Search a number
-
+
40654277136 = 243611316859
BaseRepresentation
bin100101110111001011…
…110000101000010000
310212221021012021000000
4211313023300220100
51131224443332021
630402030130000
72636310440214
oct456713605020
9125837167000
1040654277136
1116272309150
127a67050900
133aab7a32b5
141d79442944
1510ce176b26
hex9772f0a10

40654277136 has 140 divisors (see below), whose sum is σ = 128834008560. Its totient is φ = 12319439040.

The previous prime is 40654277129. The next prime is 40654277161. The reversal of 40654277136 is 63177245604.

40654277136 is a `hidden beast` number, since 4 + 0 + 6 + 542 + 7 + 71 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40654277091 and 40654277100.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30126 + ... + 286733.

Almost surely, 240654277136 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 40654277136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417004280).

40654277136 is an abundant number, since it is smaller than the sum of its proper divisors (88179731424).

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

40654277136 is a wasteful number, since it uses less digits than its factorization.

40654277136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316896 (or 316875 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 40654277136 in words is "forty billion, six hundred fifty-four million, two hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4752 5346 5832 7128 8019 10692 11664 14256 16038 21384 32076 42768 64152 128304 316859 633718 950577 1267436 1901154 2534872 2851731 3485449 3802308 5069744 5703462 6970898 7604616 8555193 10456347 11406924 13941796 15209232 17110386 20912694 22813848 25665579 27883592 31369041 34220772 41825388 45627696 51331158 55767184 62738082 68441544 76996737 83650776 94107123 102662316 125476164 136883088 153993474 167301552 188214246 205324632 230990211 250952328 282321369 307986948 376428492 410649264 461980422 501904656 564642738 615973896 752856984 846964107 923960844 1129285476 1231947792 1505713968 1693928214 1847921688 2258570952 2540892321 3387856428 3695843376 4517141904 5081784642 6775712856 10163569284 13551425712 20327138568 40654277136