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1432364632340 = 225415381140639
BaseRepresentation
bin10100110101111111100…
…101011100100100010100
312001221011221202110121112
4110311333211130210110
5141431440321213330
63014004053034152
7205325221326515
oct24657745344424
95057157673545
101432364632340
1150250a547624
121b1728025958
13a50c0b536b5
144d480b08a0c
15273d4675795
hex14d7f95c914

1432364632340 has 96 divisors (see below), whose sum is σ = 3143417518080. Its totient is φ = 547735219200.

The previous prime is 1432364632339. The next prime is 1432364632357. The reversal of 1432364632340 is 432364632341.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35225741 + ... + 35266379.

It is an arithmetic number, because the mean of its divisors is an integer number (32743932480).

Almost surely, 21432364632340 is an apocalyptic number.

1432364632340 is a gapful number since it is divisible by the number (10) 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 1432364632340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571708759040).

1432364632340 is an abundant number, since it is smaller than the sum of its proper divisors (1711052885740).

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

1432364632340 is a wasteful number, since it uses less digits than its factorization.

1432364632340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41553 (or 41551 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 41.

Subtracting from 1432364632340 its reverse (432364632341), we obtain a palindrome (999999999999).

The spelling of 1432364632340 in words is "one trillion, four hundred thirty-two billion, three hundred sixty-four million, six hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 811 820 1060 1622 2173 3244 4055 4346 8110 8692 10865 16220 21730 33251 40639 42983 43460 66502 81278 85966 133004 162556 166255 171932 203195 214915 332510 406390 429830 665020 812780 859660 1666199 1762303 2153867 3332398 3524606 4307734 6664796 7049212 8330995 8615468 8811515 10769335 16661990 17623030 21538670 32958229 33323980 35246060 43077340 65916458 88308547 131832916 164791145 176617094 329582290 353234188 441542735 659164580 883085470 1351287389 1746786137 1766170940 2702574778 3493572274 5405149556 6756436945 6987144548 8733930685 13512873890 17467861370 27025747780 34935722740 71618231617 143236463234 286472926468 358091158085 716182316170 1432364632340