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402213214000 = 245313107144577
BaseRepresentation
bin1011101101001011100…
…01101001011100110000
31102110011221010021211201
411312211301221130300
523042213040322000
6504435121020544
741026134623653
oct5664561513460
91373157107751
10402213214000
11145639967884
1265b50484754
132bc0c018420
14156780bd89a
15a6e0d7596a
hex5da5c69730

402213214000 has 160 divisors (see below), whose sum is σ = 1057158962496. Its totient is φ = 147120537600.

The previous prime is 402213213967. The next prime is 402213214001. The reversal of 402213214000 is 412312204.

It is a super-3 number, since 3×4022132140003 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (402213214001) 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, 2709712 + ... + 2854288.

Almost surely, 2402213214000 is an apocalyptic number.

402213214000 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 402213214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528579481248).

402213214000 is an abundant number, since it is smaller than the sum of its proper divisors (654945748496).

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

402213214000 is a wasteful number, since it uses less digits than its factorization.

402213214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144720 (or 144704 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 402213214000 its reverse (412312204), we get a palindrome (402625526204).

The spelling of 402213214000 in words is "four hundred two billion, two hundred thirteen million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 107 125 130 200 208 214 250 260 325 400 428 500 520 535 650 856 1000 1040 1070 1300 1391 1625 1712 2000 2140 2600 2675 2782 3250 4280 5200 5350 5564 6500 6955 8560 10700 11128 13000 13375 13910 21400 22256 26000 26750 27820 34775 42800 53500 55640 69550 107000 111280 139100 144577 173875 214000 278200 289154 347750 556400 578308 695500 722885 1156616 1391000 1445770 1879501 2313232 2782000 2891540 3614425 3759002 5783080 7228850 7518004 9397505 11566160 14457700 15036008 15469739 18072125 18795010 28915400 30072016 30939478 36144250 37590020 46987525 57830800 61878956 72288500 75180040 77348695 93975050 123757912 144577000 150360080 154697390 187950100 201106607 234937625 247515824 289154000 309394780 375900200 386743475 402213214 469875250 618789560 751800400 773486950 804426428 939750500 1005533035 1237579120 1546973900 1608852856 1879501000 1933717375 2011066070 3093947800 3217705712 3759002000 3867434750 4022132140 5027665175 6187895600 7734869500 8044264280 10055330350 15469739000 16088528560 20110660700 25138325875 30939478000 40221321400 50276651750 80442642800 100553303500 201106607000 402213214000