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402041255200 = 255213172273989
BaseRepresentation
bin1011101100110111000…
…01101011010100100000
31102102201221112212201021
411312123201223110200
523041340030131300
6504410055215224
741021646166234
oct5663341532440
91372657485637
10402041255200
11145560897672
1265b02977514
132bbb24cb660
141565d31a5c4
15a6d0c09d1a
hex5d9b86b520

402041255200 has 144 divisors (see below), whose sum is σ = 1119157822440. Its totient is φ = 139713822720.

The previous prime is 402041255191. The next prime is 402041255207. The reversal of 402041255200 is 2552140204.

It can be written as a sum of positive squares in 12 ways, for example, as 44145371664 + 357895883536 = 210108^2 + 598244^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (402041255207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 960195 + ... + 1313794.

Almost surely, 2402041255200 is an apocalyptic number.

402041255200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402041255200 is an abundant number, since it is smaller than the sum of its proper divisors (717116567240).

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

402041255200 is a wasteful number, since it uses less digits than its factorization.

402041255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274039 (or 2274026 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 402041255200 its reverse (2552140204), we get a palindrome (404593395404).

The spelling of 402041255200 in words is "four hundred two billion, forty-one million, two hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 65 68 80 85 100 104 130 136 160 170 200 208 221 260 272 325 340 400 416 425 442 520 544 650 680 800 850 884 1040 1105 1300 1360 1700 1768 2080 2210 2600 2720 3400 3536 4420 5200 5525 6800 7072 8840 10400 11050 13600 17680 22100 35360 44200 88400 176800 2273989 4547978 9095956 11369945 18191912 22739890 29561857 36383824 38657813 45479780 56849725 59123714 72767648 77315626 90959560 113699450 118247428 147809285 154631252 181919120 193289065 227398900 236494856 295618570 309262504 363838240 386578130 454797800 472989712 502551569 591237140 618525008 739046425 773156260 909595600 945979424 966445325 1005103138 1182474280 1237050016 1478092850 1546312520 1819191200 1932890650 2010206276 2364948560 2512757845 2956185700 3092625040 3865781300 4020412552 4729897120 5025515690 5912371400 6185250080 7731562600 8040825104 10051031380 11824742800 12563789225 15463125200 16081650208 20102062760 23649485600 25127578450 30926250400 40204125520 50255156900 80408251040 100510313800 201020627600 402041255200