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402331916844 = 223211313645893
BaseRepresentation
bin1011101101011001101…
…10011101101000101100
31102110111012111000112100
411312230312131220230
523042433432314334
6504455001135100
741032105603254
oct5665466355054
91373435430470
10402331916844
1114569a973000
1265b8418a490
132bc2a7a9ab0
1415689b7c964
15a6eb4c1c99
hex5dacd9da2c

402331916844 has 144 divisors (see below), whose sum is σ = 1204680151584. Its totient is φ = 112540222080.

The previous prime is 402331916783. The next prime is 402331916863. The reversal of 402331916844 is 448619133204.

402331916844 is a `hidden beast` number, since 402 + 33 + 19 + 168 + 44 = 666.

It is a super-2 number, since 2×4023319168442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402331916844.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299962 + ... + 945854.

It is an arithmetic number, because the mean of its divisors is an integer number (8365834386).

Almost surely, 2402331916844 is an apocalyptic number.

402331916844 is a gapful number since it is divisible by the number (44) 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 402331916844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602340075792).

402331916844 is an abundant number, since it is smaller than the sum of its proper divisors (802348234740).

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

402331916844 is a wasteful number, since it uses less digits than its factorization.

402331916844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645949 (or 645922 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 402331916844 in words is "four hundred two billion, three hundred thirty-one million, nine hundred sixteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 121 132 143 156 198 234 242 286 363 396 429 468 484 572 726 858 1089 1287 1331 1452 1573 1716 2178 2574 2662 3146 3993 4356 4719 5148 5324 6292 7986 9438 11979 14157 15972 17303 18876 23958 28314 34606 47916 51909 56628 69212 103818 155727 207636 311454 622908 645893 1291786 1937679 2583572 3875358 5813037 7104823 7750716 8396609 11626074 14209646 16793218 21314469 23252148 25189827 28419292 33586436 42628938 50379654 63943407 75569481 78153053 85257876 92362699 100759308 127886814 151138962 156306106 184725398 234459159 255773628 277088097 302277924 312612212 369450796 468918318 554176194 703377477 831264291 859683583 937836636 1015989689 1108352388 1406754954 1662528582 1719367166 2031979378 2579050749 2813509908 3047969067 3325057164 3438734332 4063958756 5158101498 6095938134 7737152247 9143907201 10316202996 11175886579 12191876268 15474304494 18287814402 22351773158 30948608988 33527659737 36575628804 44703546316 67055319474 100582979211 134110638948 201165958422 402331916844