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11141141022440 = 23511213177068357
BaseRepresentation
bin1010001000011111111111…
…0000001100011011101000
31110110002020021101111120222
42202013333300030123220
52430014024100204230
635410100341305212
72226630601112552
oct242077760143350
943402207344528
1011141141022440
113605a27727100
1212bb289705208
1362a7b34caa50
142a733c5404d2
15144c176666e5
hexa21ffc0c6e8

11141141022440 has 96 divisors (see below), whose sum is σ = 29673115433640. Its totient is φ = 3739683678720.

The previous prime is 11141141022437. The next prime is 11141141022547. The reversal of 11141141022440 is 4422014114111.

11141141022440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5763389298436 + 5377751724004 = 2400706^2 + 2318998^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88471259 + ... + 88597098.

Almost surely, 211141141022440 is an apocalyptic number.

11141141022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141141022440 is an abundant number, since it is smaller than the sum of its proper divisors (18531974411200).

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

11141141022440 is a wasteful number, since it uses less digits than its factorization.

11141141022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177068403 (or 177068388 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 11141141022440 its reverse (4422014114111), we get a palindrome (15563155136551).

The spelling of 11141141022440 in words is "eleven trillion, one hundred forty-one billion, one hundred forty-one million, twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 121 130 143 220 242 260 286 440 484 520 572 605 715 968 1144 1210 1430 1573 2420 2860 3146 4840 5720 6292 7865 12584 15730 31460 62920 177068357 354136714 708273428 885341785 1416546856 1770683570 1947751927 2301888641 3541367140 3895503854 4603777282 7082734280 7791007708 9207554564 9738759635 11509443205 15582015416 18415109128 19477519270 21425271197 23018886410 25320775051 38955038540 42850542394 46037772820 50641550102 77910077080 85701084788 92075545640 101283100204 107126355985 126603875255 171402169576 202566200408 214252711970 253207750510 278528525561 428505423940 506415501020 557057051122 857010847880 1012831002040 1114114102244 1392642627805 2228228204488 2785285255610 5570570511220 11141141022440