135504123.

It is a junction number, because it is equal to n+sod(n) for n = 32140553154294 and 32140553154303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32140553154341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 978714759 + ... + 978747597.

It is an arithmetic number, because the mean of its divisors is an integer number (529465001760).

Almost surely, 232140553154342 is an apocalyptic number.

32140553154342 is an abundant number, since it is smaller than the sum of its proper divisors (35630967070938).

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

32140553154342 is a wasteful number, since it uses less digits than its factorization.

32140553154342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33558.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 32140553154342 its reverse (24345135504123), we get a palindrome (56485688658465).

The spelling of 32140553154342 in words is "thirty-two trillion, one hundred forty billion, five hundred fifty-three million, one hundred fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 37 53 74 106 111 159 193 222 318 386 431 579 862 1158 1293 1961 2586 3922 5883 7141 10229 11766 14282 15947 20458 21423 22843 30687 31894 32839 42846 45686 47841 61374 65678 68529 83183 95682 98517 137058 166366 197034 249549 378473 499098 756946 845191 1135419 1215043 1690382 1740467 2270838 2430086 2535573 3077771 3480934 3645129 4408699 5071146 5221401 6155542 6337927 7290258 8817398 9233313 10442802 12675854 13226097 14153609 18466626 19013781 26452194 28307218 38027562 42460827 64397279 84921654 128794558 163121863 193191837 234503299 326243726 335910131 386383674 469006598 489365589 523683533 671820262 703509897 750141277 978731178 1007730393 1047367066 1407019794 1500282554 1571050599 2015460786 2250423831 2731646537 3142101198 4500847662 5463293074 8194939611 12428674847 16389879222 24857349694 27755227249 37286024541 55510454498 74572049082 83265681747 101070921869 144777266461 166531363494 202141843738 289554532922 303212765607 434331799383 606425531214 868663598766 5356758859057 10713517718114 16070276577171 32140553154342