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45440104440 = 23351723993199
BaseRepresentation
bin101010010100011100…
…001111011111111000
311100021210120110212010
4222110130033133320
51221030131320230
632512551045520
73166022341413
oct522434173770
9140253513763
1045440104440
11182a8833025
1289819708a0
134392154983
1422b0cb2b7a
1512ae3c49b0
hexa9470f7f8

45440104440 has 128 divisors (see below), whose sum is σ = 144944640000. Its totient is φ = 11356735488.

The previous prime is 45440104429. The next prime is 45440104453. The reversal of 45440104440 is 4440104454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45440104398 and 45440104407.

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, 440961 + ... + 534159.

It is an arithmetic number, because the mean of its divisors is an integer number (1132380000).

Almost surely, 245440104440 is an apocalyptic number.

45440104440 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 45440104440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72472320000).

45440104440 is an abundant number, since it is smaller than the sum of its proper divisors (99504535560).

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

45440104440 is a wasteful number, since it uses less digits than its factorization.

45440104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93469 (or 93465 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 45440104440 its reverse (4440104454), we get a palindrome (49880208894).

The spelling of 45440104440 in words is "forty-five billion, four hundred forty million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 239 255 340 408 478 510 680 717 956 1020 1195 1434 1912 2040 2390 2868 3585 4063 4780 5736 7170 8126 9560 12189 14340 16252 20315 24378 28680 32504 40630 48756 60945 81260 93199 97512 121890 162520 186398 243780 279597 372796 465995 487560 559194 745592 931990 1118388 1397985 1584383 1863980 2236776 2795970 3168766 3727960 4753149 5591940 6337532 7921915 9506298 11183880 12675064 15843830 19012596 22274561 23765745 31687660 38025192 44549122 47531490 63375320 66823683 89098244 95062980 111372805 133647366 178196488 190125960 222745610 267294732 334118415 378667537 445491220 534589464 668236830 757335074 890982440 1136002611 1336473660 1514670148 1893337685 2272005222 2672947320 3029340296 3786675370 4544010444 5680013055 7573350740 9088020888 11360026110 15146701480 22720052220 45440104440