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14111130431040 = 263531474164329
BaseRepresentation
bin1100110101011000000011…
…1010101010111001000000
31211222000021221102202222220
43031112000322222321000
53322144043342243130
650002321441531040
72654331652416246
oct315260072527100
954860257382886
1014111130431040
114550551285325
1216ba9b9043a80
137b489b6c7a56
1436ada7832796
151970e238d410
hexcd580eaae40

14111130431040 has 112 divisors (see below), whose sum is σ = 46248092090880. Its totient is φ = 3641582039040.

The previous prime is 14111130430981. The next prime is 14111130431147. The reversal of 14111130431040 is 4013403111141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14111130431040.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 237052405 + ... + 237111924.

Almost surely, 214111130431040 is an apocalyptic number.

14111130431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14111130431040 is an abundant number, since it is smaller than the sum of its proper divisors (32136961659840).

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

14111130431040 is a wasteful number, since it uses less digits than its factorization.

14111130431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474164380 (or 474164370 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 14111130431040 its reverse (4013403111141), we get a palindrome (18124533542181).

The spelling of 14111130431040 in words is "fourteen trillion, one hundred eleven billion, one hundred thirty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 5952 7440 9920 14880 29760 474164329 948328658 1422492987 1896657316 2370821645 2844985974 3793314632 4741643290 5689971948 7112464935 7586629264 9483286580 11379943896 14224929870 14699094199 15173258528 18966573160 22759887792 28449859740 29398188398 30346517056 37933146320 44097282597 45519775584 56899719480 58796376796 73495470995 75866292640 88194565194 91039551168 113799438960 117592753592 146990941990 151732585280 176389130388 220486412985 227598877920 235185507184 293981883980 352778260776 440972825970 455197755840 470371014368 587963767960 705556521552 881945651940 940742028736 1175927535920 1411113043104 1763891303880 2351855071840 2822226086208 3527782607760 4703710143680 7055565215520 14111130431040