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1024461654340 = 2253137181246731
BaseRepresentation
bin11101110100001101010…
…11000100100101000100
310121221022111100012212211
432322012223010211010
5113241044140414330
62102344200353204
7134005054245355
oct16720653044504
93557274305784
101024461654340
11365520994953
1214666a175804
13757b6112417
14378270d5d2c
151b9ae048d2a
hexee86ac4944

1024461654340 has 96 divisors (see below), whose sum is σ = 2293399600128. Its totient is φ = 383714496000.

The previous prime is 1024461654283. The next prime is 1024461654367. The reversal of 1024461654340 is 434561644201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1024461654293 and 1024461654302.

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, 4028775 + ... + 4275505.

It is an arithmetic number, because the mean of its divisors is an integer number (23889579168).

Almost surely, 21024461654340 is an apocalyptic number.

1024461654340 is a gapful number since it is divisible by the number (10) 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 1024461654340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146699800064).

1024461654340 is an abundant number, since it is smaller than the sum of its proper divisors (1268937945788).

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

1024461654340 is a wasteful number, since it uses less digits than its factorization.

1024461654340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246989 (or 246987 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 1024461654340 in words is "one trillion, twenty-four billion, four hundred sixty-one million, six hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 181 185 310 362 370 620 724 740 905 1147 1810 2294 3620 4588 5611 5735 6697 11222 11470 13394 22444 22940 26788 28055 33485 56110 66970 112220 133940 207607 246731 415214 493462 830428 986924 1038035 1233655 2076070 2467310 4152140 4934620 7648661 9129047 15297322 18258094 30594644 36516188 38243305 44658311 45645235 76486610 89316622 91290470 152973220 178633244 182580940 223291555 283000457 446583110 566000914 893166220 1132001828 1384407641 1415002285 1652357507 2768815282 2830004570 3304715014 5537630564 5660009140 6609430028 6922038205 8261787535 13844076410 16523575070 27688152820 33047150140 51223082717 102446165434 204892330868 256115413585 512230827170 1024461654340