Search a number
-
+
40054114170 = 2335740135281
BaseRepresentation
bin100101010011011010…
…010100011101111010
310211101102212211012000
4211103122110131322
51124012323123140
630222310401430
72615402232030
oct452332243572
9124342784160
1040054114170
1115a945598a4
12791a060276
133a1434b495
141d1d856550
151096625a30
hex95369477a

40054114170 has 128 divisors (see below), whose sum is σ = 122123220480. Its totient is φ = 9151211520.

The previous prime is 40054114157. The next prime is 40054114193. The reversal of 40054114170 is 7141145004.

40054114170 is a `hidden beast` number, since 40 + 0 + 541 + 14 + 1 + 70 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 7581930 + ... + 7587210.

It is an arithmetic number, because the mean of its divisors is an integer number (954087660).

Almost surely, 240054114170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40054114170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61061610240).

40054114170 is an abundant number, since it is smaller than the sum of its proper divisors (82069106310).

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

40054114170 is a wasteful number, since it uses less digits than its factorization.

40054114170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9317 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 40054114170 its reverse (7141145004), we get a palindrome (47195259174).

The spelling of 40054114170 in words is "forty billion, fifty-four million, one hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 4013 5281 8026 10562 12039 15843 20065 24078 26405 28091 31686 36117 36967 40130 47529 52810 56182 60195 72234 73934 79215 84273 95058 108351 110901 120390 140455 142587 158430 168546 180585 184835 216702 221802 237645 252819 280910 285174 332703 361170 369670 421365 475290 505638 541755 554505 665406 712935 758457 842730 998109 1083510 1109010 1264095 1425870 1516914 1663515 1996218 2528190 3327030 3792285 4990545 7584570 9981090 21192653 42385306 63577959 105963265 127155918 148348571 190733877 211926530 296697142 317889795 381467754 445045713 572201631 635779590 741742855 890091426 953669385 1144403262 1335137139 1483485710 1907338770 2225228565 2670274278 2861008155 4005411417 4450457130 5722016310 6675685695 8010822834 13351371390 20027057085 40054114170