Search a number
-
+
342402300033312 = 2538342972176209
BaseRepresentation
bin100110111011010011011111…
…1011101101011100100100000
31122220100100012000012121200110
41031312212333131223210200
5324334404402302031222
63212121240051251320
7132056515122103311
oct11566467735534440
91586310160177613
10342402300033312
119a110aaaa60852
123249ba395a9b40
131190952422931c
14607a507200608
15298ba09d2d30c
hex13769bf76b920

342402300033312 has 48 divisors (see below), whose sum is σ = 909635026013280. Its totient is φ = 112758990369792.

The previous prime is 342402300033253. The next prime is 342402300033319. The reversal of 342402300033312 is 213330003204243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 342402300033312.

It is not an unprimeable number, because it can be changed into a prime (342402300033319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21486080137 + ... + 21486096072.

It is an arithmetic number, because the mean of its divisors is an integer number (18950729708610).

Almost surely, 2342402300033312 is an apocalyptic number.

342402300033312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342402300033312 is an abundant number, since it is smaller than the sum of its proper divisors (567232725979968).

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

342402300033312 is a wasteful number, since it uses less digits than its factorization.

342402300033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42972176305 (or 42972176297 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 342402300033312 its reverse (213330003204243), we get a palindrome (555732303237555).

The spelling of 342402300033312 in words is "three hundred forty-two trillion, four hundred two billion, three hundred million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 42972176209 85944352418 128916528627 171888704836 257833057254 343777409672 515666114508 687554819344 1031332229016 1375109638688 2062664458032 3566690625347 4125328916064 7133381250694 10700071876041 14266762501388 21400143752082 28533525002776 42800287504164 57067050005552 85600575008328 114134100011104 171201150016656 342402300033312