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425042153120 = 25513375522897
BaseRepresentation
bin1100010111101100111…
…11001000111010100000
31111122002220210120000102
412023312133020322200
523430441242344440
6523132304241532
742464640455534
oct6136637107240
91448086716012
10425042153120
1115429423a712
126a4619102a8
1331109813420
1416801d9dbc4
15b0ca145b15
hex62f67c8ea0

425042153120 has 96 divisors (see below), whose sum is σ = 1110632696208. Its totient is φ = 152697028608.

The previous prime is 425042153119. The next prime is 425042153143. The reversal of 425042153120 is 21351240524.

It can be written as a sum of positive squares in 8 ways, for example, as 326136935056 + 98905218064 = 571084^2 + 314492^2 .

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, 2684489 + ... + 2838408.

Almost surely, 2425042153120 is an apocalyptic number.

425042153120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425042153120 is an abundant number, since it is smaller than the sum of its proper divisors (685590543088).

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

425042153120 is a wasteful number, since it uses less digits than its factorization.

425042153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522962 (or 5522954 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 425042153120 its reverse (21351240524), we get a palindrome (446393393644).

The spelling of 425042153120 in words is "four hundred twenty-five billion, forty-two million, one hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 65 74 80 104 130 148 160 185 208 260 296 370 416 481 520 592 740 962 1040 1184 1480 1924 2080 2405 2960 3848 4810 5920 7696 9620 15392 19240 38480 76960 5522897 11045794 22091588 27614485 44183176 55228970 71797661 88366352 110457940 143595322 176732704 204347189 220915880 287190644 358988305 408694378 441831760 574381288 717976610 817388756 883663520 1021735945 1148762576 1435953220 1634777512 2043471890 2297525152 2656513457 2871906440 3269555024 4086943780 5313026914 5743812880 6539110048 8173887560 10626053828 11487625760 13282567285 16347775120 21252107656 26565134570 32695550240 42504215312 53130269140 85008430624 106260538280 212521076560 425042153120