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11120003311440 = 2435317731933537
BaseRepresentation
bin1010000111010001001111…
…0110001110011101010000
31110101001200011001112020210
42201310103312032131100
52424142231321431230
635352243051004120
72225252022410142
oct241642366163520
943331604045223
1011120003311440
1135a7a6aa75a61
1212b716a739640
136287c51ca74a
142a62d5100c92
151443cbab5eb0
hexa1d13d8e750

11120003311440 has 160 divisors (see below), whose sum is σ = 35630062672896. Its totient is φ = 2865964400640.

The previous prime is 11120003311411. The next prime is 11120003311523. The reversal of 11120003311440 is 4411330002111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784352 + ... + 6717888.

Almost surely, 211120003311440 is an apocalyptic number.

11120003311440 is a gapful number since it is divisible by the number (10) 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 11120003311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815031336448).

11120003311440 is an abundant number, since it is smaller than the sum of its proper divisors (24510059361456).

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

11120003311440 is a wasteful number, since it uses less digits than its factorization.

11120003311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934357 (or 1934351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11120003311440 its reverse (4411330002111), we get a palindrome (15531333313551).

The spelling of 11120003311440 in words is "eleven trillion, one hundred twenty billion, three million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 773 930 1240 1488 1546 1860 2319 2480 3092 3720 3865 4638 6184 7440 7730 9276 11595 12368 15460 18552 23190 23963 30920 37104 46380 47926 61840 71889 92760 95852 119815 143778 185520 191704 239630 287556 359445 383408 479260 575112 718890 958520 1150224 1437780 1917040 1933537 2875560 3867074 5751120 5800611 7734148 9667685 11601222 15468296 19335370 23202444 29003055 30936592 38670740 46404888 58006110 59939647 77341480 92809776 116012220 119879294 154682960 179818941 232024440 239758588 299698235 359637882 464048880 479517176 599396470 719275764 899094705 959034352 1198792940 1438551528 1494624101 1798189410 2397585880 2877103056 2989248202 3596378820 4483872303 4795171760 5978496404 7192757640 7473120505 8967744606 11956992808 14385515280 14946241010 17935489212 22419361515 23913985616 29892482020 35870978424 44838723030 46333347131 59784964040 71741956848 89677446060 92666694262 119569928080 139000041393 179354892120 185333388524 231666735655 278000082786 358709784240 370666777048 463333471310 556000165572 695000206965 741333554096 926666942620 1112000331144 1390000413930 1853333885240 2224000662288 2780000827860 3706667770480 5560001655720 11120003311440