Search a number
-
+
141503151252 = 223234183150659
BaseRepresentation
bin1000001111001000111…
…1101011110010010100
3111112020121010212121210
42003302033223302110
54304244301320002
6145001115341420
713136402640321
oct2036217536224
9445217125553
10141503151252
1155013926a01
1223511151870
13104611186c8
146bc5111b48
153a32b8e96c
hex20f23ebc94

141503151252 has 96 divisors (see below), whose sum is σ = 357187138560. Its totient is φ = 43485925120.

The previous prime is 141503151233. The next prime is 141503151259. The reversal of 141503151252 is 252151305141.

141503151252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141503151259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863899 + ... + 1014557.

It is an arithmetic number, because the mean of its divisors is an integer number (3720699360).

Almost surely, 2141503151252 is an apocalyptic number.

141503151252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141503151252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178593569280).

141503151252 is an abundant number, since it is smaller than the sum of its proper divisors (215683987308).

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

141503151252 is a wasteful number, since it uses less digits than its factorization.

141503151252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150813 (or 150811 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 141503151252 its reverse (252151305141), we get a palindrome (393654456393).

The spelling of 141503151252 in words is "one hundred forty-one billion, five hundred three million, one hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 83 92 123 138 164 166 246 249 276 332 492 498 943 996 1886 1909 2829 3403 3772 3818 5658 5727 6806 7636 10209 11316 11454 13612 20418 22908 40836 78269 150659 156538 234807 301318 313076 451977 469614 602636 903954 939228 1807908 3465157 6177019 6930314 10395471 12354038 12504697 13860628 18531057 20790942 24708076 25009394 37062114 37514091 41581884 50018788 74124228 75028182 142071437 150056364 284142874 287608031 426214311 512692577 568285748 575216062 852428622 862824093 1025385154 1150432124 1538077731 1704857244 1725648186 2050770308 3076155462 3451296372 6152310924 11791929271 23583858542 35375787813 47167717084 70751575626 141503151252