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40306953920 = 265312131071
BaseRepresentation
bin100101100010011110…
…110100111011000000
310212001001122102010012
4211202132310323000
51130022040011140
630303341524052
72624562312122
oct454236647300
9125031572105
1040306953920
1116104252072
12798a873628
133a548465bc
141d45271212
1510ad91b265
hex9627b4ec0

40306953920 has 84 divisors (see below), whose sum is σ = 99177725952. Its totient is φ = 15602572800.

The previous prime is 40306953829. The next prime is 40306953931. The reversal of 40306953920 is 2935960304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241985 + ... + 373055.

Almost surely, 240306953920 is an apocalyptic number.

40306953920 is a gapful number since it is divisible by the number (40) 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 40306953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49588862976).

40306953920 is an abundant number, since it is smaller than the sum of its proper divisors (58870772032).

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

40306953920 is a wasteful number, since it uses less digits than its factorization.

40306953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131150 (or 131109 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 40306953920 in words is "forty billion, three hundred six million, nine hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 961 992 1240 1922 1984 2480 3844 4805 4960 7688 9610 9920 15376 19220 30752 38440 61504 76880 131071 153760 262142 307520 524284 655355 1048568 1310710 2097136 2621420 4063201 4194272 5242840 8126402 8388544 10485680 16252804 20316005 20971360 32505608 40632010 41942720 65011216 81264020 125959231 130022432 162528040 251918462 260044864 325056080 503836924 629796155 650112160 1007673848 1259592310 1300224320 2015347696 2519184620 4030695392 5038369240 8061390784 10076738480 20153476960 40306953920