Search a number
-
+
132360540400 = 245211101297841
BaseRepresentation
bin111101101000101001…
…1011001000011110000
3110122122102201010022001
41323101103121003300
54132033244243100
6140450001423344
712364006013224
oct1732123310360
9418572633261
10132360540400
1151152090070
122179b33ab54
13c634c558ba
146598bb6784
15369a1e2d6a
hex1ed14d90f0

132360540400 has 120 divisors (see below), whose sum is σ = 350340822288. Its totient is φ = 47654400000.

The previous prime is 132360540391. The next prime is 132360540401. The reversal of 132360540400 is 4045063231.

132360540400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132360540401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295480 + ... + 593320.

Almost surely, 2132360540400 is an apocalyptic number.

132360540400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132360540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175170411144).

132360540400 is an abundant number, since it is smaller than the sum of its proper divisors (217980281888).

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

132360540400 is a wasteful number, since it uses less digits than its factorization.

132360540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297971 (or 297960 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 132360540400 in words is "one hundred thirty-two billion, three hundred sixty million, five hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 297841 444400 595682 1191364 1489205 2382728 2978410 3276251 4765456 5956820 6552502 7446025 11913640 13105004 14892050 16381255 23827280 26210008 29784100 30081941 32762510 52420016 59568200 60163882 65525020 81906275 119136400 120327764 131050040 150409705 163812550 240655528 262100080 300819410 327625100 330901351 481311056 601638820 655250200 661802702 752048525 1203277640 1310500400 1323605404 1504097050 1654506755 2406555280 2647210808 3008194100 3309013510 5294421616 6016388200 6618027020 8272533775 12032776400 13236054040 16545067550 26472108080 33090135100 66180270200 132360540400