Search a number
-
+
4121340334320 = 2435112141919433
BaseRepresentation
bin111011111110010011000…
…001101101000011110000
3112120222220021221100110110
4323332103001231003300
51020011001111144240
612433152334301320
7603520440555546
oct73762301550360
915528807840413
104121340334320
11134993a1a2800
125668b0657840
1323b8438a0821
1410368c6a5d96
157231396bc80
hex3bf9306d0f0

4121340334320 has 120 divisors (see below), whose sum is σ = 14043211833168. Its totient is φ = 999112801280.

The previous prime is 4121340334303. The next prime is 4121340334333. The reversal of 4121340334320 is 234330431214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 70930677 + ... + 70988756.

Almost surely, 24121340334320 is an apocalyptic number.

4121340334320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4121340334320 is an abundant number, since it is smaller than the sum of its proper divisors (9921871498848).

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

4121340334320 is a wasteful number, since it uses less digits than its factorization.

4121340334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141919471 (or 141919454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 4121340334320 its reverse (234330431214), we get a palindrome (4355670765534).

The spelling of 4121340334320 in words is "four trillion, one hundred twenty-one billion, three hundred forty million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 141919433 283838866 425758299 567677732 709597165 851516598 1135355464 1419194330 1561113763 1703033196 2128791495 2270710928 2838388660 3122227526 3406066392 4257582990 4683341289 5676777320 6244455052 6812132784 7805568815 8515165980 9366682578 11353554640 12488910104 15611137630 17030331960 17172251393 18733365156 23416706445 24977820208 31222275260 34060663920 34344502786 37466730312 46833412890 51516754179 62444550520 68689005572 74933460624 85861256965 93666825780 103033508358 124889101040 137378011144 171722513930 187333651560 206067016716 257583770895 274756022288 343445027860 374667303120 412134033432 515167541790 686890055720 824268066864 1030335083580 1373780111440 2060670167160 4121340334320