Search a number
-
+
154400111165340 = 223251137590959251
BaseRepresentation
bin100011000110110100010011…
…110001110111111110011100
3202020200111200012220122112100
4203012310103301313332130
5130214142411424242330
61304214233141005100
744344016455434645
oct4306642361677634
9666614605818470
10154400111165340
11452187a0606407
12153979389b3790
13681cb39025591
142a1b0105b86cc
1512cb47b941060
hex8c6d13c77f9c

154400111165340 has 72 divisors (see below), whose sum is σ = 472491667681488. Its totient is φ = 40808996928000.

The previous prime is 154400111165329. The next prime is 154400111165341. The reversal of 154400111165340 is 43561111004451.

154400111165340 is a `hidden beast` number, since 1 + 5 + 4 + 4 + 0 + 0 + 1 + 1 + 116 + 534 + 0 = 666.

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 = 154400111165295 and 154400111165304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154400111165341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795459286 + ... + 3795499965.

It is an arithmetic number, because the mean of its divisors is an integer number (6562384273354).

Almost surely, 2154400111165340 is an apocalyptic number.

154400111165340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154400111165340 is an abundant number, since it is smaller than the sum of its proper divisors (318091556516148).

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

154400111165340 is a wasteful number, since it uses less digits than its factorization.

154400111165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590959379 (or 7590959374 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 154400111165340 its reverse (43561111004451), we get a palindrome (197961222169791).

It can be divided in two parts, 154400111 and 165340, that added together give a palindrome (154565451).

The spelling of 154400111165340 in words is "one hundred fifty-four trillion, four hundred billion, one hundred eleven million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 20340 7590959251 15181918502 22772877753 30363837004 37954796255 45545755506 68318633259 75909592510 91091511012 113864388765 136637266518 151819185020 227728777530 273274533036 341593166295 455457555060 683186332590 857778395363 1366372665180 1715556790726 2573335186089 3431113581452 4288891976815 5146670372178 7720005558267 8577783953630 10293340744356 12866675930445 15440011116534 17155567907260 25733351860890 30880022233068 38600027791335 51466703721780 77200055582670 154400111165340