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11140444122432 = 263173491977693
BaseRepresentation
bin1010001000011101011000…
…1101101110110101000000
31110110000102201001022111120
42202013112031232311000
52430011112143404212
635405503244312240
72226604406422242
oct242072615566500
943400381038446
1011140444122432
1136056aa304889
1212bb114242680
1362a702005691
142a72b3b72092
15144bc63a788c
hexa21d636ed40

11140444122432 has 112 divisors (see below), whose sum is σ = 31218598504512. Its totient is φ = 3494036561920.

The previous prime is 11140444122427. The next prime is 11140444122481. The reversal of 11140444122432 is 23422144404111.

It is a junction number, because it is equal to n+sod(n) for n = 11140444122393 and 11140444122402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10905778 + ... + 11883470.

Almost surely, 211140444122432 is an apocalyptic number.

11140444122432 is a gapful number since it is divisible by the number (12) 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 11140444122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15609299252256).

11140444122432 is an abundant number, since it is smaller than the sum of its proper divisors (20078154382080).

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

11140444122432 is a wasteful number, since it uses less digits than its factorization.

11140444122432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981216 (or 981206 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 11140444122432 its reverse (23422144404111), we get a palindrome (34562588526543).

The spelling of 11140444122432 in words is "eleven trillion, one hundred forty billion, four hundred forty-four million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 3491 6982 10473 13964 20946 27928 41892 55856 59347 83784 111712 118694 167568 178041 223424 237388 335136 356082 474776 670272 712164 949552 977693 1424328 1899104 1955386 2848656 2933079 3798208 3910772 5697312 5866158 7821544 11394624 11732316 15643088 16620781 23464632 31286176 33241562 46929264 49862343 62572352 66483124 93858528 99724686 132966248 187717056 199449372 265932496 398898744 531864992 797797488 1063729984 1595594976 3191189952 3413126263 6826252526 10239378789 13652505052 20478757578 27305010104 40957515156 54610020208 58023146471 81915030312 109220040416 116046292942 163830060624 174069439413 218440080832 232092585884 327660121248 348138878826 464185171768 655320242496 696277757652 928370343536 1392555515304 1856740687072 2785111030608 3713481374144 5570222061216 11140444122432