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4345115335240 = 235172735148973
BaseRepresentation
bin111111001110101101000…
…011100101101001001000
3120101101111120002012221111
4333032231003211221020
51032142244011211430
613124041325220104
7625632002646211
oct77165503455110
916341446065844
104345115335240
111425831369a99
125a2142401634
132569866bb084
1411043a174408
157805e28ac2a
hex3f3ad0e5a48

4345115335240 has 96 divisors (see below), whose sum is σ = 10527695219880. Its totient is φ = 1613399482368.

The previous prime is 4345115335199. The next prime is 4345115335261. The reversal of 4345115335240 is 425335115434.

It can be written as a sum of positive squares in 12 ways, for example, as 400863727044 + 3944251608196 = 633138^2 + 1986014^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4345115335193 and 4345115335202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730607 + ... + 3418366.

Almost surely, 24345115335240 is an apocalyptic number.

4345115335240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4345115335240 is an abundant number, since it is smaller than the sum of its proper divisors (6182579884640).

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

4345115335240 is a wasteful number, since it uses less digits than its factorization.

4345115335240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149091 (or 5149070 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 4345115335240 in words is "four trillion, three hundred forty-five billion, one hundred fifteen million, three hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 289 292 340 365 578 584 680 730 1156 1241 1445 1460 2312 2482 2890 2920 4964 5780 6205 9928 11560 12410 21097 24820 42194 49640 84388 105485 168776 210970 421940 843880 5148973 10297946 20595892 25744865 41191784 51489730 87532541 102979460 175065082 205958920 350130164 375875029 437662705 700260328 751750058 875325410 1488053197 1503500116 1750650820 1879375145 2976106394 3007000232 3501301640 3758750290 5952212788 6389875493 7440265985 7517500580 11904425576 12779750986 14880531970 15035001160 25559501972 29761063940 31949377465 51119003944 59522127880 63898754930 108627883381 127797509860 217255766762 255595019720 434511533524 543139416905 869023067048 1086278833810 2172557667620 4345115335240