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402242002000000 = 2756201121001
BaseRepresentation
bin101101101110101100100001…
…1101001001001100010000000
31221202012221220201120022210221
41123131121003221021202000
5410210313110003000000
63543255231422432424
7150504011534330041
oct13335310351114200
91852187821508727
10402242002000000
11107191969779978
1239145240732714
131435a347b7b316
14714888c6028c8
153178386bc261a
hex16dd643a49880

402242002000000 has 112 divisors (see below), whose sum is σ = 1001664043965810. Its totient is φ = 160896800000000.

The previous prime is 402242001999991. The next prime is 402242002000043. The reversal of 402242002000000 is 200242204.

It can be written as a sum of positive squares in 7 ways, for example, as 260725092296256 + 141516909703744 = 16146984^2 + 11896088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 98560501 + ... + 102560500.

Almost surely, 2402242002000000 is an apocalyptic number.

402242002000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402242002000000 is an abundant number, since it is smaller than the sum of its proper divisors (599422041965810).

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

402242002000000 is an frugal number, since it uses more digits than its factorization.

402242002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201121045 (or 201121008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 402242002000000 its reverse (200242204), we get a palindrome (402242202242204).

The spelling of 402242002000000 in words is "four hundred two trillion, two hundred forty-two billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 201121001 402242002 804484004 1005605005 1608968008 2011210010 3217936016 4022420020 5028025025 6435872032 8044840040 10056050050 12871744064 16089680080 20112100100 25140125125 25743488128 32179360160 40224200200 50280250250 64358720320 80448400400 100560500500 125700625625 128717440640 160896800800 201121001000 251401251250 321793601600 402242002000 502802502500 628503128125 643587203200 804484004000 1005605005000 1257006256250 1608968008000 2011210010000 2514012512500 3142515640625 3217936016000 4022420020000 5028025025000 6285031281250 8044840040000 10056050050000 12570062562500 16089680080000 20112100100000 25140125125000 40224200200000 50280250250000 80448400400000 100560500500000 201121001000000 402242002000000