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4341442151040 = 27352977971303
BaseRepresentation
bin111111001011010010000…
…111100000001010000000
3120101001000120100010111020
4333023102013200022000
51032112233142313130
613122233032145440
7625441661256321
oct77132207401200
916331016303436
104341442151040
111424216a05375
125a1498238280
1325651c6c5cb7
141101ac3b4448
1577de6a6ee10
hex3f2d21e0280

4341442151040 has 128 divisors (see below), whose sum is σ = 14315531414400. Its totient is φ = 1117796585472.

The previous prime is 4341442151009. The next prime is 4341442151041. The reversal of 4341442151040 is 401512441434.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4341442150992 and 4341442151010.

It is not an unprimeable number, because it can be changed into a prime (4341442151041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38929972 + ... + 39041331.

It is an arithmetic number, because the mean of its divisors is an integer number (111840089175).

Almost surely, 24341442151040 is an apocalyptic number.

4341442151040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4341442151040 is an abundant number, since it is smaller than the sum of its proper divisors (9974089263360).

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

4341442151040 is a wasteful number, since it uses less digits than its factorization.

4341442151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77971354 (or 77971342 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 4341442151040 its reverse (401512441434), we get a palindrome (4742954592474).

The spelling of 4341442151040 in words is "four trillion, three hundred forty-one billion, four hundred forty-two million, one hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 77971303 155942606 233913909 311885212 389856515 467827818 623770424 779713030 935655636 1169569545 1247540848 1559426060 1871311272 2261167787 2339139090 2495081696 3118852120 3742622544 4522335574 4678278180 4990163392 6237704240 6783503361 7485245088 9044671148 9356556360 9980326784 11305838935 12475408480 13567006722 14970490176 18089342296 18713112720 22611677870 24950816960 27134013444 29940980352 33917516805 36178684592 37426225440 45223355740 49901633920 54268026888 67835033610 72357369184 74852450880 90446711480 108536053776 135670067220 144714738368 149704901760 180893422960 217072107552 271340134440 289429476736 361786845920 434144215104 542680268880 723573691840 868288430208 1085360537760 1447147383680 2170721075520 4341442151040