Search a number
-
+
142144414431030 = 23351147860072199
BaseRepresentation
bin100000010100011110010011…
…010101000011011100110110
3200122021212120122022121021000
4200110132103111003130312
5122112343230043243110
61222152124214304130
741640411046144554
oct4024362325033466
9618255518277230
10142144414431030
1141323120281580
1213b38658958046
13614121228040b
142715b7d79cbd4
151167780a251c0
hex814793543736

142144414431030 has 64 divisors (see below), whose sum is σ = 413511023808000. Its totient is φ = 34459251982560.

The previous prime is 142144414431029. The next prime is 142144414431031. The reversal of 142144414431030 is 30134414441241.

142144414431030 is a `hidden beast` number, since 1 + 4 + 2 + 144 + 41 + 443 + 1 + 0 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (142144414431029) and next prime (142144414431031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142144414431031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23930033130 + ... + 23930039069.

It is an arithmetic number, because the mean of its divisors is an integer number (6461109747000).

Almost surely, 2142144414431030 is an apocalyptic number.

142144414431030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142144414431030 is an abundant number, since it is smaller than the sum of its proper divisors (271366609376970).

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

142144414431030 is a wasteful number, since it uses less digits than its factorization.

142144414431030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47860072226 (or 47860072220 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 142144414431030 its reverse (30134414441241), we get a palindrome (172278828872271).

The spelling of 142144414431030 in words is "one hundred forty-two trillion, one hundred forty-four billion, four hundred fourteen million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 47860072199 95720144398 143580216597 239300360995 287160433194 430740649791 478600721990 526460794189 717901082985 861481299582 1052921588378 1292221949373 1435802165970 1579382382567 2153703248955 2584443898746 2632303970945 3158764765134 4307406497910 4738147147701 5264607941890 6461109746865 7896911912835 9476294295402 12922219493730 14214441443103 15793823825670 23690735738505 28428882886206 47381471477010 71072207215515 142144414431030