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10223111140144 = 247176197907433
BaseRepresentation
bin1001010011000100000011…
…1010000111001100110000
31100012022122012012111112021
42110301000322013030300
52314443412422441034
633424233223041224
72103411136631530
oct224610072071460
940168565174467
1010223111140144
1132916627a4941
1211913832a0214
1359205c57ab46
14274b3078d4c0
1512add732c6b4
hex94c40e87330

10223111140144 has 160 divisors (see below), whose sum is σ = 24612571944576. Its totient is φ = 4014188789760.

The previous prime is 10223111140133. The next prime is 10223111140169. The reversal of 10223111140144 is 44104111132201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10812252 + ... + 11719684.

Almost surely, 210223111140144 is an apocalyptic number.

10223111140144 is a gapful number since it is divisible by the number (14) 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 10223111140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306285972288).

10223111140144 is an abundant number, since it is smaller than the sum of its proper divisors (14389460804432).

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

10223111140144 is a wasteful number, since it uses less digits than its factorization.

10223111140144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907623 (or 907617 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10223111140144 its reverse (44104111132201), we get a palindrome (54327222272345).

The spelling of 10223111140144 in words is "ten trillion, two hundred twenty-three billion, one hundred eleven million, one hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 61 68 97 112 119 122 136 194 238 244 272 388 427 476 488 679 776 854 952 976 1037 1358 1552 1649 1708 1904 2074 2716 3298 3416 4148 5432 5917 6596 6832 7259 8296 10864 11543 11834 13192 14518 16592 23086 23668 26384 29036 41419 46172 47336 58072 82838 92344 94672 100589 116144 165676 184688 201178 331352 402356 662704 704123 804712 907433 1408246 1609424 1814866 2816492 3629732 5632984 6352031 7259464 11265968 12704062 14518928 15426361 25408124 30852722 50816248 55353413 61705444 88021001 101632496 107984527 110706826 123410888 176042002 215969054 221413652 246821776 352084004 387473891 431938108 442827304 616147007 704168008 774947782 863876216 885654608 941008021 1232294014 1408336016 1496357017 1549895564 1727752432 1882016042 2464588028 2992714034 3099791128 3764032084 4929176056 5369281061 5985428068 6199582256 6587056147 7528064168 9858352112 10474499119 10738562122 11970856136 13174112294 15056128336 20948998238 21477124244 23941712272 26348224588 37584967427 41897996476 42954248488 52696449176 75169934854 83795992952 85908496976 91277778037 105392898352 150339869708 167591985904 182555556074 300679739416 365111112148 601359478832 638944446259 730222224296 1277888892518 1460444448592 2555777785036 5111555570072 10223111140144