Search a number
-
+
142131141152 = 25711134437161
BaseRepresentation
bin1000010001011110101…
…1010001101000100000
3111120212100211001210222
42010113223101220200
54312041033004102
6145143311342212
713161066523550
oct2042753215040
9446770731728
10142131141152
1155306362020
1223667521968
1310531264370
146c446a3160
153a6cd8aaa2
hex2117ad1a20

142131141152 has 96 divisors (see below), whose sum is σ = 375703380864. Its totient is φ = 51116083200.

The previous prime is 142131141101. The next prime is 142131141161. The reversal of 142131141152 is 251141131241.

It is a super-2 number, since 2×1421311411522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2186549 + ... + 2250612.

It is an arithmetic number, because the mean of its divisors is an integer number (3913576884).

Almost surely, 2142131141152 is an apocalyptic number.

It is an amenable number.

142131141152 is an abundant number, since it is smaller than the sum of its proper divisors (233572239712).

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

142131141152 is a wasteful number, since it uses less digits than its factorization.

142131141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437202 (or 4437194 counting only the distinct ones).

The product of its digits is 960, while the sum is 26.

Adding to 142131141152 its reverse (251141131241), we get a palindrome (393272272393).

The spelling of 142131141152 in words is "one hundred forty-two billion, one hundred thirty-one million, one hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 77 88 91 104 112 143 154 176 182 208 224 286 308 352 364 416 572 616 728 1001 1144 1232 1456 2002 2288 2464 2912 4004 4576 8008 16016 32032 4437161 8874322 17748644 31060127 35497288 48808771 57683093 62120254 70994576 97617542 115366186 124240508 141989152 195235084 230732372 248481016 341661397 390470168 403781651 461464744 496962032 634514023 683322794 780940336 807563302 922929488 993924064 1269028046 1366645588 1561880672 1615126604 1845858976 2538056092 2733291176 3230253208 4441598161 5076112184 5466582352 6460506416 8883196322 10152224368 10933164704 12921012832 17766392644 20304448736 35532785288 71065570576 142131141152