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147936253140 = 2232513439071621
BaseRepresentation
bin1000100111000110110…
…0000001010011010100
3112010211221011022101200
42021301230001103110
54410433140100030
6151543323152500
713454666255364
oct2116154012324
9463757138350
10147936253140
1157815181635
1224807675730
1310c47b45880
1472356609a4
153cac828d60
hex2271b014d4

147936253140 has 288 divisors, whose sum is σ = 495347588736. Its totient is φ = 35507082240.

The previous prime is 147936253093. The next prime is 147936253141. The reversal of 147936253140 is 41352639741.

147936253140 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 3 + 625 + 3 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147936253141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91261530 + ... + 91263150.

Almost surely, 2147936253140 is an apocalyptic number.

147936253140 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 147936253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247673794368).

147936253140 is an abundant number, since it is smaller than the sum of its proper divisors (347411335596).

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

147936253140 is a wasteful number, since it uses less digits than its factorization.

147936253140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 147936253140 in words is "one hundred forty-seven billion, nine hundred thirty-six million, two hundred fifty-three thousand, one hundred forty".