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1440132672 = 263112321289
BaseRepresentation
bin101010111010110…
…1010111001000000
310201100212022122010
41111311222321000
510422133221142
6354523012520
750454632346
oct12565527100
93640768563
101440132672
11679a0aaa0
1234236a140
1319c490814
14d939b996
1586670e9c
hex55d6ae40

1440132672 has 168 divisors, whose sum is σ = 4348703520. Its totient is φ = 417105920.

The previous prime is 1440132671. The next prime is 1440132677. The reversal of 1440132672 is 2762310441.

It is a super-2 number, since 2×14401326722 = 4147964225923719168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1440132671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1116604 + ... + 1117892.

It is an arithmetic number, because the mean of its divisors is an integer number (25885140).

Almost surely, 21440132672 is an apocalyptic number.

1440132672 is a gapful number since it is divisible by the number (12) 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 1440132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174351760).

1440132672 is an abundant number, since it is smaller than the sum of its proper divisors (2908570848).

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

1440132672 is a wasteful number, since it uses less digits than its factorization.

1440132672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 1440132672 is about 37949.0799888482. The cubic root of 1440132672 is about 1129.2779139067.

The spelling of 1440132672 in words is "one billion, four hundred forty million, one hundred thirty-two thousand, six hundred seventy-two".