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46420140032 = 21373126113
BaseRepresentation
bin101011001110110110…
…110010000000000000
311102211002200102221122
4223032312302000000
51230032023440112
633154120411412
73232222452140
oct531666620000
9142732612848
1046420140032
1118760a602a2
128bb6016b68
1344ba1c19a6
142365104920
15131a460872
hexacedb2000

46420140032 has 112 divisors (see below), whose sum is σ = 109523369472. Its totient is φ = 19251855360.

The previous prime is 46420139981. The next prime is 46420140071. The reversal of 46420140032 is 23004102464.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×464201400322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46420139983 and 46420140010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764608 + ... + 1790720.

Almost surely, 246420140032 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 46420140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54761684736).

46420140032 is an abundant number, since it is smaller than the sum of its proper divisors (63103229440).

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

46420140032 is an equidigital number, since it uses as much as digits as its factorization.

46420140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26177 (or 26153 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 46420140032 its reverse (23004102464), we get a palindrome (69424242496).

The spelling of 46420140032 in words is "forty-six billion, four hundred twenty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 512 868 896 992 1024 1736 1792 1984 2048 3472 3584 3968 4096 6944 7168 7936 8192 13888 14336 15872 26113 27776 28672 31744 52226 55552 57344 63488 104452 111104 126976 182791 208904 222208 253952 365582 417808 444416 731164 809503 835616 888832 1462328 1619006 1671232 1777664 2924656 3238012 3342464 5666521 5849312 6476024 6684928 11333042 11698624 12952048 13369856 22666084 23397248 25904096 26739712 45332168 46794496 51808192 53479424 90664336 93588992 103616384 106958848 181328672 187177984 207232768 213917696 362657344 374355968 414465536 725314688 748711936 828931072 1450629376 1497423872 1657862144 2901258752 3315724288 5802517504 6631448576 11605035008 23210070016 46420140032