Search a number
-
+
109597069440 = 273452114141
BaseRepresentation
bin110011000010001111…
…1101001000010000000
3101110220000012222120000
41212010133221002000
53243423322210230
6122203113320000
710626626501535
oct1460437510200
9343800188500
10109597069440
1142530763451
12192a7a06000
13a447ba0761
145439898d8c
152cb6a55b60
hex19847e9080

109597069440 has 160 divisors (see below), whose sum is σ = 391391108460. Its totient is φ = 29225871360.

The previous prime is 109597069423. The next prime is 109597069453. The reversal of 109597069440 is 44960795901.

It is a happy number.

109597069440 is a `hidden beast` number, since 1 + 0 + 9 + 597 + 0 + 6 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98862451776 + 10734617664 = 314424^2 + 103608^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1005231 + ... + 1108910.

Almost surely, 2109597069440 is an apocalyptic number.

109597069440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109597069440 is an abundant number, since it is smaller than the sum of its proper divisors (281794039020).

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

109597069440 is an equidigital number, since it uses as much as digits as its factorization.

109597069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114172 (or 2114151 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 109597069440 in words is "one hundred nine billion, five hundred ninety-seven million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 2114141 4228282 6342423 8456564 10570705 12684846 16913128 19027269 21141410 25369692 31712115 33826256 38054538 42282820 50739384 57081807 63424230 67652512 76109076 84565640 95136345 101478768 114163614 126848460 135305024 152218152 169131280 171245421 190272690 202957536 228327228 253696920 270610048 285409035 304436304 338262560 342490842 380545380 405915072 456654456 507393840 570818070 608872608 676525120 684981684 761090760 811830144 856227105 913308912 1014787680 1141636140 1217745216 1353050240 1369963368 1522181520 1712454210 1826617824 2029575360 2283272280 2435490432 2739926736 3044363040 3424908420 3653235648 4059150720 4566544560 5479853472 6088726080 6849816840 7306471296 9133089120 10959706944 12177452160 13699633680 18266178240 21919413888 27399267360 36532356480 54798534720 109597069440