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148491382914 = 23272541311197
BaseRepresentation
bin1000101001001011000…
…1101011000010000010
3112012021121201211021200
42022102301223002002
54413102243223124
6152114353402030
713504516633500
oct2122261530202
9465247654250
10148491382914
1157a7a572876
1224941569316
1311005b60c24
147289287670
153ce1431bc9
hex2292c6b082

148491382914 has 72 divisors (see below), whose sum is σ = 374951889468. Its totient is φ = 42347551680.

The previous prime is 148491382901. The next prime is 148491382939. The reversal of 148491382914 is 419283194841.

148491382914 is a `hidden beast` number, since 1 + 484 + 9 + 138 + 29 + 1 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128606152689 + 19885230225 = 358617^2 + 141015^2 .

It is a super-2 number, since 2×1484913829142 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321564 + ... + 632760.

Almost surely, 2148491382914 is an apocalyptic number.

148491382914 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148491382914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187475944734).

148491382914 is an abundant number, since it is smaller than the sum of its proper divisors (226460506554).

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

148491382914 is a wasteful number, since it uses less digits than its factorization.

148491382914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311760 (or 311750 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 148491382914 in words is "one hundred forty-eight billion, four hundred ninety-one million, three hundred eighty-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 541 882 1082 1623 3246 3787 4869 7574 9738 11361 22722 26509 34083 53018 68166 79527 159054 238581 311197 477162 622394 933591 1867182 2178379 2800773 4356758 5601546 6535137 13070274 15248653 19605411 30497306 39210822 45745959 91491918 137237877 168357577 274475754 336715154 505072731 1010145462 1178503039 1515218193 2357006078 3030436386 3535509117 7071018234 8249521273 10606527351 16499042546 21213054702 24748563819 49497127638 74245691457 148491382914