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412000621040 = 245233717334981
BaseRepresentation
bin1011111111011010010…
…01101001000111110000
31110101110000212002020202
411333231021221013300
523222234124333130
6513134231054332
741523521332241
oct5775511510760
91411400762222
10412000621040
11149801678628
1267a222113a8
132cb0b95c738
1415d25d02cc8
15aab523d145
hex5fed2691f0

412000621040 has 160 divisors (see below), whose sum is σ = 1032527592576. Its totient is φ = 152483696640.

The previous prime is 412000621031. The next prime is 412000621157. The reversal of 412000621040 is 40126000214.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11760350 + ... + 11795330.

Almost surely, 2412000621040 is an apocalyptic number.

412000621040 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 412000621040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516263796288).

412000621040 is an abundant number, since it is smaller than the sum of its proper divisors (620526971536).

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

412000621040 is a wasteful number, since it uses less digits than its factorization.

412000621040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35227 (or 35221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 412000621040 its reverse (40126000214), we get a palindrome (452126621254).

The spelling of 412000621040 in words is "four hundred twelve billion, six hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 37 40 46 74 80 92 115 148 173 184 185 230 296 346 368 370 460 592 692 740 851 865 920 1384 1480 1702 1730 1840 2768 2960 3404 3460 3979 4255 6401 6808 6920 7958 8510 12802 13616 13840 15916 17020 19895 25604 31832 32005 34040 34981 39790 51208 63664 64010 68080 69962 79580 102416 128020 139924 147223 159160 174905 256040 279848 294446 318320 349810 512080 559696 588892 699620 736115 804563 1177784 1294297 1399240 1472230 1609126 2355568 2588594 2798480 2944460 3218252 4022815 5177188 5888920 6051713 6436504 6471485 8045630 10354376 11777840 12103426 12873008 12942970 16091260 20708752 24206852 25885940 29768831 30258565 32182520 48413704 51771880 59537662 60517130 64365040 96827408 103543760 119075324 121034260 139189399 148844155 223913381 238150648 242068520 278378798 297688310 447826762 476301296 484137040 556757596 595376620 695946995 895653524 1113515192 1119566905 1190753240 1391893990 1791307048 2227030384 2239133810 2381506480 2783787980 3582614096 4478267620 5150007763 5567575960 8956535240 10300015526 11135151920 17913070480 20600031052 25750038815 41200062104 51500077630 82400124208 103000155260 206000310520 412000621040