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1345254250431 = 3713311275092459
BaseRepresentation
bin10011100100110111011…
…001101101011110111111
311202121100002012120022110
4103210313121231132333
5134020040042003211
62510000135145103
7166122440313510
oct23446731553677
94677302176273
101345254250431
11479578a54363
12198876b15193
1399b1a8a8810
14491798bca07
1524ed6d36ea6
hex1393766d7bf

1345254250431 has 128 divisors (see below), whose sum is σ = 2302201036800. Its totient is φ = 679672788480.

The previous prime is 1345254250427. The next prime is 1345254250469. The reversal of 1345254250431 is 1340524525431.

It is not a de Polignac number, because 1345254250431 - 22 = 1345254250427 is a prime.

It is a super-2 number, since 2×13452542504312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1345254250431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345254250411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 547072480 + ... + 547074938.

It is an arithmetic number, because the mean of its divisors is an integer number (17985945600).

Almost surely, 21345254250431 is an apocalyptic number.

1345254250431 is a deficient number, since it is larger than the sum of its proper divisors (956946786369).

1345254250431 is a wasteful number, since it uses less digits than its factorization.

1345254250431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149.

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 1345254250431 its reverse (1340524525431), we get a palindrome (2685778775862).

The spelling of 1345254250431 in words is "one trillion, three hundred forty-five billion, two hundred fifty-four million, two hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 31 39 91 93 127 217 273 381 403 509 651 889 1209 1527 1651 2459 2667 2821 3563 3937 4953 6617 7377 8463 10689 11557 11811 15779 17213 19851 27559 31967 34671 46319 47337 51181 51639 64643 76229 82677 95901 110453 138957 153543 193929 205127 223769 228687 312293 331359 358267 452501 533603 615381 671307 840359 936879 990977 1074801 1251631 1357503 1435889 1600809 2003933 2186051 2521077 2972931 3754893 4059809 4307667 5882513 6011799 6558153 6936839 8761417 9681083 12179427 14027531 16271203 17647539 20810517 26051129 26284251 28418663 29043249 38800561 42082593 48813609 67767581 78153387 85255989 113898421 116401683 125854079 158957137 182357903 203302743 271603927 341695263 377562237 476871411 504407293 547073709 814811781 880978553 1112699959 1513221879 2066442781 2642935659 3338099877 3530851051 4927671247 6199328343 10592553153 14465099467 14783013741 34493698729 43395298401 64059726211 103481096187 192179178633 448418083477 1345254250431