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11402314420 = 2257372279697
BaseRepresentation
bin10101001111010000…
…11000001010110100
31002102122110120212111
422213220120022310
5141322443030140
65123235100404
7552363034120
oct124750301264
932378416774
1011402314420
114921344652
122262741704
1310c9399513
147a24b8580
1546b05d7ea
hex2a7a182b4

11402314420 has 96 divisors (see below), whose sum is σ = 28231886592. Its totient is φ = 3786559488.

The previous prime is 11402314411. The next prime is 11402314439. The reversal of 11402314420 is 2441320411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11402314391 and 11402314400.

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, 1171012 + ... + 1180708.

It is an arithmetic number, because the mean of its divisors is an integer number (294082152).

Almost surely, 211402314420 is an apocalyptic number.

11402314420 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 11402314420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115943296).

11402314420 is an abundant number, since it is smaller than the sum of its proper divisors (16829572172).

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

11402314420 is a wasteful number, since it uses less digits than its factorization.

11402314420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9975 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11402314420 its reverse (2441320411), we get a palindrome (13843634831).

The spelling of 11402314420 in words is "eleven billion, four hundred two million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 227 259 370 454 518 740 908 1036 1135 1295 1589 2270 2590 3178 4540 5180 6356 7945 8399 9697 15890 16798 19394 31780 33596 38788 41995 48485 58793 67879 83990 96970 117586 135758 167980 193940 235172 271516 293965 339395 358789 587930 678790 717578 1175860 1357580 1435156 1793945 2201219 2511523 3587890 4402438 5023046 7175780 8804876 10046092 11006095 12557615 15408533 22012190 25115230 30817066 44024380 50230460 61634132 77042665 81445103 154085330 162890206 308170660 325780412 407225515 570115721 814451030 1140231442 1628902060 2280462884 2850578605 5701157210 11402314420