Search a number
-
+
44144212456152 = 23325311568189847
BaseRepresentation
bin10100000100110001000000…
…00110100011001011011000
312210022010221001210112111100
422002120200012203023120
521241224321342044102
6233515323215431400
712204212510516334
oct1202304006431330
9183263831715440
1044144212456152
111307a5011044a6
124b4b53b525560
131b82a208a2693
14ac883c6a27c4
1551845b638a1c
hex2826201a32d8

44144212456152 has 48 divisors (see below), whose sum is σ = 121813039099440. Its totient is φ = 14437100927808.

The previous prime is 44144212456147. The next prime is 44144212456177. The reversal of 44144212456152 is 25165421244144.

44144212456152 is a `hidden beast` number, since 4 + 4 + 1 + 4 + 4 + 2 + 1 + 24 + 5 + 615 + 2 = 666.

It is a super-2 number, since 2×441442124561522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44144212456098 and 44144212456107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5784091108 + ... + 5784098739.

It is an arithmetic number, because the mean of its divisors is an integer number (2537771647905).

Almost surely, 244144212456152 is an apocalyptic number.

It is an amenable number.

44144212456152 is an abundant number, since it is smaller than the sum of its proper divisors (77668826643288).

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

44144212456152 is a wasteful number, since it uses less digits than its factorization.

44144212456152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568189912 (or 11568189905 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The spelling of 44144212456152 in words is "forty-four trillion, one hundred forty-four billion, two hundred twelve million, four hundred fifty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11568189847 23136379694 34704569541 46272759388 69409139082 92545518776 104113708623 138818278164 208227417246 277636556328 416454834492 613114061891 832909668984 1226228123782 1839342185673 2452456247564 3678684371346 4904912495128 5518026557019 7357368742692 11036053114038 14714737485384 22072106228076 44144212456152