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142441024 = 26111923463
BaseRepresentation
bin10000111110101…
…11101001000000
3100221000202100111
420133113221000
5242431103044
622045001104
73346504645
oct1037275100
9327022314
10142441024
117344a060
123b853194
132368343b
1414cbbdcc
15c789b34
hex87d7a40

142441024 has 112 divisors (see below), whose sum is σ = 339425280. Its totient is φ = 58544640.

The previous prime is 142441021. The next prime is 142441109. The reversal of 142441024 is 420144241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 142440986 and 142441004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142441021) 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 15 ways as a sum of consecutive naturals, for example, 307417 + ... + 307879.

Almost surely, 2142441024 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 142441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169712640).

142441024 is an abundant number, since it is smaller than the sum of its proper divisors (196984256).

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

142441024 is a wasteful number, since it uses less digits than its factorization.

142441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 142441024 is about 11934.8658978641. The cubic root of 142441024 is about 522.2498962515.

Adding to 142441024 its reverse (420144241), we get a palindrome (562585265).

The spelling of 142441024 in words is "one hundred forty-two million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 64 76 88 92 152 176 184 209 253 304 352 368 418 437 463 506 608 704 736 836 874 926 1012 1216 1472 1672 1748 1852 2024 3344 3496 3704 4048 4807 5093 6688 6992 7408 8096 8797 9614 10186 10649 13376 13984 14816 16192 17594 19228 20372 21298 27968 29632 35188 38456 40744 42596 70376 76912 81488 85192 96767 117139 140752 153824 162976 170384 193534 202331 234278 281504 307648 325952 340768 387068 404662 468556 563008 681536 774136 809324 937112 1548272 1618648 1874224 2225641 3096544 3237296 3748448 4451282 6193088 6474592 7496896 8902564 12949184 17805128 35610256 71220512 142441024