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11454110140004 = 2272834253165551
BaseRepresentation
bin1010011010101101111000…
…1010101000011001100100
31111120000001121222222001122
42212223132022220121210
53000131004143440004
640205540123513112
72261350345530500
oct246533612503144
944500047888048
1011454110140004
11371672a625384
12134ba72388798
1365116c1a77cc
142b854bc8d300
1514ce336c6cbe
hexa6ade2a8664

11454110140004 has 72 divisors (see below), whose sum is σ = 23603918099328. Its totient is φ = 4848591316800.

The previous prime is 11454110140003. The next prime is 11454110140007. The reversal of 11454110140004 is 40004101145411.

It is a happy number.

It is a super-2 number, since 2×114541101400042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11454110140003) 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, 69105029 + ... + 69270579.

It is an arithmetic number, because the mean of its divisors is an integer number (327832195824).

Almost surely, 211454110140004 is an apocalyptic number.

11454110140004 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 11454110140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801959049664).

11454110140004 is an abundant number, since it is smaller than the sum of its proper divisors (12149807959324).

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

11454110140004 is a wasteful number, since it uses less digits than its factorization.

11454110140004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169905 (or 169896 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 11454110140004 its reverse (40004101145411), we get a palindrome (51458211285415).

The spelling of 11454110140004 in words is "eleven trillion, four hundred fifty-four billion, one hundred ten million, one hundred forty thousand, four".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 581 1162 2324 4067 4253 8134 8506 16268 17012 29771 59542 119084 165551 208397 331102 352999 416794 662204 705998 833588 1158857 1411996 2317714 2470993 4635428 4941986 8111999 9883972 13740733 16223998 17296951 27481466 32447996 34593902 54962932 69187804 96185131 192370262 384740524 673295917 704088403 1346591834 1408176806 2693183668 2816353612 4928618821 9857237642 19714475284 34500331747 58439337449 69000663494 116878674898 138001326988 233757349796 409075362143 818150724286 1636301448572 2863527535001 5727055070002 11454110140004