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45145422120 = 23352373224069
BaseRepresentation
bin101010000010111000…
…000111100100101000
311022112021002001201010
4222002320013210220
51214424212001440
632423423023520
73155513520321
oct520270074450
9138467061633
1045145422120
1118167460917
1288bb13aba0
134346099436
142283ac5448
1512935b6580
hexa82e07928

45145422120 has 128 divisors (see below), whose sum is σ = 143261395200. Its totient is φ = 11357558784.

The previous prime is 45145422103. The next prime is 45145422191. The reversal of 45145422120 is 2122454154.

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

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, 89446 + ... + 313514.

It is an arithmetic number, because the mean of its divisors is an integer number (1119229650).

Almost surely, 245145422120 is an apocalyptic number.

45145422120 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 45145422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71630697600).

45145422120 is an abundant number, since it is smaller than the sum of its proper divisors (98115973080).

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

45145422120 is a wasteful number, since it uses less digits than its factorization.

45145422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224179 (or 224175 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 45145422120 its reverse (2122454154), we get a palindrome (47267876274).

The spelling of 45145422120 in words is "forty-five billion, one hundred forty-five million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 73 92 115 120 138 146 184 219 230 276 292 345 365 438 460 552 584 690 730 876 920 1095 1380 1460 1679 1752 2190 2760 2920 3358 4380 5037 6716 8395 8760 10074 13432 16790 20148 25185 33580 40296 50370 67160 100740 201480 224069 448138 672207 896276 1120345 1344414 1792552 2240690 2688828 3361035 4481380 5153587 5377656 6722070 8962760 10307174 13444140 15460761 16357037 20614348 25767935 26888280 30921522 32714074 41228696 49071111 51535870 61843044 65428148 77303805 81785185 98142222 103071740 123686088 130856296 154607610 163570370 196284444 206143480 245355555 309215220 327140740 376211851 392568888 490711110 618430440 654281480 752423702 981422220 1128635553 1504847404 1881059255 1962844440 2257271106 3009694808 3762118510 4514542212 5643177765 7524237020 9029084424 11286355530 15048474040 22572711060 45145422120