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40223133240 = 23352333144029
BaseRepresentation
bin100101011101011111…
…000100111000111000
310211211012220212202120
4211131133010320320
51124334110230430
630251145201240
72622523664013
oct453537047070
9124735825676
1040223133240
1116070a01384
127966790220
133a40379174
141d3809237a
1510a63b0610
hex95d7c4e38

40223133240 has 128 divisors (see below), whose sum is σ = 126299174400. Its totient is φ = 10228584960.

The previous prime is 40223133227. The next prime is 40223133283. The reversal of 40223133240 is 4233132204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40223133240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 891546 + ... + 935574.

It is an arithmetic number, because the mean of its divisors is an integer number (986712300).

Almost surely, 240223133240 is an apocalyptic number.

40223133240 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 40223133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63149587200).

40223133240 is an abundant number, since it is smaller than the sum of its proper divisors (86076041160).

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

40223133240 is a wasteful number, since it uses less digits than its factorization.

40223133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44397 (or 44393 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 40223133240 its reverse (4233132204), we get a palindrome (44456265444).

The spelling of 40223133240 in words is "forty billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 331 345 460 552 662 690 920 993 1324 1380 1655 1986 2648 2760 3310 3972 4965 6620 7613 7944 9930 13240 15226 19860 22839 30452 38065 39720 44029 45678 60904 76130 88058 91356 114195 132087 152260 176116 182712 220145 228390 264174 304520 352232 440290 456780 528348 660435 880580 913560 1012667 1056696 1320870 1761160 2025334 2641740 3038001 4050668 5063335 5283480 6076002 8101336 10126670 12152004 14573599 15190005 20253340 24304008 29147198 30380010 40506680 43720797 58294396 60760020 72867995 87441594 116588792 121520040 145735990 174883188 218603985 291471980 335192777 349766376 437207970 582943960 670385554 874415940 1005578331 1340771108 1675963885 1748831880 2011156662 2681542216 3351927770 4022313324 5027891655 6703855540 8044626648 10055783310 13407711080 20111566620 40223133240