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11420213403340 = 22572171514539649
BaseRepresentation
bin1010011000101111100111…
…0000110101111011001100
31111102202120022022022220101
42212023321300311323030
52444102044112401330
640142212411100444
72256040351161400
oct246137160657314
944382508268811
1011420213403340
113703315818425
121345392441724
1364abc9707c91
142b6a540d1100
1514c0ec9244ca
hexa62f9c35ecc

11420213403340 has 144 divisors (see below), whose sum is σ = 29734634865600. Its totient is φ = 3660772147200.

The previous prime is 11420213403233. The next prime is 11420213403349. The reversal of 11420213403340 is 4330431202411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11420213403299 and 11420213403308.

It is not an unprimeable number, because it can be changed into a prime (11420213403349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245836 + ... + 4785484.

It is an arithmetic number, because the mean of its divisors is an integer number (206490519900).

Almost surely, 211420213403340 is an apocalyptic number.

11420213403340 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 11420213403340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14867317432800).

11420213403340 is an abundant number, since it is smaller than the sum of its proper divisors (18314421462260).

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

11420213403340 is a wasteful number, since it uses less digits than its factorization.

11420213403340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539840 (or 4539831 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11420213403340 its reverse (4330431202411), we get a palindrome (15750644605751).

The spelling of 11420213403340 in words is "eleven trillion, four hundred twenty billion, two hundred thirteen million, four hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 151 170 196 238 245 302 340 476 490 595 604 755 833 980 1057 1190 1510 1666 2114 2380 2567 3020 3332 4165 4228 5134 5285 7399 8330 10268 10570 12835 14798 16660 17969 21140 25670 29596 35938 36995 51340 71876 73990 89845 125783 147980 179690 251566 359380 503132 628915 1257830 2515660 4539649 9079298 18158596 22698245 31777543 45396490 63555086 77174033 90792980 127110172 154348066 158887715 222442801 308696132 317775430 385870165 444885602 540218231 635550860 685486999 771740330 889771204 1080436462 1112214005 1370973998 1543480660 2160872924 2224428010 2701091155 2741947996 3427434995 3781527617 4448856020 4798408993 5402182310 6854869990 7563055234 9596817986 10804364620 11653278983 13709739980 15126110468 18907638085 19193635972 23306557966 23992044965 33588862951 37815276170 46613115932 47984089930 58266394915 67177725902 75630552340 81572952881 95968179860 116532789830 134355451804 163145905762 167944314755 233065579660 326291811524 335888629510 407864764405 571010670167 671777259020 815729528810 1142021340334 1631459057620 2284042680668 2855053350835 5710106701670 11420213403340