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645155143440 = 243531701123701
BaseRepresentation
bin10010110001101100011…
…11100011111100010000
32021200020222020000100020
421120312033203330100
541032234204042230
61212214041423440
764416355144353
oct11306617437420
92250228200306
10645155143440
11229677294165
12a505119ab80
1348ab7a4b6b2
142332337a29a
1511bae204810
hex96363e3f10

645155143440 has 160 divisors (see below), whose sum is σ = 2067458245632. Its totient is φ = 166252800000.

The previous prime is 645155143429. The next prime is 645155143453. The reversal of 645155143440 is 44341551546.

645155143440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 645155143392 and 645155143401.

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, 5153590 + ... + 5277290.

Almost surely, 2645155143440 is an apocalyptic number.

645155143440 is a gapful number since it is divisible by the number (60) 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 645155143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033729122816).

645155143440 is an abundant number, since it is smaller than the sum of its proper divisors (1422303102192).

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

645155143440 is a wasteful number, since it uses less digits than its factorization.

645155143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124449 (or 124443 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 645155143440 its reverse (44341551546), we get a palindrome (689496694986).

The spelling of 645155143440 in words is "six hundred forty-five billion, one hundred fifty-five million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 701 744 930 1240 1402 1488 1860 2103 2480 2804 3505 3720 4206 5608 7010 7440 8412 10515 11216 14020 16824 21030 21731 28040 33648 42060 43462 56080 65193 84120 86924 108655 123701 130386 168240 173848 217310 247402 260772 325965 347696 371103 434620 494804 521544 618505 651930 742206 869240 989608 1043088 1237010 1303860 1484412 1738480 1855515 1979216 2474020 2607720 2968824 3711030 3834731 4948040 5215440 5937648 7422060 7669462 9896080 11504193 14844120 15338924 19173655 23008386 29688240 30677848 38347310 46016772 57520965 61355696 76694620 86714401 92033544 115041930 153389240 173428802 184067088 230083860 260143203 306778480 346857604 433572005 460167720 520286406 693715208 867144010 920335440 1040572812 1300716015 1387430416 1734288020 2081145624 2601432030 2688146431 3468576040 4162291248 5202864060 5376292862 6937152080 8064439293 10405728120 10752585724 13440732155 16128878586 20811456240 21505171448 26881464310 32257757172 40322196465 43010342896 53762928620 64515514344 80644392930 107525857240 129031028688 161288785860 215051714480 322577571720 645155143440