Search a number
-
+
1011744142434 = 2322337151437413
BaseRepresentation
bin11101011100100001010…
…01100111010001100010
310120201111012002200020100
432232100221213101202
5113034023000024214
62052442220123230
7133044651213234
oct16562051472142
93521435080210
101011744142434
11360095212a33
121440bb096516
137453a41974c
1436d7c0a2254
151b4b77e7309
hexeb90a67462

1011744142434 has 96 divisors (see below), whose sum is σ = 2364807055104. Its totient is φ = 311787273600.

The previous prime is 1011744142393. The next prime is 1011744142447. The reversal of 1011744142434 is 4342414471101.

1011744142434 is a `hidden beast` number, since 1 + 0 + 11 + 74 + 4 + 142 + 434 = 666.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2094312 + ... + 2531724.

It is an arithmetic number, because the mean of its divisors is an integer number (24633406824).

Almost surely, 21011744142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011744142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182403527552).

1011744142434 is an abundant number, since it is smaller than the sum of its proper divisors (1353062912670).

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

1011744142434 is a wasteful number, since it uses less digits than its factorization.

1011744142434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437632 (or 437629 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1011744142434 in words is "one trillion, eleven billion, seven hundred forty-four million, one hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 151 207 222 302 333 414 453 666 851 906 1359 1702 2553 2718 3473 5106 5587 6946 7659 10419 11174 15318 16761 20838 31257 33522 50283 62514 100566 128501 257002 385503 437413 771006 874826 1156509 1312239 2313018 2624478 3936717 7873434 10060499 16184281 20120998 30181497 32368562 48552843 60362994 66049363 90544491 97105686 132098726 145658529 181088982 198148089 291317058 372238463 396296178 594444267 744476926 1116715389 1188888534 1519135349 2233430778 2443826431 3038270698 3350146167 4557406047 4887652862 6700292334 7331479293 9114812094 13672218141 14662958586 21994437879 27344436282 43988875758 56208007913 112416015826 168624023739 337248047478 505872071217 1011744142434