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2402013310424 = 2371361142338011
BaseRepresentation
bin100010111101000011001…
…001100110110111011000
322111122000102210222122122
4202331003021212313120
5303323310401413144
65035245241240412
7335353062155540
oct42750311466730
98448012728578
102402013310424
118467629910a2
12329639493108
1314568002a350
14843881b4320
15427365177ee
hex22f43266dd8

2402013310424 has 128 divisors (see below), whose sum is σ = 5638085806080. Its totient is φ = 933987801600.

The previous prime is 2402013310399. The next prime is 2402013310441. The reversal of 2402013310424 is 4240133102042.

2402013310424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2402013310393 and 2402013310402.

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, 63173579 + ... + 63211589.

It is an arithmetic number, because the mean of its divisors is an integer number (44047545360).

Almost surely, 22402013310424 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 2402013310424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819042903040).

2402013310424 is an abundant number, since it is smaller than the sum of its proper divisors (3236072495656).

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

2402013310424 is a wasteful number, since it uses less digits than its factorization.

2402013310424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39521 (or 39517 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2402013310424 its reverse (4240133102042), we get a palindrome (6642146412466).

The spelling of 2402013310424 in words is "two trillion, four hundred two billion, thirteen million, three hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 61 91 104 122 182 244 364 427 488 728 793 854 1423 1586 1708 2846 3172 3416 5551 5692 6344 9961 11102 11384 18499 19922 22204 36998 38011 39844 44408 73996 76022 79688 86803 129493 147992 152044 173606 258986 266077 304088 347212 494143 517972 532154 607621 694424 988286 1035944 1064308 1128439 1215242 1976572 2128616 2256878 2318671 2430484 3459001 3953144 4513756 4637342 4860968 6918002 7899073 9027512 9274684 13836004 15798146 16230697 18549368 27672008 30142723 31596292 32461394 54089653 60285446 63192584 64922788 108179306 120570892 129845576 210999061 216358612 241141784 378627571 421998122 432717224 703165489 757255142 843996244 1406330978 1514510284 1687992488 2812661956 3029020568 3299468833 4922158423 5625323912 6598937666 9844316846 13197875332 19688633692 23096281831 26395750664 39377267384 42893094829 46192563662 85786189658 92385127324 171572379316 184770254648 300251663803 343144758632 600503327606 1201006655212 2402013310424