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432112123040 = 25513712926003
BaseRepresentation
bin1100100100110111110…
…00111011110010100000
31112022100122012020111012
412102123320323302200
524034431200414130
6530302022240052
743135066304663
oct6223370736240
91468318166435
10432112123040
11157292034764
126b8b5586028
1331995477290
1416cb2d316da
15b390b81995
hex649be3bca0

432112123040 has 96 divisors (see below), whose sum is σ = 1114877748096. Its totient is φ = 157301867520.

The previous prime is 432112122997. The next prime is 432112123097. The reversal of 432112123040 is 40321211234.

It is a junction number, because it is equal to n+sod(n) for n = 432112122997 and 432112123015.

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, 1315322 + ... + 1610681.

It is an arithmetic number, because the mean of its divisors is an integer number (11613309876).

Almost surely, 2432112123040 is an apocalyptic number.

432112123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432112123040 is an abundant number, since it is smaller than the sum of its proper divisors (682765625056).

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

432112123040 is a wasteful number, since it uses less digits than its factorization.

432112123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926102 (or 2926094 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 432112123040 its reverse (40321211234), we get a palindrome (472433334274).

The spelling of 432112123040 in words is "four hundred thirty-two billion, one hundred twelve million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 71 80 104 130 142 160 208 260 284 355 416 520 568 710 923 1040 1136 1420 1846 2080 2272 2840 3692 4615 5680 7384 9230 11360 14768 18460 29536 36920 73840 147680 2926003 5852006 11704012 14630015 23408024 29260030 38038039 46816048 58520060 76076078 93632096 117040120 152152156 190190195 207746213 234080240 304304312 380380390 415492426 468160480 608608624 760760780 830984852 1038731065 1217217248 1521521560 1661969704 2077462130 2700700769 3043043120 3323939408 4154924260 5401401538 6086086240 6647878816 8309848520 10802803076 13503503845 16619697040 21605606152 27007007690 33239394080 43211212304 54014015380 86422424608 108028030760 216056061520 432112123040