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402423322222440 = 23345184957671533
BaseRepresentation
bin101101110000000000111101…
…1001010111001111101101000
31221202212021221020112222210000
41123200001323022321331220
5410221300430442104230
63543514415544223000
7150523061033644131
oct13340017312717550
91852767836488700
10402423322222440
11107251855270782
123917440446aa60
131437148318b27c
14715356d8a4c88
15317ce4a262b60
hex16e007b2b9f68

402423322222440 has 160 divisors (see below), whose sum is σ = 1352598826879080. Its totient is φ = 107312145919488.

The previous prime is 402423322222387. The next prime is 402423322222477. The reversal of 402423322222440 is 44222223324204.

402423322222440 is a `hidden beast` number, since 4 + 0 + 2 + 42 + 332 + 22 + 224 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327483239864004 + 74940082358436 = 18096498^2 + 8656794^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402423322222395 and 402423322222404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 598924914 + ... + 599596446.

Almost surely, 2402423322222440 is an apocalyptic number.

402423322222440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402423322222440 is an abundant number, since it is smaller than the sum of its proper divisors (950175504656640).

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

402423322222440 is a wasteful number, since it uses less digits than its factorization.

402423322222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856513 (or 856500 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 402423322222440 its reverse (44222223324204), we get a palindrome (446645545546644).

The spelling of 402423322222440 in words is "four hundred two trillion, four hundred twenty-three billion, three hundred twenty-two million, two hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 184957 369914 554871 671533 739828 924785 1109742 1343066 1479656 1664613 1849570 2014599 2219484 2686132 2774355 3329226 3357665 3699140 4029198 4438968 4993839 5372264 5548710 6043797 6658452 6715330 7398280 8058396 8323065 9987678 10072995 11097420 12087594 13316904 13430660 14981517 16116792 16646130 18131391 19975356 20145990 22194840 24175188 24969195 26861320 29963034 30218985 33292260 36262782 39950712 40291980 48350376 49938390 54394173 59926068 60437970 66584520 72525564 74907585 80583960 90656955 99876780 108788346 119852136 120875940 145051128 149815170 181313910 199753560 217576692 241751880 271970865 299630340 362627820 435153384 543941730 599260680 725255640 1087883460 2175766920 124204729081 248409458162 372614187243 496818916324 621023645405 745228374486 993637832648 1117842561729 1242047290810 1490456748972 1863070936215 2235685123458 2484094581620 2980913497944 3353527685187 3726141872430 4471370246916 4968189163240 5589212808645 6707055370374 7452283744860 8942740493832 10060583055561 11178425617290 13414110740748 14904567489720 16767638425935 20121166111122 22356851234580 26828221481496 33535276851870 40242332222244 44713702469160 50302915277805 67070553703740 80484664444488 100605830555610 134141107407480 201211661111220 402423322222440