Search a number
-
+
4412342142240 = 253524517374939
BaseRepresentation
bin100000000110101010000…
…0101100000010100100000
3120121211000201011212012020
41000031110011200110200
51034242434042022430
613215000233101440
7633531644250114
oct100152405402440
916554021155166
104412342142240
11145129a12311a
125b3184557880
1326010b433006
141137b6743744
1579b961a9b10
hex40354160520

4412342142240 has 96 divisors (see below), whose sum is σ = 13899481727040. Its totient is φ = 1176573441024.

The previous prime is 4412342142233. The next prime is 4412342142259. The reversal of 4412342142240 is 422412432144.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11580691 + ... + 11955629.

It is an arithmetic number, because the mean of its divisors is an integer number (144786267990).

Almost surely, 24412342142240 is an apocalyptic number.

4412342142240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412342142240 is an abundant number, since it is smaller than the sum of its proper divisors (9487139584800).

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

4412342142240 is a wasteful number, since it uses less digits than its factorization.

4412342142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399474 (or 399466 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4412342142240 its reverse (422412432144), we get a palindrome (4834754574384).

The spelling of 4412342142240 in words is "four trillion, four hundred twelve billion, three hundred forty-two million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24517 49034 73551 98068 122585 147102 196136 245170 294204 367755 374939 392272 490340 588408 735510 749878 784544 980680 1124817 1176816 1471020 1499756 1874695 1961360 2249634 2353632 2942040 2999512 3749390 3922720 4499268 5624085 5884080 5999024 7498780 8998536 11248170 11768160 11998048 14997560 17997072 22496340 29995120 35994144 44992680 59990240 89985360 179970720 9192379463 18384758926 27577138389 36769517852 45961897315 55154276778 73539035704 91923794630 110308553556 137885691945 147078071408 183847589260 220617107112 275771383890 294156142816 367695178520 441234214224 551542767780 735390357040 882468428448 1103085535560 1470780714080 2206171071120 4412342142240