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1023164032440 = 2335112926728423
BaseRepresentation
bin11101110001110010101…
…01000010010110111000
310121210222001122012021110
432320321111002112320
5113230414443014230
62102011324040320
7133630646531214
oct16707125022670
93553861565243
101023164032440
11364a15471360
121463676930a0
137563a32aa04
1437742a33944
151b9351784b0
hexee395425b8

1023164032440 has 128 divisors (see below), whose sum is σ = 3464003750400. Its totient is φ = 239486661120.

The previous prime is 1023164032427. The next prime is 1023164032463. The reversal of 1023164032440 is 442304613201.

1023164032440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1023164032398 and 1023164032407.

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, 13325932 + ... + 13402491.

It is an arithmetic number, because the mean of its divisors is an integer number (27062529300).

Almost surely, 21023164032440 is an apocalyptic number.

1023164032440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023164032440 is an abundant number, since it is smaller than the sum of its proper divisors (2440839717960).

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

1023164032440 is a wasteful number, since it uses less digits than its factorization.

1023164032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26728477 (or 26728473 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1023164032440 its reverse (442304613201), we get a palindrome (1465468645641).

The spelling of 1023164032440 in words is "one trillion, twenty-three billion, one hundred sixty-four million, thirty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1595 1740 1914 2552 3190 3480 3828 4785 6380 7656 9570 12760 19140 38280 26728423 53456846 80185269 106913692 133642115 160370538 213827384 267284230 294012653 320741076 400926345 534568460 588025306 641482152 775124267 801852690 882037959 1069136920 1176050612 1470063265 1550248534 1603705380 1764075918 2325372801 2352101224 2940126530 3100497068 3207410760 3528151836 3875621335 4410189795 4650745602 5880253060 6200994136 7056303672 7751242670 8526366937 8820379590 9301491204 11626864005 11760506120 15502485340 17052733874 17640759180 18602982408 23253728010 25579100811 31004970680 34105467748 35281518360 42631834685 46507456020 51158201622 68210935496 85263669370 93014912040 102316403244 127895504055 170527338740 204632806488 255791008110 341054677480 511582016220 1023164032440