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394014036948 = 2237191783138461
BaseRepresentation
bin1011011101111010001…
…00010001001111010100
31101200000111220221101120
411232331010101033110
522423420043140243
6501001344123540
740316015024460
oct5567504211724
91350014827346
10394014036948
111421117197a4
12644426065b0
132b20344877c
14150db1a94a0
15a3b1134c83
hex5bbd1113d4

394014036948 has 96 divisors (see below), whose sum is σ = 1106632611840. Its totient is φ = 106589831040.

The previous prime is 394014036943. The next prime is 394014036991. The reversal of 394014036948 is 849630410493.

It is a happy number.

It is a super-2 number, since 2×3940140369482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 394014036948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (394014036943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2776438 + ... + 2914898.

It is an arithmetic number, because the mean of its divisors is an integer number (11527423040).

Almost surely, 2394014036948 is an apocalyptic number.

394014036948 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394014036948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553316305920).

394014036948 is an abundant number, since it is smaller than the sum of its proper divisors (712618574892).

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

394014036948 is a wasteful number, since it uses less digits than its factorization.

394014036948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140277 (or 140275 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 394014036948 in words is "three hundred ninety-four billion, fourteen million, thirty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 1783 3566 5349 7132 10698 12481 21396 24962 33877 37443 49924 67754 74886 101631 135508 138461 149772 203262 237139 276922 406524 415383 474278 553844 711417 830766 948556 969227 1422834 1661532 1938454 2630759 2845668 2907681 3876908 5261518 5815362 7892277 10523036 11630724 15784554 18415313 31569108 36830626 55245939 73661252 110491878 220983756 246875963 493751926 740627889 987503852 1481255778 1728131741 2962511556 3456263482 4690643297 5184395223 6912526964 9381286594 10368790446 14071929891 18762573188 20737580892 28143859782 32834503079 56287719564 65669006158 98503509237 131338012316 197007018474 394014036948