Search a number
-
+
151044251043 = 37414347611423
BaseRepresentation
bin1000110010101011110…
…0000101110110100011
3112102212112101222000010
42030222330011312203
54433314312013133
6153215550300003
713625005643640
oct2145274056643
9472775358003
10151044251043
115906a5a6444
12253344b7603
1311321a1109a
14744c33adc7
153de0602263
hex232af05da3

151044251043 has 128 divisors (see below), whose sum is σ = 250607960064. Its totient is φ = 79122355200.

The previous prime is 151044251011. The next prime is 151044251051. The reversal of 151044251043 is 340152440151.

151044251043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151044251043 - 25 = 151044251011 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 151044251043.

It is not an unprimeable number, because it can be changed into a prime (151044251093) 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 127 ways as a sum of consecutive naturals, for example, 106144230 + ... + 106145652.

It is an arithmetic number, because the mean of its divisors is an integer number (1957874688).

Almost surely, 2151044251043 is an apocalyptic number.

151044251043 is a deficient number, since it is larger than the sum of its proper divisors (99563709021).

151044251043 is a wasteful number, since it uses less digits than its factorization.

151044251043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625.

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 151044251043 its reverse (340152440151), we get a palindrome (491196691194).

The spelling of 151044251043 in words is "one hundred fifty-one billion, forty-four million, two hundred fifty-one thousand, forty-three".

Divisors: 1 3 7 21 41 43 47 61 123 129 141 183 287 301 329 427 861 903 987 1281 1423 1763 1927 2021 2501 2623 2867 4269 5289 5781 6063 7503 7869 8601 9961 12341 13489 14147 17507 18361 20069 29883 37023 40467 42441 52521 55083 58343 60207 61189 66881 82861 86803 107543 117547 123281 175029 183567 200643 248583 260409 322629 352641 369843 408401 428323 468167 580027 607621 752801 822829 862967 1225203 1284969 1404501 1740081 1822863 2258403 2468487 2508749 2588901 2742121 2875883 3558923 3732529 4079741 5054521 7526247 8226363 8627649 10676769 11197587 12239223 15163563 17561243 19194847 20131181 24912461 26127703 28558187 35381647 52683729 57584541 60393543 74737383 78383109 85674561 106144941 117911203 153033689 167269381 175428863 353733609 459101067 501808143 526286589 825378421 1071235823 1170885667 1228002041 2476135263 3213707469 3512657001 3684006123 7192583383 21577750149 50348083681 151044251043