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73401111040 = 295160117909
BaseRepresentation
bin100010001011100001…
…1000001001000000000
321000110110010210010011
41010113003001020000
52200311141023130
653415304314304
75205643102165
oct1042703011000
9230413123104
1073401111040
1129147017144
1212285a72994
136bc9c6c0aa
1437a45d206c
151d98ed752a
hex11170c1200

73401111040 has 80 divisors (see below), whose sum is σ = 176110391160. Its totient is φ = 29340467200.

The previous prime is 73401111029. The next prime is 73401111053. The reversal of 73401111040 is 4011110437.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 72227637504 + 1173473536 = 268752^2 + 34256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4089606 + ... + 4107514.

Almost surely, 273401111040 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 73401111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88055195580).

73401111040 is an abundant number, since it is smaller than the sum of its proper divisors (102709280120).

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

73401111040 is a wasteful number, since it uses less digits than its factorization.

73401111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19533 (or 19517 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 73401111040 its reverse (4011110437), we get a palindrome (77412221477).

The spelling of 73401111040 in words is "seventy-three billion, four hundred one million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 1601 2560 3202 6404 8005 12808 16010 17909 25616 32020 35818 51232 64040 71636 89545 102464 128080 143272 179090 204928 256160 286544 358180 409856 512320 573088 716360 819712 1024640 1146176 1432720 2049280 2292352 2865440 4098560 4584704 5730880 9169408 11461760 22923520 28672309 45847040 57344618 114689236 143361545 229378472 286723090 458756944 573446180 917513888 1146892360 1835027776 2293784720 3670055552 4587569440 7340111104 9175138880 14680222208 18350277760 36700555520 73401111040