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422410420144 = 241989131119179
BaseRepresentation
bin1100010010110011001…
…11110111111110110000
31111101022111201200001201
412021121213313332300
523410044031421034
6522015213140544
742342503220616
oct6113147677660
91441274650051
10422410420144
11153163740789
1269a4848a754
1330aaa50c78b
141663265b6b6
15aec4098014
hex62599f7fb0

422410420144 has 80 divisors (see below), whose sum is σ = 877832208000. Its totient is φ = 196329070080.

The previous prime is 422410420121. The next prime is 422410420217. The reversal of 422410420144 is 441024014224.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3484747 + ... + 3603925.

It is an arithmetic number, because the mean of its divisors is an integer number (10972902600).

Almost surely, 2422410420144 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 422410420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438916104000).

422410420144 is an abundant number, since it is smaller than the sum of its proper divisors (455421787856).

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

422410420144 is a wasteful number, since it uses less digits than its factorization.

422410420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119426 (or 119420 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 422410420144 its reverse (441024014224), we get a palindrome (863434434368).

The spelling of 422410420144 in words is "four hundred twenty-two billion, four hundred ten million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 89 131 152 178 262 304 356 524 712 1048 1424 1691 2096 2489 3382 4978 6764 9956 11659 13528 19912 23318 27056 39824 46636 93272 119179 186544 221521 238358 443042 476716 886084 953432 1772168 1906864 2264401 3544336 4528802 9057604 10606931 15612449 18115208 21213862 31224898 36230416 42427724 62449796 84855448 124899592 169710896 201531689 249799184 296636531 403063378 593273062 806126756 1186546124 1389507961 1612253512 2373092248 2779015922 3224507024 4746184496 5558031844 11116063688 22232127376 26400651259 52801302518 105602605036 211205210072 422410420144