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46944023040 = 293551723193
BaseRepresentation
bin101011101110000101…
…001111001000000000
311111011121110110100000
4223232011033020000
51232120132214130
633322113200000
73251213416635
oct535605171000
9144147413300
1046944023040
11189aa74a362
129121560000
1345718b9735
1423b491618c
15134b445260
hexaee14f200

46944023040 has 960 divisors, whose sum is σ = 187246515456. Its totient is φ = 11211374592.

The previous prime is 46944023003. The next prime is 46944023041. The reversal of 46944023040 is 4032044964.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46944022986 and 46944023004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46944023041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243233184 + ... + 243233376.

Almost surely, 246944023040 is an apocalyptic number.

46944023040 is a gapful number since it is divisible by the number (40) 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 46944023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623257728).

46944023040 is an abundant number, since it is smaller than the sum of its proper divisors (140302492416).

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

46944023040 is a wasteful number, since it uses less digits than its factorization.

46944023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46944023040 in words is "forty-six billion, nine hundred forty-four million, twenty-three thousand, forty".