Search a number
-
+
20240131241142 = 23271991159710007
BaseRepresentation
bin1001001101000100001011…
…10101010011010010110110
32122122221022112202110122200
410212202011311103102312
510123103242044204032
6111014104332005330
74156205214626631
oct446420565232266
978587275673580
1020240131241142
1164a387847672a
12232a80b000846
13b3a836916b37
144dd8b0110c18
1525175b5b847c
hex126885d534b6

20240131241142 has 96 divisors (see below), whose sum is σ = 44548475572224. Its totient is φ = 6640149700800.

The previous prime is 20240131241123. The next prime is 20240131241147. The reversal of 20240131241142 is 24114213104202.

20240131241142 is a `hidden beast` number, since 2 + 0 + 2 + 401 + 3 + 1 + 241 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20240131241147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2022592303 + ... + 2022602309.

It is an arithmetic number, because the mean of its divisors is an integer number (464046620544).

Almost surely, 220240131241142 is an apocalyptic number.

20240131241142 is an abundant number, since it is smaller than the sum of its proper divisors (24308344331082).

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

20240131241142 is a wasteful number, since it uses less digits than its factorization.

20240131241142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12674 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20240131241142 its reverse (24114213104202), we get a palindrome (44354344345344).

The spelling of 20240131241142 in words is "twenty trillion, two hundred forty billion, one hundred thirty-one million, two hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 991 1278 1597 1982 2973 3194 4791 5946 8919 9582 10007 14373 17838 20014 28746 30021 60042 70361 90063 113387 140722 180126 211083 226774 340161 422166 633249 680322 710497 1020483 1266498 1420994 1582627 2040966 2131491 3165254 4262982 4747881 6394473 9495762 9916937 12788946 14243643 15981179 19833874 28487286 29750811 31962358 47943537 59501622 89252433 95887074 112366517 143830611 178504866 224733034 287661222 337099551 674199102 704102527 1011298653 1134663709 1408205054 2022597306 2112307581 2269327418 3403991127 4224615162 6336922743 6807982254 10211973381 12673845486 15837348389 20423946762 31674696778 47512045167 95024090334 142536135501 285072271002 1124451735619 2248903471238 3373355206857 6746710413714 10120065620571 20240131241142