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148226540004 = 22347322932
BaseRepresentation
bin1000101000001011111…
…1011000000111100100
3112011121011101102010000
42022002333120013210
54412031443240004
6152032213101300
713465122541644
oct2120277300744
9464534342100
10148226540004
1157954021434
1224888927830
1310c9302254a
147262026524
153cc8069c39
hex2282fd81e4

148226540004 has 135 divisors (see below), whose sum is σ = 394219742763. Its totient is φ = 48565692288.

The previous prime is 148226539921. The next prime is 148226540009. The reversal of 148226540004 is 400045622841.

The square root of 148226540004 is 385002.

It is a perfect power (a square), and thus also a powerful number.

148226540004 is a `hidden beast` number, since 14 + 82 + 26 + 540 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49906666404 + 98319873600 = 223398^2 + 313560^2 .

It is a super-2 number, since 2×1482265400042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (148226540009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 505892482 + ... + 505892774.

Almost surely, 2148226540004 is an apocalyptic number.

148226540004 is the 385002-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148226540004

148226540004 is an abundant number, since it is smaller than the sum of its proper divisors (245993202759).

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

148226540004 is an frugal number, since it uses more digits than its factorization.

148226540004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Multiplying 148226540004 by its sum of digits (36), we get a square (5336155440144 = 23100122).

148226540004 divided by its sum of digits (36) gives a square (4117403889 = 641672).

The spelling of 148226540004 in words is "one hundred forty-eight billion, two hundred twenty-six million, five hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 293 324 438 586 657 876 879 1172 1314 1758 1971 2628 2637 3516 3942 5274 5329 5913 7884 7911 10548 10658 11826 15822 15987 21316 21389 23652 23733 31644 31974 42778 47466 47961 63948 64167 85556 85849 94932 95922 128334 143883 171698 191844 192501 256668 257547 287766 343396 385002 431649 515094 575532 577503 770004 772641 863298 1030188 1155006 1545282 1561397 1726596 1732509 2310012 2317923 3090564 3122794 3465018 4635846 4684191 6245588 6266977 6930036 6953769 9271692 9368382 12533954 13907538 14052573 18736764 18800931 25067908 27815076 28105146 37601862 42157719 56210292 56402793 75203724 84315438 112805586 126473157 168630876 169208379 225611172 252946314 338416758 457489321 505892628 507625137 676833516 914978642 1015250274 1372467963 1829957284 2030500548 2744935926 4117403889 5489871852 8234807778 12352211667 16469615556 24704423334 37056635001 49408846668 74113270002 148226540004