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1141452004 = 2271123269599
BaseRepresentation
bin100010000001001…
…0010110011100100
32221112211202210011
41010002102303210
54314202431004
6305133140004
740200116260
oct10402226344
92845752704
101141452004
11536357870
1227a32a604
131526353b4
14ab84d0a0
156a323004
hex44092ce4

1141452004 has 96 divisors (see below), whose sum is σ = 2612736000. Its totient is φ = 423096960.

The previous prime is 1141452001. The next prime is 1141452007. The reversal of 1141452004 is 4002541411.

It is an interprime number because it is at equal distance from previous prime (1141452001) and next prime (1141452007).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1141452001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905297 + ... + 1905895.

It is an arithmetic number, because the mean of its divisors is an integer number (27216000).

Almost surely, 21141452004 is an apocalyptic number.

1141452004 is a gapful number since it is divisible by the number (14) 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 1141452004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368000).

1141452004 is an abundant number, since it is smaller than the sum of its proper divisors (1471283996).

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

1141452004 is a wasteful number, since it uses less digits than its factorization.

1141452004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1141452004 is about 33785.3815133113. The cubic root of 1141452004 is about 1045.0872553684.

Adding to 1141452004 its reverse (4002541411), we get a palindrome (5143993415).

The spelling of 1141452004 in words is "one billion, one hundred forty-one million, four hundred fifty-two thousand, four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 269 308 322 506 538 599 644 1012 1076 1198 1771 1883 2396 2959 3542 3766 4193 5918 6187 6589 7084 7532 8386 11836 12374 13178 13777 16772 20713 24748 26356 27554 41426 43309 46123 55108 68057 82852 86618 92246 96439 136114 151547 161131 173236 184492 192878 272228 303094 322262 385756 476399 606188 644524 952798 1060829 1127917 1772441 1905596 2121658 2255834 3544882 3706013 4243316 4511668 7089764 7412026 12407087 14824052 24814174 25942091 40766143 49628348 51884182 81532286 103768364 163064572 285363001 570726002 1141452004