Search a number
-
+
40228961040 = 24365689797
BaseRepresentation
bin100101011101110101…
…010011101100010000
310211211121212222000000
4211131311103230100
51124342103223130
630251514130000
72622624345462
oct453565235420
9124747788000
1040228961040
1116074221944
127968720900
133a41639978
141d38b6c132
1510a6b62260
hex95dd53b10

40228961040 has 140 divisors (see below), whose sum is σ = 140234553804. Its totient is φ = 10727707392.

The previous prime is 40228960963. The next prime is 40228961057. The reversal of 40228961040 is 4016982204.

40228961040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17105500944 + 23123460096 = 130788^2 + 152064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40228960986 and 40228961004.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 286579 + ... + 403218.

Almost surely, 240228961040 is an apocalyptic number.

40228961040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40228961040 is an abundant number, since it is smaller than the sum of its proper divisors (100005592764).

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

40228961040 is an equidigital number, since it uses as much as digits as its factorization.

40228961040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689828 (or 689807 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40228961040 in words is "forty billion, two hundred twenty-eight million, nine hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 689797 1379594 2069391 2759188 3448985 4138782 5518376 6208173 6897970 8277564 10346955 11036752 12416346 13795940 16555128 18624519 20693910 24832692 27591880 31040865 33110256 37249038 41387820 49665384 55183760 55873557 62081730 74498076 82775640 93122595 99330768 111747114 124163460 148996152 165551280 167620671 186245190 223494228 248326920 279367785 297992304 335241342 372490380 446988456 496653840 502862013 558735570 670482684 744980760 838103355 893976912 1005724026 1117471140 1340965368 1489961520 1676206710 2011448052 2234942280 2514310065 2681930736 3352413420 4022896104 4469884560 5028620130 6704826840 8045792208 10057240260 13409653680 20114480520 40228961040