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402200012144 = 247291372573517
BaseRepresentation
bin1011101101001001111…
…11010010010101110000
31102110011000021120022002
411312210333102111300
523042201200342034
6504433530033132
741025614460410
oct5664477222560
91373130246262
10402200012144
11145632470057
1265b47b787a8
132bc09375388
1415676444640
15a6deb18e7e
hex5da4fd2570

402200012144 has 160 divisors (see below), whose sum is σ = 931896247680. Its totient is φ = 164523147264.

The previous prime is 402200012107. The next prime is 402200012147. The reversal of 402200012144 is 441210002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402200012147) 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, 114357074 + ... + 114360590.

It is an arithmetic number, because the mean of its divisors is an integer number (5824351548).

Almost surely, 2402200012144 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 402200012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465948123840).

402200012144 is an abundant number, since it is smaller than the sum of its proper divisors (529696235536).

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

402200012144 is a wasteful number, since it uses less digits than its factorization.

402200012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 402200012144 its reverse (441210002204), we get a palindrome (843410014348).

The spelling of 402200012144 in words is "four hundred two billion, two hundred million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 137 203 232 257 274 406 464 514 548 812 959 1028 1096 1624 1799 1918 2056 2192 3248 3517 3598 3836 3973 4112 7034 7196 7453 7672 7946 14068 14392 14906 15344 15892 24619 27811 28136 28784 29812 31784 35209 49238 52171 55622 56272 59624 63568 70418 98476 101993 104342 111244 119248 140836 196952 203986 208684 222488 246463 281672 393904 407972 417368 444976 481829 492926 563344 713951 815944 834736 903869 963658 985852 1021061 1427902 1631888 1807738 1927316 1971704 2042122 2855804 3372803 3615476 3854632 3943408 4084244 5711608 6327083 6745606 7147427 7230952 7709264 8168488 11423216 12654166 13491212 13973041 14294854 14461904 16336976 25308332 26212201 26982424 27946082 28589708 50616664 52424402 53964848 55892164 57179416 97811287 101233328 104848804 111784328 114358832 123830053 183485407 195622574 209697608 223568656 247660106 366970814 391245148 419395216 495320212 733941628 782490296 866810371 990640424 1467883256 1564980592 1733620742 1981280848 2935766512 3467241484 3591071537 6934482968 7182143074 13868965936 14364286148 25137500759 28728572296 50275001518 57457144592 100550003036 201100006072 402200012144