Search a number
-
+
154200540316540 = 225177335569111103
BaseRepresentation
bin100011000011111010011100…
…011011100000001101111100
3202012222102112210011002210211
4203003322130123200031330
5130202410201310112130
61303542430021042204
744323423065264424
oct4303723433401574
9665872483132724
10154200540316540
114515109a010923
1215365120b56364
1368070828b3533
142a114bb4c9484
1512c619aedca2a
hex8c3e9c6e037c

154200540316540 has 96 divisors (see below), whose sum is σ = 343401940869120. Its totient is φ = 57961838739456.

The previous prime is 154200540316397. The next prime is 154200540316541. The reversal of 154200540316540 is 45613045002451.

154200540316540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154200540316493 and 154200540316502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154200540316541) 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, 1387850629 + ... + 1387961731.

It is an arithmetic number, because the mean of its divisors is an integer number (3577103550720).

Almost surely, 2154200540316540 is an apocalyptic number.

154200540316540 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 154200540316540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171700970434560).

154200540316540 is an abundant number, since it is smaller than the sum of its proper divisors (189201400552580).

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

154200540316540 is a wasteful number, since it uses less digits than its factorization.

154200540316540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117431 (or 117429 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 154200540316540 its reverse (45613045002451), we get a palindrome (199813585318991).

The spelling of 154200540316540 in words is "one hundred fifty-four trillion, two hundred billion, five hundred forty million, three hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 733 1466 2932 3665 5569 7330 11138 12461 14660 22276 24922 27845 49844 55690 62305 94673 111103 111380 124610 189346 222206 249220 378692 444412 473365 555515 946730 1111030 1888751 1893460 2222060 3777502 4082077 7555004 8164154 9443755 16328308 18887510 20410385 37775020 40820770 69395309 81438499 81641540 138790618 162876998 277581236 325753996 346976545 407192495 618732607 693953090 814384990 1237465214 1384454483 1387906180 1628769980 2474930428 2768908966 3093663035 5537817932 6187326070 6922272415 10518454319 12374652140 13844544830 21036908638 27689089660 42073817276 52592271595 105184543190 210369086380 453531000931 907062001862 1814124003724 2267655004655 4535310009310 7710027015827 9070620018620 15420054031654 30840108063308 38550135079135 77100270158270 154200540316540