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132105242040 = 23357369149393
BaseRepresentation
bin111101100001000010…
…1100000010110111000
3110121222122022121210020
41323002011200112320
54131022420221130
6140404401450440
712354456013152
oct1730205402670
9417878277706
10132105242040
1151030a68692
1221729940a20
13c5c40a9695
146572d1bad2
153682ab3e10
hex1ec21605b8

132105242040 has 64 divisors (see below), whose sum is σ = 396372160800. Its totient is φ = 35223048192.

The previous prime is 132105242023. The next prime is 132105242053. The reversal of 132105242040 is 40242501231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132105242040.

It is a congruent number.

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, 809584 + ... + 958976.

Almost surely, 2132105242040 is an apocalyptic number.

132105242040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132105242040 is an abundant number, since it is smaller than the sum of its proper divisors (264266918760).

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

132105242040 is a wasteful number, since it uses less digits than its factorization.

132105242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156776 (or 156772 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 132105242040 its reverse (40242501231), we get a palindrome (172347743271).

The spelling of 132105242040 in words is "one hundred thirty-two billion, one hundred five million, two hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7369 14738 22107 29476 36845 44214 58952 73690 88428 110535 147380 149393 176856 221070 294760 298786 442140 448179 597572 746965 884280 896358 1195144 1493930 1792716 2240895 2987860 3585432 4481790 5975720 8963580 17927160 1100877017 2201754034 3302631051 4403508068 5504385085 6605262102 8807016136 11008770170 13210524204 16513155255 22017540340 26421048408 33026310510 44035080680 66052621020 132105242040