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11240441032140 = 2235511292048581
BaseRepresentation
bin1010001110010001111001…
…1111101010110111001100
31110210120112122212122200000
42203210132133222313030
52433130410401012030
635523442021204300
72240044415220165
oct243443637526714
943716478778600
1011240441032140
113644053a1a121
121316580b60690
13636c79ca2638
142ac07c62a76c
151475ca1d1860
hexa391e7eadcc

11240441032140 has 144 divisors (see below), whose sum is σ = 35390155426080. Its totient is φ = 2994794519040.

The previous prime is 11240441032111. The next prime is 11240441032147. The reversal of 11240441032140 is 4123014404211.

11240441032140 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 441 + 0 + 3 + 214 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11240441032147) 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, 4462650 + ... + 6511230.

Almost surely, 211240441032140 is an apocalyptic number.

11240441032140 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 11240441032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695077713040).

11240441032140 is an abundant number, since it is smaller than the sum of its proper divisors (24149714393940).

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

11240441032140 is a wasteful number, since it uses less digits than its factorization.

11240441032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049734 (or 2049720 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11240441032140 its reverse (4123014404211), we get a palindrome (15363455436351).

The spelling of 11240441032140 in words is "eleven trillion, two hundred forty billion, four hundred forty-one million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1129 1215 1620 2258 2430 3387 4516 4860 5645 6774 10161 11290 13548 16935 20322 22580 30483 33870 40644 50805 60966 67740 91449 101610 121932 152415 182898 203220 274347 304830 365796 457245 548694 609660 914490 1097388 1371735 1828980 2048581 2743470 4097162 5486940 6145743 8194324 10242905 12291486 18437229 20485810 24582972 30728715 36874458 40971620 55311687 61457430 73748916 92186145 110623374 122914860 165935061 184372290 221246748 276558435 331870122 368744580 497805183 553116870 663740244 829675305 995610366 1106233740 1659350610 1991220732 2312847949 2489025915 3318701220 4625695898 4978051830 6938543847 9251391796 9956103660 11564239745 13877087694 20815631541 23128479490 27754175388 34692719235 41631263082 46256958980 62446894623 69385438470 83262526164 104078157705 124893789246 138770876940 187340683869 208156315410 249787578492 312234473115 374681367738 416312630820 562022051607 624468946230 749362735476 936703419345 1124044103214 1248937892460 1873406838690 2248088206428 2810110258035 3746813677380 5620220516070 11240441032140