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2145430501456 = 241143676736287
BaseRepresentation
bin11111001110000101100…
…111110111100001010000
321121002201201222210020211
4133032011213313201100
5240122320202021311
64321332553213504
7311000524241104
oct37160547674120
97532651883224
102145430501456
11757965650060
122a7970401294
1312740c215828
1475ba7403904
153ac1a841821
hex1f3859f7850

2145430501456 has 160 divisors (see below), whose sum is σ = 4717120370688. Its totient is φ = 936756817920.

The previous prime is 2145430501429. The next prime is 2145430501457. The reversal of 2145430501456 is 6541050345412.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145430501457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341245545 + ... + 341251831.

Almost surely, 22145430501456 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 2145430501456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358560185344).

2145430501456 is an abundant number, since it is smaller than the sum of its proper divisors (2571689869232).

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

2145430501456 is a wasteful number, since it uses less digits than its factorization.

2145430501456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

Adding to 2145430501456 its reverse (6541050345412), we get a palindrome (8686480846868).

The spelling of 2145430501456 in words is "two trillion, one hundred forty-five billion, four hundred thirty million, five hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 67 86 88 134 172 176 268 344 473 536 673 688 737 946 1072 1346 1474 1892 2692 2881 2948 3784 5384 5762 5896 6287 7403 7568 10768 11524 11792 12574 14806 23048 25148 28939 29612 31691 45091 46096 50296 57878 59224 63382 69157 90182 100592 115756 118448 126764 138314 180364 231512 253528 270341 276628 318329 360728 421229 463024 496001 507056 540682 553256 636658 721456 842458 992002 1081364 1106512 1273316 1684916 1938913 1984004 2162728 2546632 2973751 3369832 3877826 3968008 4231151 4325456 4633519 5093264 5947502 6739664 7755652 7936016 8462302 9267038 11895004 15511304 16924604 18112847 18534076 21328043 23790008 31022608 33849208 36225694 37068152 42656086 46542661 47580016 67698416 72451388 74136304 85312172 93085322 144902776 170624344 181939493 186170644 199241317 283487117 289805552 341248688 363878986 372341288 398482634 566974234 727757972 744682576 796965268 1133948468 1455515944 1593930536 2001334423 2267896936 2911031888 3118358287 3187861072 4002668846 4535793872 6236716574 8005337692 12189946031 12473433148 16010675384 24379892062 24946866296 32021350768 48759784124 49893732592 97519568248 134089406341 195039136496 268178812682 536357625364 1072715250728 2145430501456