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40223301264 = 243219103142733
BaseRepresentation
bin100101011101011111…
…101101111010010000
310211211020020102020200
4211131133231322100
51124334131120024
630251152535200
72622525263616
oct453537557220
9124736212220
1040223301264
1116071006643
127966851500
133a404077a3
141d380d76b6
1510a63e52c9
hex95d7ede90

40223301264 has 120 divisors (see below), whose sum is σ = 119645348160. Its totient is φ = 12578685696.

The previous prime is 40223301263. The next prime is 40223301311. The reversal of 40223301264 is 46210332204.

40223301264 is a `hidden beast` number, since 402 + 233 + 0 + 1 + 26 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (40223301263) 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, 210442 + ... + 353174.

It is an arithmetic number, because the mean of its divisors is an integer number (997044568).

Almost surely, 240223301264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223301264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59822674080).

40223301264 is an abundant number, since it is smaller than the sum of its proper divisors (79422046896).

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

40223301264 is a wasteful number, since it uses less digits than its factorization.

40223301264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142869 (or 142860 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40223301264 its reverse (46210332204), we get a palindrome (86433633468).

The spelling of 40223301264 in words is "forty billion, two hundred twenty-three million, three hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 103 114 144 152 171 206 228 304 309 342 412 456 618 684 824 912 927 1236 1368 1648 1854 1957 2472 2736 3708 3914 4944 5871 7416 7828 11742 14832 15656 17613 23484 31312 35226 46968 70452 93936 140904 142733 281808 285466 428199 570932 856398 1141864 1284597 1712796 2283728 2569194 2711927 3425592 5138388 5423854 6851184 8135781 10276776 10847708 14701499 16271562 20553552 21695416 24407343 29402998 32543124 43390832 44104497 48814686 58805996 65086248 88208994 97629372 117611992 130172496 132313491 176417988 195258744 235223984 264626982 279328481 352835976 390517488 529253964 558656962 705671952 837985443 1058507928 1117313924 1675970886 2117015856 2234627848 2513956329 3351941772 4469255696 5027912658 6703883544 10055825316 13407767088 20111650632 40223301264