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400210021050 = 235272190128643
BaseRepresentation
bin1011101001011100110…
…00000100101010111010
31102021000022202112201020
411310232120010222322
523024112231133200
6503504241403310
740625402023200
oct5645630045272
91367008675636
10400210021050
1114480113a314
1265691639536
132b97ccc3958
1415528033070
15a625081ea0
hex5d2e604aba

400210021050 has 144 divisors (see below), whose sum is σ = 1155212749152. Its totient is φ = 91425264000.

The previous prime is 400210021033. The next prime is 400210021103. The reversal of 400210021050 is 50120012004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13958029 + ... + 13986671.

It is an arithmetic number, because the mean of its divisors is an integer number (8022310758).

Almost surely, 2400210021050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400210021050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577606374576).

400210021050 is an abundant number, since it is smaller than the sum of its proper divisors (755002728102).

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

400210021050 is a wasteful number, since it uses less digits than its factorization.

400210021050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30573 (or 30561 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 400210021050 its reverse (50120012004), we get a palindrome (450330033054).

The spelling of 400210021050 in words is "four hundred billion, two hundred ten million, twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 1901 2450 3675 3802 5703 7350 9505 11406 13307 19010 26614 28515 28643 39921 47525 57030 57286 66535 79842 85929 93149 95050 133070 142575 143215 171858 186298 199605 200501 279447 285150 286430 332675 399210 401002 429645 465745 558894 601503 665350 716075 859290 931490 998025 1002505 1203006 1397235 1403507 1432150 1996050 2005010 2148225 2328725 2794470 2807014 3007515 4210521 4296450 4657450 5012525 6015030 6986175 7017535 8421042 10025050 13972350 14035070 15037575 21052605 30075150 35087675 42105210 54450343 70175350 105263025 108900686 163351029 210526050 272251715 326702058 381152401 544503430 762304802 816755145 1143457203 1361258575 1633510290 1905762005 2286914406 2668066807 2722517150 3811524010 4083775725 5336133614 5717286015 8004200421 8167551450 9528810025 11434572030 13340334035 16008400842 19057620050 26680668070 28586430075 40021002105 57172860150 66701670175 80042004210 133403340350 200105010525 400210021050