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2030866878240 = 253251772979549
BaseRepresentation
bin11101100011011001000…
…110010100111100100000
321012011000121022201201200
4131203121012110330200
5231233203410100430
64152544541201200
7266503526432514
oct35433106247440
97164017281650
102030866878240
11713316454312
12289719260200
131196823c6c75
147041a0b2144
1537c62c8e460
hex1d8d9194f20

2030866878240 has 144 divisors (see below), whose sum is σ = 6930811251000. Its totient is φ = 541527146496.

The previous prime is 2030866878143. The next prime is 2030866878251. The reversal of 2030866878240 is 428786680302.

2030866878240 is a `hidden beast` number, since 20 + 308 + 6 + 6 + 8 + 78 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2030864407056 + 2471184 = 1425084^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 25489986 + ... + 25569534.

Almost surely, 22030866878240 is an apocalyptic number.

2030866878240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2030866878240 is an abundant number, since it is smaller than the sum of its proper divisors (4899944372760).

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

2030866878240 is a wasteful number, since it uses less digits than its factorization.

2030866878240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97299 (or 97288 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2030866878240 in words is "two trillion, thirty billion, eight hundred sixty-six million, eight hundred seventy-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 17729 35458 53187 70916 79549 88645 106374 141832 159098 159561 177290 212748 238647 265935 283664 318196 319122 354580 397745 425496 477294 531870 567328 636392 638244 709160 715941 795490 797805 850992 954588 1063740 1193235 1272784 1276488 1418320 1431882 1590980 1595610 1701984 1909176 2127480 2386470 2545568 2552976 2836640 2863764 3181960 3191220 3579705 3818352 4254960 4772940 5105952 5727528 6363920 6382440 7159410 7636704 8509920 9545880 11455056 12727840 12764880 14318820 19091760 22910112 25529760 28637640 38183520 57275280 114550560 1410324221 2820648442 4230972663 5641296884 7051621105 8461945326 11282593768 12692917989 14103242210 16923890652 21154863315 22565187536 25385835978 28206484420 33847781304 42309726630 45130375072 50771671956 56412968840 63464589945 67695562608 84619453260 101543343912 112825937680 126929179890 135391125216 169238906520 203086687824 225651875360 253858359780 338477813040 406173375648 507716719560 676955626080 1015433439120 2030866878240