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4425103920 = 2435139132647
BaseRepresentation
bin1000001111100000…
…11011101000110000
3102102101121120101210
410013300123220300
533030311311140
62011033200120
7214441522416
oct40760335060
912371546353
104425103920
111970946086
12a35b60040
13556a125b3
142dd9b12b6
151ad746d80
hex107c1ba30

4425103920 has 80 divisors (see below), whose sum is σ = 13816615680. Its totient is φ = 1171529472.

The previous prime is 4425103919. The next prime is 4425103979. The reversal of 4425103920 is 293015244.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32964 + ... + 99683.

It is an arithmetic number, because the mean of its divisors is an integer number (172707696).

Almost surely, 24425103920 is an apocalyptic number.

4425103920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4425103920 is an abundant number, since it is smaller than the sum of its proper divisors (9391511760).

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

4425103920 is a wasteful number, since it uses less digits than its factorization.

4425103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132802 (or 132796 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4425103920 is about 66521.4545842167. The cubic root of 4425103920 is about 1641.7530233746.

It can be divided in two parts, 4425 and 103920, that added together give a triangular number (108345 = T465).

The spelling of 4425103920 in words is "four billion, four hundred twenty-five million, one hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 132647 265294 397941 530588 663235 795882 1061176 1326470 1591764 1989705 2122352 2652940 3183528 3979410 5305880 6367056 7958820 10611760 15917640 18437933 31835280 36875866 55313799 73751732 92189665 110627598 147503464 184379330 221255196 276568995 295006928 368758660 442510392 553137990 737517320 885020784 1106275980 1475034640 2212551960 4425103920