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245400511440 = 243571125112983
BaseRepresentation
bin1110010010001100000…
…0101010001111010000
3212110102101100121222010
43210203000222033100
513010040012331230
6304422504342520
723505152634060
oct3444300521720
9773371317863
10245400511440
119508a211437
123b688174a40
131a1ab1c0626
14bc3da093a0
1565b41279b0
hex392302a3d0

245400511440 has 160 divisors (see below), whose sum is σ = 869563201536. Its totient is φ = 56082240000.

The previous prime is 245400511403. The next prime is 245400511441. The reversal of 245400511440 is 44115004542.

It is a super-2 number, since 2×2454005114402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 245400511398 and 245400511407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245400511441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18895189 + ... + 18908171.

Almost surely, 2245400511440 is an apocalyptic number.

245400511440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245400511440 is an abundant number, since it is smaller than the sum of its proper divisors (624162690096).

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

245400511440 is a wasteful number, since it uses less digits than its factorization.

245400511440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24257 (or 24251 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 245400511440 its reverse (44115004542), we get a palindrome (289515515982).

The spelling of 245400511440 in words is "two hundred forty-five billion, four hundred million, five hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 11251 12983 22502 25966 33753 38949 45004 51932 56255 64915 67506 77898 78757 90008 90881 103864 112510 129830 135012 155796 157514 168765 180016 181762 194745 207728 225020 236271 259660 270024 272643 311592 315028 337530 363524 389490 393785 450040 454405 472542 519320 540048 545286 623184 630056 675060 727048 778980 787570 900080 908810 945084 1038640 1090572 1181355 1260112 1350120 1363215 1454096 1557960 1575140 1817620 1890168 2181144 2362710 2700240 2726430 3115920 3150280 3635240 3780336 4362288 4725420 5452860 6300560 7270480 9450840 10905720 18901680 21811440 146071733 292143466 438215199 584286932 730358665 876430398 1022502131 1168573864 1460717330 1752860796 2045004262 2191075995 2337147728 2921434660 3067506393 3505721592 4090008524 4382151990 5112510655 5842869320 6135012786 7011443184 8180017048 8764303980 10225021310 11685738640 12270025572 15337531965 16360034096 17528607960 20450042620 24540051144 30675063930 35057215920 40900085240 49080102288 61350127860 81800170480 122700255720 245400511440