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147092042240 = 29511134783103
BaseRepresentation
bin1000100011111101011…
…1100111001000000000
3112001200002121221202022
42020333113213020000
54402221030322430
6151323444541012
713425035505203
oct2107727471000
9461602557668
10147092042240
1157421694480
12246109b1768
1310b41c835b0
1471954a793a
153c5d66c4e5
hex223f5e7200

147092042240 has 640 divisors, whose sum is σ = 432404324352. Its totient is φ = 47277342720.

The previous prime is 147092042233. The next prime is 147092042243. The reversal of 147092042240 is 42240290741.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 147092042240.

It is not an unprimeable number, because it can be changed into a prime (147092042243) 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 63 ways as a sum of consecutive naturals, for example, 1428078029 + ... + 1428078131.

Almost surely, 2147092042240 is an apocalyptic number.

147092042240 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 147092042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216202162176).

147092042240 is an abundant number, since it is smaller than the sum of its proper divisors (285312282112).

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

147092042240 is a wasteful number, since it uses less digits than its factorization.

147092042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 147092042240 in words is "one hundred forty-seven billion, ninety-two million, forty-two thousand, two hundred forty".