Search a number
-
+
155411561340 = 223257192595791
BaseRepresentation
bin1001000010111101000…
…0000011101101111100
3112212010220021022110100
42100233100003231330
510021240324430330
6155221201041100
714141146322010
oct2205720035574
9485126238410
10155411561340
115aa008582a2
1226153026190
1311869769a69
147744386540
154098c30060
hex242f403b7c

155411561340 has 432 divisors, whose sum is σ = 578345564160. Its totient is φ = 33076926720.

The previous prime is 155411561323. The next prime is 155411561341. The reversal of 155411561340 is 43165114551.

155411561340 is a `hidden beast` number, since 1 + 5 + 54 + 1 + 1 + 561 + 3 + 40 = 666.

155411561340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155411561295 and 155411561304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155411561341) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26833845 + ... + 26839635.

It is an arithmetic number, because the mean of its divisors is an integer number (1338762880).

Almost surely, 2155411561340 is an apocalyptic number.

155411561340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155411561340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289172782080).

155411561340 is an abundant number, since it is smaller than the sum of its proper divisors (422934002820).

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

155411561340 is a wasteful number, since it uses less digits than its factorization.

155411561340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 155411561340 its reverse (43165114551), we get a palindrome (198576675891).

The spelling of 155411561340 in words is "one hundred fifty-five billion, four hundred eleven million, five hundred sixty-one thousand, three hundred forty".