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5142067440 = 2435731272311
BaseRepresentation
bin1001100100111110…
…11011100011110000
3111021100201002110020
410302133123203300
541012332124230
62210124203440
7241265565156
oct46237334360
914240632406
105142067440
1121a9621414
12bb6099580
1363c410c73
1436acc33d6
1520166a810
hex1327db8f0

5142067440 has 160 divisors (see below), whose sum is σ = 16293052416. Its totient is φ = 1341204480.

The previous prime is 5142067423. The next prime is 5142067453. The reversal of 5142067440 is 447602415.

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, 2223885 + ... + 2226195.

Almost surely, 25142067440 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 5142067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146526208).

5142067440 is an abundant number, since it is smaller than the sum of its proper divisors (11150984976).

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

5142067440 is a wasteful number, since it uses less digits than its factorization.

5142067440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 5142067440 is about 71708.2104085718. The cubic root of 5142067440 is about 1726.0203935545.

Adding to 5142067440 its reverse (447602415), we get a palindrome (5589669855).

The spelling of 5142067440 in words is "five billion, one hundred forty-two million, sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 127 146 219 240 254 292 365 381 438 508 584 635 730 762 876 1016 1095 1168 1270 1460 1524 1752 1905 2032 2190 2311 2540 2920 3048 3504 3810 4380 4622 5080 5840 6096 6933 7620 8760 9244 9271 10160 11555 13866 15240 17520 18488 18542 23110 27732 27813 30480 34665 36976 37084 46220 46355 55464 55626 69330 74168 92440 92710 110928 111252 138660 139065 148336 168703 184880 185420 222504 277320 278130 293497 337406 370840 445008 506109 554640 556260 586994 674812 741680 843515 880491 1012218 1112520 1173988 1349624 1467485 1687030 1760982 2024436 2225040 2347976 2530545 2699248 2934970 3374060 3521964 4048872 4402455 4695952 5061090 5869940 6748120 7043928 8097744 8804910 10122180 11739880 13496240 14087856 17609820 20244360 21425281 23479760 35219640 40488720 42850562 64275843 70439280 85701124 107126405 128551686 171402248 214252810 257103372 321379215 342804496 428505620 514206744 642758430 857011240 1028413488 1285516860 1714022480 2571033720 5142067440