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43703670040 = 23517194771971
BaseRepresentation
bin101000101100111100…
…010001010100011000
311011210210011110122221
4220230330101110120
51204001114420130
632024401153424
73105006031432
oct505474212430
9134723143587
1043703670040
1117597645178
12857832b874
13417648c7b4
142188425652
15120bc2587a
hexa2cf11518

43703670040 has 128 divisors (see below), whose sum is σ = 111930854400. Its totient is φ = 15255336960.

The previous prime is 43703670037. The next prime is 43703670071. The reversal of 43703670040 is 4007630734.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 43703669978 and 43703670005.

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, 571255 + ... + 643225.

It is an arithmetic number, because the mean of its divisors is an integer number (874459800).

Almost surely, 243703670040 is an apocalyptic number.

43703670040 is a gapful number since it is divisible by the number (40) 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 43703670040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55965427200).

43703670040 is an abundant number, since it is smaller than the sum of its proper divisors (68227184360).

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

43703670040 is a wasteful number, since it uses less digits than its factorization.

43703670040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72065 (or 72061 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 34.

The spelling of 43703670040 in words is "forty-three billion, seven hundred three million, six hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 47 68 76 85 94 95 136 152 170 188 190 235 323 340 376 380 470 646 680 760 799 893 940 1292 1598 1615 1786 1880 2584 3196 3230 3572 3995 4465 6392 6460 7144 7990 8930 12920 15181 15980 17860 30362 31960 35720 60724 71971 75905 121448 143942 151810 287884 303620 359855 575768 607240 719710 1223507 1367449 1439420 2447014 2734898 2878840 3382637 4894028 5469796 6117535 6765274 6837245 9788056 10939592 12235070 13530548 13674490 16913185 23246633 24470140 27061096 27348980 33826370 46493266 48940280 54697960 57504829 64270103 67652740 92986532 115009658 116233165 128540206 135305480 185973064 230019316 232466330 257080412 287524145 321350515 460038632 464932660 514160824 575048290 642701030 929865320 1092591751 1150096580 1285402060 2185183502 2300193160 2570804120 4370367004 5462958755 8740734008 10925917510 21851835020 43703670040