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153454542254240 = 2554157230717077
BaseRepresentation
bin100010111001000011101011…
…011110101111000010100000
3202010100002222220012000220212
4202321003223132233002200
5130103144400304113430
61302212013221353252
744215503416342123
oct4271035336570240
9663302886160825
10153454542254240
1144993784607207
1215264627868828
136781916826266
1429c734d1903ba
1512b1a88a99b95
hex8b90eb7af0a0

153454542254240 has 48 divisors (see below), whose sum is σ = 362623568702472. Its totient is φ = 61367050742784.

The previous prime is 153454542254231. The next prime is 153454542254243. The reversal of 153454542254240 is 42452245454351.

It can be written as a sum of positive squares in 4 ways, for example, as 128596779362704 + 24857762891536 = 11340052^2 + 4985756^2 .

It is not an unprimeable number, because it can be changed into a prime (153454542254243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114693419 + ... + 116023658.

Almost surely, 2153454542254240 is an apocalyptic number.

153454542254240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153454542254240 is an abundant number, since it is smaller than the sum of its proper divisors (209169026448232).

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

153454542254240 is a wasteful number, since it uses less digits than its factorization.

153454542254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230721249 (or 230721241 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 50.

The spelling of 153454542254240 in words is "one hundred fifty-three trillion, four hundred fifty-four billion, five hundred forty-two million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 4157 8314 16628 20785 33256 41570 66512 83140 133024 166280 332560 665120 230717077 461434154 922868308 1153585385 1845736616 2307170770 3691473232 4614341540 7382946464 9228683080 18457366160 36914732320 959090889089 1918181778178 3836363556356 4795454445445 7672727112712 9590908890890 15345454225424 19181817781780 30690908450848 38363635563560 76727271127120 153454542254240