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1144337472 = 263219313373
BaseRepresentation
bin100010000110101…
…0011010001000000
32221202021100220100
41010031103101000
54320422244342
6305315042400
740233464565
oct10415232100
92852240810
101144337472
11537a48753
1227b2a0400
13153105885
14abda086c
156a6e2e4c
hex44353440

1144337472 has 168 divisors, whose sum is σ = 3565103360. Its totient is φ = 349608960.

The previous prime is 1144337471. The next prime is 1144337479. The reversal of 1144337472 is 2747334411.

1144337472 is a `hidden beast` number, since 114 + 43 + 37 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1144337471) 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, 337578 + ... + 340950.

Almost surely, 21144337472 is an apocalyptic number.

1144337472 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 1144337472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782551680).

1144337472 is an abundant number, since it is smaller than the sum of its proper divisors (2420765888).

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

1144337472 is a wasteful number, since it uses less digits than its factorization.

1144337472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3441 (or 3428 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 1144337472 is about 33828.0574671381. The cubic root of 1144337472 is about 1045.9671371260.

The spelling of 1144337472 in words is "one billion, one hundred forty-four million, three hundred thirty-seven thousand, four hundred seventy-two".