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148110571400 = 235211290923143
BaseRepresentation
bin1000100111110000010…
…0111111011110001000
3112011022002011121002112
42021330010333132020
54411312301241100
6152012511321452
713462214041031
oct2117404773610
9464262147075
10148110571400
11578a4613510
1224855b20288
1310c74caa57c
147250879a88
153cbccadb35
hex227c13f788

148110571400 has 96 divisors (see below), whose sum is σ = 375807643200. Its totient is φ = 53837548800.

The previous prime is 148110571393. The next prime is 148110571409. The reversal of 148110571400 is 4175011841.

148110571400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (148110571409) 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 23 ways as a sum of consecutive naturals, for example, 6388229 + ... + 6411371.

It is an arithmetic number, because the mean of its divisors is an integer number (3914662950).

Almost surely, 2148110571400 is an apocalyptic number.

148110571400 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 148110571400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187903821600).

148110571400 is an abundant number, since it is smaller than the sum of its proper divisors (227697071800).

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

148110571400 is a wasteful number, since it uses less digits than its factorization.

148110571400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26079 (or 26070 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 148110571400 in words is "one hundred forty-eight billion, one hundred ten million, five hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 2909 5818 11636 14545 23143 23272 29090 31999 46286 58180 63998 72725 92572 115715 116360 127996 145450 159995 185144 231430 254573 255992 290900 319990 462860 509146 578575 581800 639980 799975 925720 1018292 1157150 1272865 1279960 1599950 2036584 2314300 2545730 3199900 4628600 5091460 6364325 6399800 10182920 12728650 25457300 50914600 67322987 134645974 269291948 336614935 538583896 673229870 740552857 1346459740 1481105714 1683074675 2692919480 2962211428 3366149350 3702764285 5924422856 6732298700 7405528570 13464597400 14811057140 18513821425 29622114280 37027642850 74055285700 148110571400