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2018146144 = 257426267
BaseRepresentation
bin111100001001010…
…0111011101100000
312012122111110001111
41320102213131200
513113121134034
6532131513104
7101003650000
oct17022473540
95178443044
102018146144
11946211083
12483a58794
1326215ba21
14152060000
15bc299364
hex784a7760

2018146144 has 60 divisors (see below), whose sum is σ = 4635330084. Its totient is φ = 864886848.

The previous prime is 2018146099. The next prime is 2018146147. The reversal of 2018146144 is 4416418102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018146147) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 63699 + ... + 89965.

Almost surely, 22018146144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2018146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317665042).

2018146144 is an abundant number, since it is smaller than the sum of its proper divisors (2617183940).

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

2018146144 is an frugal number, since it uses more digits than its factorization.

2018146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26305 (or 26276 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2018146144 is about 44923.7814971091. The cubic root of 2018146144 is about 1263.7200349343.

The spelling of 2018146144 in words is "two billion, eighteen million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2401 2744 4802 5488 9604 10976 19208 26267 38416 52534 76832 105068 183869 210136 367738 420272 735476 840544 1287083 1470952 2574166 2941904 5148332 5883808 9009581 10296664 18019162 20593328 36038324 41186656 63067067 72076648 126134134 144153296 252268268 288306592 504536536 1009073072 2018146144