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73841245440 = 2835101190391
BaseRepresentation
bin100010011000101000…
…1111111110100000000
321001121010022221000020
41010301101333310000
52202211324323230
653531110053440
75222566141644
oct1046121776400
9231533287006
1073841245440
1129352504686
121238934a280
136c6a1c3451
143806c42c24
151dc2977810
hex113147fd00

73841245440 has 144 divisors (see below), whose sum is σ = 238166683776. Its totient is φ = 19495936000.

The previous prime is 73841245427. The next prime is 73841245451. The reversal of 73841245440 is 4454214837.

It is a junction number, because it is equal to n+sod(n) for n = 73841245392 and 73841245401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292645 + ... + 483035.

It is an arithmetic number, because the mean of its divisors is an integer number (1653935304).

Almost surely, 273841245440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73841245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119083341888).

73841245440 is an abundant number, since it is smaller than the sum of its proper divisors (164325438336).

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

73841245440 is a wasteful number, since it uses less digits than its factorization.

73841245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190516 (or 190502 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 73841245440 in words is "seventy-three billion, eight hundred forty-one million, two hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 128 160 192 202 240 256 303 320 384 404 480 505 606 640 768 808 960 1010 1212 1280 1515 1616 1920 2020 2424 3030 3232 3840 4040 4848 6060 6464 8080 9696 12120 12928 16160 19392 24240 25856 32320 38784 48480 64640 77568 96960 129280 190391 193920 380782 387840 571173 761564 951955 1142346 1523128 1903910 2284692 2855865 3046256 3807820 4569384 5711730 6092512 7615640 9138768 11423460 12185024 15231280 18277536 19229491 22846920 24370048 30462560 36555072 38458982 45693840 48740096 57688473 60925120 73110144 76917964 91387680 96147455 115376946 121850240 146220288 153835928 182775360 192294910 230753892 243700480 288442365 307671856 365550720 384589820 461507784 576884730 615343712 731101440 769179640 923015568 1153769460 1230687424 1538359280 1846031136 2307538920 2461374848 3076718560 3692062272 4615077840 4922749696 6153437120 7384124544 9230155680 12306874240 14768249088 18460311360 24613748480 36920622720 73841245440