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426720422040 = 2335111174327529
BaseRepresentation
bin1100011010110101000…
…01001110100010011000
31111210102212202110011120
412031122201032202120
523442410412001130
6524011015325240
742554346512043
oct6153241164230
91453385673146
10426720422040
11154a7560aa20
126a84b980820
1331316421663
1416920c29c5a
15b177655910
hex635a84e898

426720422040 has 128 divisors (see below), whose sum is σ = 1396709222400. Its totient is φ = 103434808320.

The previous prime is 426720422027. The next prime is 426720422047. The reversal of 426720422040 is 40224027624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 426720421992 and 426720422010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426720422047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15486996 + ... + 15514524.

It is an arithmetic number, because the mean of its divisors is an integer number (10911790800).

Almost surely, 2426720422040 is an apocalyptic number.

426720422040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426720422040 is an abundant number, since it is smaller than the sum of its proper divisors (969988800360).

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

426720422040 is a wasteful number, since it uses less digits than its factorization.

426720422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39297 (or 39293 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 33.

Adding to 426720422040 its reverse (40224027624), we get a palindrome (466944449664).

The spelling of 426720422040 in words is "four hundred twenty-six billion, seven hundred twenty million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 11743 23486 27529 35229 46972 55058 58715 70458 82587 93944 110116 117430 129173 137645 140916 165174 176145 220232 234860 258346 275290 281832 302819 330348 352290 387519 412935 469720 516692 550580 605638 645865 660696 704580 775038 825870 908457 1033384 1101160 1211276 1291730 1409160 1514095 1550076 1651740 1816914 1937595 2422552 2583460 3028190 3100152 3303480 3633828 3875190 4542285 5166920 6056380 7267656 7750380 9084570 12112760 15500760 18169140 36338280 323273047 646546094 969819141 1293092188 1616365235 1939638282 2586184376 3232730470 3556003517 3879276564 4849095705 6465460940 7112007034 7758553128 9698191410 10668010551 12930921880 14224014068 17780017585 19396382820 21336021102 28448028136 35560035170 38792765640 42672042204 53340052755 71120070340 85344084408 106680105510 142240140680 213360211020 426720422040