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109485347040 = 25325233305717
BaseRepresentation
bin110010111110111010…
…1011101000011100000
3101110121012222220020100
41211331311131003200
53243211222101130
6122144042542400
710624102044336
oct1457565350340
9343535886210
10109485347040
1142483695793
1219276507a00
13a42a9b4424
145428ad5b56
152cabd37c60
hex197dd5d0e0

109485347040 has 144 divisors (see below), whose sum is σ = 389863158048. Its totient is φ = 27926688768.

The previous prime is 109485347039. The next prime is 109485347047. The reversal of 109485347040 is 40743584901.

109485347040 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 8 + 534 + 70 + 40 = 666.

109485347040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109485347047) 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, 1619739 + ... + 1685978.

It is an arithmetic number, because the mean of its divisors is an integer number (2707383042).

Almost surely, 2109485347040 is an apocalyptic number.

109485347040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109485347040 is an abundant number, since it is smaller than the sum of its proper divisors (280377811008).

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

109485347040 is a wasteful number, since it uses less digits than its factorization.

109485347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305761 (or 3305750 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 109485347040 in words is "one hundred nine billion, four hundred eighty-five million, three hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 3305717 6611434 9917151 13222868 16528585 19834302 26445736 29751453 33057170 39668604 49585755 52891472 59502906 66114340 76031491 79337208 99171510 105782944 119005812 132228680 148757265 152062982 158674416 198343020 228094473 238011624 264457360 297514530 304125964 317348832 380157455 396686040 456188946 476023248 528914720 595029060 608251928 684283419 760314910 793372080 912377892 952046496 1140472365 1190058120 1216503856 1368566838 1520629820 1586744160 1824755784 2280944730 2380116240 2433007712 2737133676 3041259640 3421417095 3649511568 4561889460 4760232480 5474267352 6082519280 6842834190 7299023136 9123778920 10948534704 12165038560 13685668380 18247557840 21897069408 27371336760 36495115680 54742673520 109485347040