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14862045840 = 2435241263977
BaseRepresentation
bin11011101011101100…
…01101001010010000
31102100202120011011020
431311312031022100
5220414140431330
610454425115440
71034203206465
oct156566151220
942322504136
1014862045840
116337268014
122a69328b80
13152b0a6c85
14a0db9366c
155beb64210
hex375d8d290

14862045840 has 160 divisors (see below), whose sum is σ = 46486953216. Its totient is φ = 3927736320.

The previous prime is 14862045817. The next prime is 14862045851. The reversal of 14862045840 is 4854026841.

14862045840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148620458402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14862045792 and 14862045801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15211432 + ... + 15212408.

Almost surely, 214862045840 is an apocalyptic number.

14862045840 is a gapful number since it is divisible by the number (10) 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 14862045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23243476608).

14862045840 is an abundant number, since it is smaller than the sum of its proper divisors (31624907376).

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

14862045840 is a wasteful number, since it uses less digits than its factorization.

14862045840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 14862045840 in words is "fourteen billion, eight hundred sixty-two million, forty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 241 263 482 526 723 789 964 977 1052 1205 1315 1446 1578 1928 1954 2104 2410 2630 2892 2931 3156 3615 3856 3908 3945 4208 4820 4885 5260 5784 5862 6312 7230 7816 7890 9640 9770 10520 11568 11724 12624 14460 14655 15632 15780 19280 19540 21040 23448 28920 29310 31560 39080 46896 57840 58620 63120 63383 78160 117240 126766 190149 234480 235457 253532 256951 316915 380298 470914 507064 513902 633830 706371 760596 770853 941828 950745 1014128 1027804 1177285 1267660 1284755 1412742 1521192 1541706 1883656 1901490 2055608 2354570 2535320 2569510 2825484 3042384 3083412 3531855 3767312 3802980 3854265 4111216 4709140 5070640 5139020 5650968 6166824 7063710 7605960 7708530 9418280 10278040 11301936 12333648 14127420 15211920 15417060 18836560 20556080 28254840 30834120 56509680 61668240 61925191 123850382 185775573 247700764 309625955 371551146 495401528 619251910 743102292 928877865 990803056 1238503820 1486204584 1857755730 2477007640 2972409168 3715511460 4954015280 7431022920 14862045840