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11401150032 = 2433194332303
BaseRepresentation
bin10101001111000111…
…11011111001010000
31002102120021102122000
422213203323321100
5141322143300112
65123154114000
7552350114316
oct124743737120
932376242560
1011401150032
114920719848
12226227b900
1310c907c52c
147a22940b6
1546adcd7dc
hex2a78fbe50

11401150032 has 160 divisors (see below), whose sum is σ = 35250124800. Its totient is φ = 3516524928.

The previous prime is 11401150027. The next prime is 11401150069. The reversal of 11401150032 is 23005110411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401149987 and 11401150014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336793 + ... + 369095.

It is an arithmetic number, because the mean of its divisors is an integer number (220313280).

Almost surely, 211401150032 is an apocalyptic number.

11401150032 is a gapful number since it is divisible by the number (12) 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 11401150032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625062400).

11401150032 is an abundant number, since it is smaller than the sum of its proper divisors (23848974768).

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

11401150032 is a wasteful number, since it uses less digits than its factorization.

11401150032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32382 (or 32370 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11401150032 its reverse (23005110411), we get a palindrome (34406260443).

The spelling of 11401150032 in words is "eleven billion, four hundred one million, one hundred fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 43 48 54 57 72 76 86 108 114 129 144 152 171 172 216 228 258 304 342 344 387 432 456 513 516 684 688 774 817 912 1026 1032 1161 1368 1548 1634 2052 2064 2322 2451 2736 3096 3268 4104 4644 4902 6192 6536 7353 8208 9288 9804 13072 14706 18576 19608 22059 29412 32303 39216 44118 58824 64606 88236 96909 117648 129212 176472 193818 258424 290727 352944 387636 516848 581454 613757 775272 872181 1162908 1227514 1389029 1550544 1744362 1841271 2325816 2455028 2778058 3488724 3682542 4167087 4651632 4910056 5523813 5556116 6977448 7365084 8334174 9820112 11047626 11112232 12501261 13954896 14730168 16571439 16668348 22095252 22224464 25002522 26391551 29460336 33142878 33336696 37503783 44190504 50005044 52783102 66285756 66673392 75007566 79174653 88381008 100010088 105566204 132571512 150015132 158349306 200020176 211132408 237523959 265143024 300030264 316698612 422264816 475047918 600060528 633397224 712571877 950095836 1266794448 1425143754 1900191672 2850287508 3800383344 5700575016 11401150032