Search a number
-
+
142563410624 = 263724433673
BaseRepresentation
bin1000010011000101110…
…0010000001011000000
3111121222111012122001102
42010301130100023000
54313432213114444
6145254232353532
713204565665445
oct2046134201300
9447874178042
10142563410624
1155508368518
12237682458a8
131059c99390b
146c85c679cc
153a95cc584e
hex21317102c0

142563410624 has 84 divisors (see below), whose sum is σ = 291487503384. Its totient is φ = 69179774976.

The previous prime is 142563410573. The next prime is 142563410629. The reversal of 142563410624 is 426014365241.

It is not an unprimeable number, because it can be changed into a prime (142563410629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38812052 + ... + 38815724.

It is an arithmetic number, because the mean of its divisors is an integer number (3470089326).

Almost surely, 2142563410624 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 142563410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145743751692).

142563410624 is an abundant number, since it is smaller than the sum of its proper divisors (148924092760).

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

142563410624 is an equidigital number, since it uses as much as digits as its factorization.

142563410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

Adding to 142563410624 its reverse (426014365241), we get a palindrome (568577775865).

The spelling of 142563410624 in words is "one hundred forty-two billion, five hundred sixty-three million, four hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 443 592 886 1184 1369 1772 2368 2738 3544 3673 5476 7088 7346 10952 14176 14692 16391 21904 28352 29384 32782 43808 58768 65564 87616 117536 131128 135901 235072 262256 271802 524512 543604 606467 1049024 1087208 1212934 1627139 2174416 2425868 3254278 4348832 4851736 5028337 6508556 8697664 9703472 10056674 13017112 19406944 20113348 26034224 38813888 40226696 52068448 60204143 80453392 104136896 120408286 160906784 240816572 321813568 481633144 963266288 1926532576 2227553291 3853065152 4455106582 8910213164 17820426328 35640852656 71281705312 142563410624