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706440040505101 = 723477323910495101
BaseRepresentation
bin1010000010100000001110001…
…1101010110101111100001101
310102122022000020001121000221101
42200220003203222311330031
51220043303200332130401
610542250024021303101
7301541415522466240
oct24050034352657415
93378260201530841
10706440040505101
111951035a2013aa1
1267294990264a91
1324425018bb5956
14c663c47b45257
1556a11d7657101
hex28280e3ab5f0d

706440040505101 has 128 divisors (see below), whose sum is σ = 876829556736000. Its totient is φ = 556125328281600.

The previous prime is 706440040505029. The next prime is 706440040505167. The reversal of 706440040505101 is 101505040044607.

It is not a de Polignac number, because 706440040505101 - 27 = 706440040504973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (706440040505401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138490497451 + ... + 138490502551.

It is an arithmetic number, because the mean of its divisors is an integer number (6850230912000).

Almost surely, 2706440040505101 is an apocalyptic number.

It is an amenable number.

706440040505101 is a deficient number, since it is larger than the sum of its proper divisors (170389516230899).

706440040505101 is a wasteful number, since it uses less digits than its factorization.

706440040505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539.

The product of its (nonzero) digits is 67200, while the sum is 37.

Adding to 706440040505101 its reverse (101505040044607), we get a palindrome (807945080549708).

The spelling of 706440040505101 in words is "seven hundred six trillion, four hundred forty billion, forty million, five hundred five thousand, one hundred one".

Divisors: 1 7 23 47 73 161 239 329 511 1049 1081 1673 1679 3431 5101 5497 7343 7567 11233 11753 17447 24017 24127 35707 38479 49303 76577 78631 78913 117323 122129 168889 239747 250711 258359 345121 372373 401281 536039 552391 820009 821261 1133969 1219139 1678229 1754977 1761271 1808513 2606611 2808967 3599119 5350949 5514181 5740063 5766353 7937783 8533973 8564579 11783417 12328897 17501531 18301903 18860207 25193833 28040197 37456643 38599267 40364471 57299533 59952053 82483919 82779737 88997147 122510717 123071827 128113321 132021449 196281379 251494603 271018591 390619277 401096731 402535213 420943769 579458159 622980029 860189441 861502789 1278876811 1317889259 1760462221 1897130137 2046934381 2734334939 2817746491 2946606383 4182865909 5784375869 6021326087 8952137677 8984243371 9225224813 14328540667 18359106019 19784357143 29280061363 29414166653 40490631083 60107210117 62889703597 93358007203 96205915907 128513742133 138490500001 205899166571 420750470819 422259438437 653506050421 673441411349 1382465832691 2147234165669 2955816069059 4387826338541 9677260828837 15030639159683 30714784369787 100920005786443 706440040505101