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1403402105424 = 2431153380313187
BaseRepresentation
bin10100011011000001010…
…010001011001001010000
311222011102111122122202110
4110123001102023021100
5140443131414333144
62552414121345320
7203251420033524
oct24330122131120
94864374578673
101403402105424
114a11a79a1470
121a7ba4638240
13a24566b90c7
144bcd43a3d84
152678bb810b9
hex146c148b250

1403402105424 has 160 divisors (see below), whose sum is σ = 4031030997504. Its totient is φ = 417107991040.

The previous prime is 1403402105423. The next prime is 1403402105551. The reversal of 1403402105424 is 4245012043041.

It is a junction number, because it is equal to n+sod(n) for n = 1403402105391 and 1403402105400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403402105423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106416559 + ... + 106429745.

Almost surely, 21403402105424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403402105424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015515498752).

1403402105424 is an abundant number, since it is smaller than the sum of its proper divisors (2627628892080).

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

1403402105424 is a wasteful number, since it uses less digits than its factorization.

1403402105424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17065 (or 17059 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1403402105424 its reverse (4245012043041), we get a palindrome (5648414148465).

The spelling of 1403402105424 in words is "one trillion, four hundred three billion, four hundred two million, one hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 3803 4664 6996 7606 9328 11409 13187 13992 15212 22818 26374 27984 30424 39561 41833 45636 52748 60848 79122 83666 91272 105496 125499 145057 158244 167332 182544 201559 210992 250998 290114 316488 334664 403118 435171 501996 580228 604677 632976 669328 698911 806236 870342 1003992 1160456 1209354 1397822 1612472 1740684 2007984 2096733 2217149 2320912 2418708 2795644 3224944 3481368 4193466 4434298 4837416 5591288 6651447 6962736 7688021 8386932 8868596 9674832 11182576 13302894 15376042 16773864 17737192 23064063 26605788 30752084 33547728 35474384 46128126 50150161 53211576 61504168 92256252 100300322 106423152 123008336 150450483 184512504 200600644 300900966 369025008 401201288 551651771 601801932 802402576 1103303542 1203603864 1654955313 2206607084 2407207728 2657958533 3309910626 4413214168 5315917066 6619821252 7973875599 8826428336 10631834132 13239642504 15947751198 21263668264 26479285008 29237543863 31895502396 42527336528 58475087726 63791004792 87712631589 116950175452 127582009584 175425263178 233900350904 350850526356 467800701808 701701052712 1403402105424