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141403001024 = 26612631941
BaseRepresentation
bin1000001110110001000…
…1101001000011000000
3111111222121200201100002
42003230101221003000
54304043132013044
6144543141015132
713134045451205
oct2035421510300
9444877621302
10141403001024
1154a7234261a
12234a36b44a8
131044645170c
146bb5ac1cac
153a28eaa74e
hex20ec4690c0

141403001024 has 84 divisors (see below), whose sum is σ = 286027666704. Its totient is φ = 69358464000.

The previous prime is 141403001021. The next prime is 141403001057. The reversal of 141403001024 is 420100304141.

It is a junction number, because it is equal to n+sod(n) for n = 141403000987 and 141403001005.

It is not an unprimeable number, because it can be changed into a prime (141403001021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150268394 + ... + 150269334.

Almost surely, 2141403001024 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 141403001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143013833352).

141403001024 is an abundant number, since it is smaller than the sum of its proper divisors (144624665680).

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

141403001024 is an frugal number, since it uses more digits than its factorization.

141403001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 141403001024 its reverse (420100304141), we get a palindrome (561503305165).

The spelling of 141403001024 in words is "one hundred forty-one billion, four hundred three million, one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 631 941 976 1262 1882 1952 2524 3721 3764 3904 5048 7442 7528 10096 14884 15056 20192 29768 30112 38491 40384 57401 59536 60224 76982 114802 119072 153964 229604 238144 307928 459208 593771 615856 918416 1187542 1231712 1836832 2347951 2375084 2463424 3501461 3673664 4695902 4750168 7002922 9391804 9500336 14005844 18783608 19000672 28011688 36220031 37567216 38001344 56023376 72440062 75134432 112046752 144880124 150268864 224093504 289760248 579520496 1159040992 2209421891 2318081984 4418843782 8837687564 17675375128 35350750256 70701500512 141403001024