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11141020340320 = 2551322831455901
BaseRepresentation
bin1010001000011111100010…
…0011110101000001100000
31110110001220212022012211211
42202013320203311001200
52430013302201342240
635410040350515504
72226624604250623
oct242077043650140
943401825265754
1011141020340320
113605975599912
1212bb255205b94
1362a7944c5500
142a732a4c7dba
15144c0bc78bea
hexa21f88f5060

11141020340320 has 144 divisors (see below), whose sum is σ = 28601800445232. Its totient is φ = 4099068979200.

The previous prime is 11141020340291. The next prime is 11141020340321. The reversal of 11141020340320 is 2304302014111.

It is a junction number, because it is equal to n+sod(n) for n = 11141020340291 and 11141020340300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141020340321) 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, 6924370 + ... + 8380270.

It is an arithmetic number, because the mean of its divisors is an integer number (198623614203).

Almost surely, 211141020340320 is an apocalyptic number.

11141020340320 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 11141020340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14300900222616).

11141020340320 is an abundant number, since it is smaller than the sum of its proper divisors (17460780104912).

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

11141020340320 is a wasteful number, since it uses less digits than its factorization.

11141020340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456225 (or 1456204 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11141020340320 its reverse (2304302014111), we get a palindrome (13445322354431).

The spelling of 11141020340320 in words is "eleven trillion, one hundred forty-one billion, twenty million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 283 338 416 520 566 676 845 1040 1132 1352 1415 1690 2080 2264 2704 2830 3380 3679 4528 5408 5660 6760 7358 9056 11320 13520 14716 18395 22640 27040 29432 36790 45280 47827 58864 73580 95654 117728 147160 191308 239135 294320 382616 478270 588640 765232 956540 1455901 1530464 1913080 2911802 3826160 5823604 7279505 7652320 11647208 14559010 18926713 23294416 29118020 37853426 46588832 58236040 75706852 94633565 116472080 151413704 189267130 232944160 246047269 302827408 378534260 412019983 492094538 605654816 757068520 824039966 984189076 1230236345 1514137040 1648079932 1968378152 2060099915 2460472690 3028274080 3296159864 3936756304 4120199830 4920945380 5356259779 6592319728 7873512608 8240399660 9841890760 10712519558 13184639456 16480799320 19683781520 21425039116 26781298895 32961598640 39367563040 42850078232 53562597790 65923197280 69631377127 85700156464 107125195580 139262754254 171400312928 214250391160 278525508508 348156885635 428500782320 557051017016 696313771270 857001564640 1114102034032 1392627542540 2228204068064 2785255085080 5570510170160 11141020340320