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1145151414 = 2321159611607
BaseRepresentation
bin100010001000001…
…1001111110110110
32221210210201102100
41010100121332312
54321124321124
6305344322530
740243424601
oct10420317666
92853721370
101145151414
11538454230
1227b613446
1315332c1b4
14ac133338
156a8041c9
hex44419fb6

1145151414 has 96 divisors (see below), whose sum is σ = 2799463680. Its totient is φ = 335332800.

The previous prime is 1145151401. The next prime is 1145151419. The reversal of 1145151414 is 4141515411.

It is a happy number.

1145151414 is a `hidden beast` number, since 1 + 1 + 4 + 515 + 141 + 4 = 666.

It is a super-2 number, since 2×11451514142 = 2622743521972398792, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145151419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711799 + ... + 713405.

It is an arithmetic number, because the mean of its divisors is an integer number (29161080).

Almost surely, 21145151414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1145151414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399731840).

1145151414 is an abundant number, since it is smaller than the sum of its proper divisors (1654312266).

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

1145151414 is a wasteful number, since it uses less digits than its factorization.

1145151414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1743 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 1145151414 is about 33840.0859041463. The cubic root of 1145151414 is about 1046.2150694692.

Adding to 1145151414 its reverse (4141515411), we get a palindrome (5286666825).

The spelling of 1145151414 in words is "one billion, one hundred forty-five million, one hundred fifty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 59 61 66 99 118 122 177 183 198 354 366 531 549 649 671 1062 1098 1298 1342 1607 1947 2013 3214 3599 3894 4026 4821 5841 6039 7198 9642 10797 11682 12078 14463 17677 21594 28926 32391 35354 39589 53031 64782 79178 94813 98027 106062 118767 159093 189626 196054 237534 284439 294081 318186 356301 568878 588162 712602 853317 882243 1042943 1078297 1706634 1764486 2085886 2156594 3128829 3234891 5783593 6257658 6469782 9386487 9704673 11567186 17350779 18772974 19409346 34701558 52052337 63619523 104104674 127239046 190858569 381717138 572575707 1145151414