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155433145231300 = 225219312976209353
BaseRepresentation
bin100011010101110110011001…
…011010000110011111000100
3202101100021010010202111102211
4203111312121122012133010
5130333104040134400200
61310325000130113204
744511450144220126
oct4325663132063704
9671307103674384
10155433145231300
1145586910392a62
1215523b99a1b804
13689638a1372c1
142a5500bdbd216
1512e828d353aba
hex8d5d996867c4

155433145231300 has 72 divisors (see below), whose sum is σ = 339298997330216. Its totient is φ = 61803419074560.

The previous prime is 155433145231291. The next prime is 155433145231319. The reversal of 155433145231300 is 3132541334551.

155433145231300 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 12 ways, for example, as 50337350593924 + 105095794637376 = 7094882^2 + 10251624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21927424 + ... + 28136776.

Almost surely, 2155433145231300 is an apocalyptic number.

155433145231300 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 155433145231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169649498665108).

155433145231300 is an abundant number, since it is smaller than the sum of its proper divisors (183865852098916).

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

155433145231300 is a wasteful number, since it uses less digits than its factorization.

155433145231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210857 (or 6210850 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

Adding to 155433145231300 its reverse (3132541334551), we get a palindrome (158565686565851).

The spelling of 155433145231300 in words is "one hundred fifty-five trillion, four hundred thirty-three billion, one hundred forty-five million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 772 965 1297 1930 2594 3860 4825 5188 6485 9650 12970 19300 25940 32425 64850 129700 250321 500642 1001284 1251605 2503210 5006420 6209353 6258025 12418706 12516050 24837412 25032100 31046765 62093530 124187060 155233825 310467650 620935300 1198405129 2396810258 4793620516 5992025645 8053530841 11984051290 16107061682 23968102580 29960128225 32214123364 40267654205 59920256450 80535308410 119840512900 161070616820 201338271025 402676542050 805353084100 1554331452313 3108662904626 6217325809252 7771657261565 15543314523130 31086629046260 38858286307825 77716572615650 155433145231300