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1145040414 = 237472512311
BaseRepresentation
bin100010000111111…
…1110111000011110
32221210121002011020
41010033332320132
54321112243124
6305342105010
740242453150
oct10417767036
92853532136
101145040414
115383888a1
1227b57b166
131532c080b
14ac104ad0
156a7d1379
hex443fee1e

1145040414 has 64 divisors (see below), whose sum is σ = 2684731392. Its totient is φ = 318780000.

The previous prime is 1145040409. The next prime is 1145040419. The reversal of 1145040414 is 4140405411.

It is an interprime number because it is at equal distance from previous prime (1145040409) and next prime (1145040419).

It is a super-2 number, since 2×11450404142 = 2622235099386582792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145040419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494319 + ... + 496629.

It is an arithmetic number, because the mean of its divisors is an integer number (41948928).

Almost surely, 21145040414 is an apocalyptic number.

1145040414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145040414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342365696).

1145040414 is an abundant number, since it is smaller than the sum of its proper divisors (1539690978).

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

1145040414 is a wasteful number, since it uses less digits than its factorization.

1145040414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1145040414 is about 33838.4457976427. The cubic root of 1145040414 is about 1046.1812650239.

Adding to 1145040414 its reverse (4140405411), we get a palindrome (5285445825).

The spelling of 1145040414 in words is "one billion, one hundred forty-five million, forty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 251 282 329 502 658 753 987 1506 1757 1974 2311 3514 4622 5271 6933 10542 11797 13866 16177 23594 32354 35391 48531 70782 82579 97062 108617 165158 217234 247737 325851 495474 580061 651702 760319 1160122 1520638 1740183 2280957 3480366 4060427 4561914 8120854 12181281 24362562 27262867 54525734 81788601 163577202 190840069 381680138 572520207 1145040414