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4445234040 = 23351341297
BaseRepresentation
bin1000010001111010…
…01110001101111000
3102110210111021201210
410020331032031320
533100434442130
62013032443120
7215104603002
oct41075161570
912423437653
104445234040
111981245145
12a408494a0
1355ac40000
14302531372
151b03c15b0
hex108f4e378

4445234040 has 160 divisors (see below), whose sum is σ = 14458110480. Its totient is φ = 1093367808.

The previous prime is 4445234021. The next prime is 4445234051. The reversal of 4445234040 is 404325444.

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 = 4445233989 and 4445234007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3426672 + ... + 3427968.

Almost surely, 24445234040 is an apocalyptic number.

4445234040 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 4445234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229055240).

4445234040 is an abundant number, since it is smaller than the sum of its proper divisors (10012876440).

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

4445234040 is a wasteful number, since it uses less digits than its factorization.

4445234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 4445234040 is about 66672.5883703340. The cubic root of 4445234040 is about 1644.2387426262.

Adding to 4445234040 its reverse (404325444), we get a palindrome (4849559484).

The spelling of 4445234040 in words is "four billion, four hundred forty-five million, two hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1297 1352 1560 1690 2028 2197 2535 2594 3380 3891 4056 4394 5070 5188 6485 6591 6760 7782 8788 10140 10376 10985 12970 13182 15564 16861 17576 19455 20280 21970 25940 26364 28561 31128 32955 33722 38910 43940 50583 51880 52728 57122 65910 67444 77820 84305 85683 87880 101166 114244 131820 134888 142805 155640 168610 171366 202332 219193 228488 252915 263640 285610 337220 342732 404664 428415 438386 505830 571220 657579 674440 685464 856830 876772 1011660 1095965 1142440 1315158 1713660 1753544 2023320 2191930 2630316 2849509 3287895 3427320 4383860 5260632 5699018 6575790 8548527 8767720 11398036 13151580 14247545 17097054 22796072 26303160 28495090 34194108 37043617 42742635 56990180 68388216 74087234 85485270 111130851 113980360 148174468 170970540 185218085 222261702 296348936 341941080 370436170 444523404 555654255 740872340 889046808 1111308510 1481744680 2222617020 4445234040