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1144055000 = 23541123161
BaseRepresentation
bin100010000110000…
…1110010011011000
32221201202000102102
41010030032103120
54320334230000
6305305022532
740231210214
oct10414162330
92851660372
101144055000
11537875500
1227b184a48
1315303712a
14abd29944
156a6893d5
hex4430e4d8

1144055000 has 240 divisors, whose sum is σ = 3091260480. Its totient is φ = 396000000.

The previous prime is 1144054991. The next prime is 1144055009. The reversal of 1144055000 is 5504411.

It is an interprime number because it is at equal distance from previous prime (1144054991) and next prime (1144055009).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144055009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18754970 + ... + 18755030.

It is an arithmetic number, because the mean of its divisors is an integer number (12880252).

Almost surely, 21144055000 is an apocalyptic number.

1144055000 is a gapful number since it is divisible by the number (10) 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 1144055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545630240).

1144055000 is an abundant number, since it is smaller than the sum of its proper divisors (1947205480).

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

1144055000 is a wasteful number, since it uses less digits than its factorization.

1144055000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1144055000 is about 33823.8820953480. The cubic root of 1144055000 is about 1045.8810667285.

Adding to 1144055000 its reverse (5504411), we get a palindrome (1149559411).

The spelling of 1144055000 in words is "one billion, one hundred forty-four million, fifty-five thousand".