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94402069440 = 2635718117757
BaseRepresentation
bin101011111101011001…
…1010100001111000000
3100000200001011000011020
41113322303110033000
53021313412210230
6111211231545440
76551241231150
oct1277263241700
9300601130136
1094402069440
1137043564008
121636708b280
138b95b2b1b3
1447d77d4760
1526c7a73810
hex15facd43c0

94402069440 has 224 divisors, whose sum is σ = 342777982464. Its totient is φ = 21562920960.

The previous prime is 94402069439. The next prime is 94402069493. The reversal of 94402069440 is 4496020449.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 94402069392 and 94402069401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12166042 + ... + 12173798.

Almost surely, 294402069440 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 94402069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171388991232).

94402069440 is an abundant number, since it is smaller than the sum of its proper divisors (248375913024).

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

94402069440 is a wasteful number, since it uses less digits than its factorization.

94402069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9585 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 94402069440 its reverse (4496020449), we get a palindrome (98898089889).

The spelling of 94402069440 in words is "ninety-four billion, four hundred two million, sixty-nine thousand, four hundred forty".