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40609383048 = 23341346110457
BaseRepresentation
bin100101110100100000…
…100000001010001000
310212211010201101220000
4211310200200022020
51131132000224143
630353344003000
72635224026523
oct456440401210
9125733641800
1040609383048
1116249a355a3
127a54000460
133aa23b4c50
141d734b7bba
1510ca259bd3
hex974820288

40609383048 has 160 divisors (see below), whose sum is σ = 122770854360. Its totient is φ = 12466897920.

The previous prime is 40609383047. The next prime is 40609383049. The reversal of 40609383048 is 84038390604.

40609383048 is a `hidden beast` number, since 4 + 0 + 609 + 3 + 8 + 30 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (40609383047) and next prime (40609383049).

It can be written as a sum of positive squares in 4 ways, for example, as 33110169444 + 7499213604 = 181962^2 + 86598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40609382994 and 40609383012.

It is not an unprimeable number, because it can be changed into a prime (40609383043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3878236 + ... + 3888692.

Almost surely, 240609383048 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 40609383048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61385427180).

40609383048 is an abundant number, since it is smaller than the sum of its proper divisors (82161471312).

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

40609383048 is a wasteful number, since it uses less digits than its factorization.

40609383048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10949 (or 10936 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40609383048 in words is "forty billion, six hundred nine million, three hundred eighty-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 461 468 648 702 922 936 1053 1383 1404 1844 2106 2766 2808 3688 4149 4212 5532 5993 8298 8424 10457 11064 11986 12447 16596 17979 20914 23972 24894 31371 33192 35958 37341 41828 47944 49788 53937 62742 71916 74682 83656 94113 99576 107874 125484 135941 143832 149364 161811 188226 215748 250968 271882 282339 298728 323622 376452 407823 431496 485433 543764 564678 647244 752904 815646 847017 970866 1087528 1129356 1223469 1294488 1631292 1694034 1941732 2258712 2446938 3262584 3388068 3670407 3883464 4820677 4893876 6776136 7340814 9641354 9787752 11011221 14462031 14681628 19282708 22022442 28924062 29363256 38565416 43386093 44044884 57848124 62668801 86772186 88089768 115696248 125337602 130158279 173544372 188006403 250675204 260316558 347088744 376012806 390474837 501350408 520633116 564019209 752025612 780949674 1041266232 1128038418 1504051224 1561899348 1692057627 2256076836 3123798696 3384115254 4512153672 5076172881 6768230508 10152345762 13536461016 20304691524 40609383048