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145774549120 = 275227772733
BaseRepresentation
bin1000011111000011010…
…1110001100010000000
3111221021021112100221211
42013300311301202000
54342021241032440
6150545022255504
713350300136324
oct2076065614200
9457237470854
10145774549120
1156905a29392
1224303727594
1310992032275
1470ac511984
153bd2b73eea
hex21f0d71880

145774549120 has 32 divisors (see below), whose sum is σ = 348492283020. Its totient is φ = 58309819392.

The previous prime is 145774549111. The next prime is 145774549133. The reversal of 145774549120 is 21945477541.

It can be written as a sum of positive squares in 2 ways, for example, as 125934136384 + 19840412736 = 354872^2 + 140856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1457745491202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113885727 + ... + 113887006.

Almost surely, 2145774549120 is an apocalyptic number.

145774549120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145774549120 is an abundant number, since it is smaller than the sum of its proper divisors (202717733900).

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

145774549120 is an equidigital number, since it uses as much as digits as its factorization.

145774549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227772752 (or 227772740 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 49.

The spelling of 145774549120 in words is "one hundred forty-five billion, seven hundred seventy-four million, five hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 227772733 455545466 911090932 1138863665 1822181864 2277727330 3644363728 4555454660 7288727456 9110909320 14577454912 18221818640 29154909824 36443637280 72887274560 145774549120