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30076563440 = 2457112443869
BaseRepresentation
bin11100000000101100…
…111110111111110000
32212122002100201200002
4130000230332333300
5443044100012230
621452245045132
72113216366610
oct340054767760
985562321602
1030076563440
1111834488300
1259b46b67a8
132ab41c1201
141654698a40
15bb06ee545
hex700b3eff0

30076563440 has 120 divisors (see below), whose sum is σ = 87843648480. Its totient is φ = 9374492160.

The previous prime is 30076563371. The next prime is 30076563443. The reversal of 30076563440 is 4436567003.

It is a junction number, because it is equal to n+sod(n) for n = 30076563394 and 30076563403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30076563443) by changing a digit.

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, 154175 + ... + 289694.

It is an arithmetic number, because the mean of its divisors is an integer number (732030404).

Almost surely, 230076563440 is an apocalyptic number.

It is an amenable number.

30076563440 is an abundant number, since it is smaller than the sum of its proper divisors (57767085040).

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

30076563440 is a wasteful number, since it uses less digits than its factorization.

30076563440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443911 (or 443894 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

It can be divided in two parts, 30076563 and 440, that added together give a palindrome (30077003).

The spelling of 30076563440 in words is "thirty billion, seventy-six million, five hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 33880 67760 443869 887738 1775476 2219345 3107083 3550952 4438690 4882559 6214166 7101904 8877380 9765118 12428332 15535415 17754760 19530236 24412795 24856664 31070830 34177913 35509520 39060472 48825590 49713328 53708149 62141660 68355826 78120944 97651180 107416298 124283320 136711652 170889565 195302360 214832596 248566640 268540745 273423304 341779130 375957043 390604720 429665192 537081490 546846608 683558260 751914086 859330384 1074162980 1367116520 1503828172 1879785215 2148325960 2734233040 3007656344 3759570430 4296651920 6015312688 7519140860 15038281720 30076563440