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155411330000 = 245419778889
BaseRepresentation
bin1001000010111100111…
…1001011001111010000
3112212010212211120010012
42100233033023033100
510021240300030000
6155221152054052
714141144336363
oct2205717131720
9485125746105
10155411330000
115aa0070a503
1226152b34328
13118696b8684
1477443260da
154098bd6735
hex242f3cb3d0

155411330000 has 100 divisors (see below), whose sum is σ = 378181146420. Its totient is φ = 61848192000.

The previous prime is 155411329999. The next prime is 155411330003. The reversal of 155411330000 is 33114551.

155411330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 124405754944 + 31005575056 = 352712^2 + 176084^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155411330003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1930556 + ... + 2009444.

Almost surely, 2155411330000 is an apocalyptic number.

155411330000 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 155411330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189090573210).

155411330000 is an abundant number, since it is smaller than the sum of its proper divisors (222769816420).

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

155411330000 is an equidigital number, since it uses as much as digits as its factorization.

155411330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79114 (or 79093 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 155411330000 its reverse (33114551), we get a palindrome (155444444551).

The spelling of 155411330000 in words is "one hundred fifty-five billion, four hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 625 788 985 1000 1250 1576 1970 2000 2500 3152 3940 4925 5000 7880 9850 10000 15760 19700 24625 39400 49250 78800 78889 98500 123125 157778 197000 246250 315556 394000 394445 492500 631112 788890 985000 1262224 1577780 1970000 1972225 3155560 3944450 6311120 7888900 9861125 15541133 15777800 19722250 31082266 31555600 39444500 49305625 62164532 77705665 78889000 98611250 124329064 155411330 157778000 197222500 248658128 310822660 388528325 394445000 621645320 777056650 788890000 1243290640 1554113300 1942641625 3108226600 3885283250 6216453200 7770566500 9713208125 15541133000 19426416250 31082266000 38852832500 77705665000 155411330000