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149887984240 = 24523193422077
BaseRepresentation
bin1000101110011000000…
…1010010001001110000
3112022212221200112010201
42023212001102021300
54423432310443430
6152505123404544
713554235562461
oct2134601221160
9468787615121
10149887984240
1158626950045
1225071223754
13111992bc747
14737c952d68
153d73d548ca
hex22e6052270

149887984240 has 80 divisors (see below), whose sum is σ = 365526301248. Its totient is φ = 57051168768.

The previous prime is 149887984223. The next prime is 149887984241. The reversal of 149887984240 is 42489788941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1498879842403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149887984241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144082 + ... + 566158.

Almost surely, 2149887984240 is an apocalyptic number.

149887984240 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 149887984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182763150624).

149887984240 is an abundant number, since it is smaller than the sum of its proper divisors (215638317008).

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

149887984240 is a wasteful number, since it uses less digits than its factorization.

149887984240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422306 (or 422300 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

The spelling of 149887984240 in words is "one hundred forty-nine billion, eight hundred eighty-seven million, nine hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 193 230 368 386 460 772 920 965 1544 1840 1930 3088 3860 4439 7720 8878 15440 17756 22195 35512 44390 71024 88780 177560 355120 422077 844154 1688308 2110385 3376616 4220770 6753232 8441540 9707771 16883080 19415542 33766160 38831084 48538855 77662168 81460861 97077710 155324336 162921722 194155420 325843444 388310840 407304305 651686888 776621680 814608610 1303373776 1629217220 1873599803 3258434440 3747199606 6516868880 7494399212 9367999015 14988798424 18735998030 29977596848 37471996060 74943992120 149887984240