Search a number
-
+
402642143200 = 255211391111699
BaseRepresentation
bin1011101101111110101…
…01111000011111100000
31102111021211020011002101
411312333111320133200
523044102342040300
6504545442300144
741042563514263
oct5667725703740
91374254204071
10402642143200
11145839aa1720
1266050057654
132bc79b4849b
14156b9054cda
15a718850b6a
hex5dbf5787e0

402642143200 has 144 divisors (see below), whose sum is σ = 1072675094400. Its totient is φ = 146365376000.

The previous prime is 402642143179. The next prime is 402642143213. The reversal of 402642143200 is 2341246204.

It is a super-3 number, since 3×4026421432003 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34410951 + ... + 34422649.

It is an arithmetic number, because the mean of its divisors is an integer number (7449132600).

Almost surely, 2402642143200 is an apocalyptic number.

402642143200 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 402642143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536337547200).

402642143200 is an abundant number, since it is smaller than the sum of its proper divisors (670032951200).

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

402642143200 is a wasteful number, since it uses less digits than its factorization.

402642143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15641 (or 15628 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 402642143200 its reverse (2341246204), we get a palindrome (404983389404).

The spelling of 402642143200 in words is "four hundred two billion, six hundred forty-two million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 3911 4400 7822 8800 11699 15644 19555 23398 31288 39110 43021 46796 58495 62576 78220 86042 93592 97775 116990 125152 128689 156440 172084 187184 195550 215105 233980 257378 292475 312880 344168 374368 391100 430210 467960 514756 584950 625760 643445 688336 782200 860420 935920 1029512 1075525 1169900 1286890 1376672 1564400 1720840 1871840 2059024 2151050 2339800 2573780 3128800 3217225 3441680 4118048 4302100 4679600 5147560 6434450 6883360 8604200 9359200 10295120 12868900 17208400 20590240 25737800 34416800 45754789 51475600 91509578 102951200 183019156 228773945 366038312 457547890 503302679 732076624 915095780 1006605358 1143869725 1464153248 1830191560 2013210716 2287739450 2516513395 3660383120 4026421432 4575478900 5033026790 7320766240 8052842864 9150957800 10066053580 12582566975 16105685728 18301915600 20132107160 25165133950 36603831200 40264214320 50330267900 80528428640 100660535800 201321071600 402642143200