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4040063678976 = 29313461438887
BaseRepresentation
bin111010110010100110100…
…011110111101000000000
3112022020002222120110120020
4322302212203313220000
51012143022300211401
612331551333413440
7564612354442653
oct72624643675000
915266088513506
104040063678976
111318421693666
12552ba919a280
13233c90115660
14dd77c16589a
157015836ed36
hex3aca68f7a00

4040063678976 has 160 divisors (see below), whose sum is σ = 11616073273728. Its totient is φ = 1240397168640.

The previous prime is 4040063678971. The next prime is 4040063678977. The reversal of 4040063678976 is 6798763600404.

It is a happy number.

It is a super-2 number, since 2×40400636789762 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4040063678971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8985805 + ... + 9424691.

Almost surely, 24040063678976 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 4040063678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808036636864).

4040063678976 is an abundant number, since it is smaller than the sum of its proper divisors (7576009594752).

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

4040063678976 is a wasteful number, since it uses less digits than its factorization.

4040063678976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439382 (or 439366 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 4040063678976 in words is "four trillion, forty billion, sixty-three million, six hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 461 512 624 768 832 922 1248 1383 1536 1664 1844 2496 2766 3328 3688 4992 5532 5993 6656 7376 9984 11064 11986 14752 17979 19968 22128 23972 29504 35958 44256 47944 59008 71916 88512 95888 118016 143832 177024 191776 236032 287664 354048 383552 438887 575328 708096 767104 877774 1150656 1316661 1534208 1755548 2301312 2633322 3068416 3511096 4602624 5266644 5705531 7022192 9205248 10533288 11411062 14044384 17116593 21066576 22822124 28088768 34233186 42133152 45644248 56177536 68466372 84266304 91288496 112355072 136932744 168532608 182576992 202326907 224710144 273865488 337065216 365153984 404653814 547730976 606980721 674130432 730307968 809307628 1095461952 1213961442 1460615936 1618615256 2190923904 2427922884 2630249791 2921231872 3237230512 4381847808 4855845768 5260499582 6474461024 7890749373 8763695616 9711691536 10520999164 12948922048 15781498746 19423383072 21041998328 25897844096 31562997492 38846766144 42083996656 51795688192 63125994984 77693532288 84167993312 103591376384 126251989968 155387064576 168335986624 252503979936 310774129152 336671973248 505007959872 673343946496 1010015919744 1346687892992 2020031839488 4040063678976