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149811223840 = 2552655735257
BaseRepresentation
bin1000101110000101110…
…0011101110100100000
3112022200121020200122221
42023201130131310200
54423303133130330
6152453342240424
713552314251305
oct2134134356440
9468617220587
10149811223840
11585975918a3
122504b586114
1311186424aa5
1473726910ac
153d6c240b7a
hex22e171dd20

149811223840 has 48 divisors (see below), whose sum is σ = 353952382392. Its totient is φ = 59920533504.

The previous prime is 149811223819. The next prime is 149811223847. The reversal of 149811223840 is 48322118941.

It can be written as a sum of positive squares in 4 ways, for example, as 70239840784 + 79571383056 = 265028^2 + 282084^2 .

It is not an unprimeable number, because it can be changed into a prime (149811223847) 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 7 ways as a sum of consecutive naturals, for example, 4231492 + ... + 4266748.

Almost surely, 2149811223840 is an apocalyptic number.

149811223840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149811223840 is an abundant number, since it is smaller than the sum of its proper divisors (204141158552).

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

149811223840 is a wasteful number, since it uses less digits than its factorization.

149811223840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61829 (or 61821 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 149811223840 in words is "one hundred forty-nine billion, eight hundred eleven million, two hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 26557 35257 53114 70514 106228 132785 141028 176285 212456 265570 282056 352570 424912 531140 564112 705140 849824 1062280 1128224 1410280 2124560 2820560 4249120 5641120 936320149 1872640298 3745280596 4681600745 7490561192 9363201490 14981122384 18726402980 29962244768 37452805960 74905611920 149811223840