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40123240224 = 25316322911197
BaseRepresentation
bin100101010111100010…
…000000111100100000
310211120020221210022020
4211113202000330200
51124133022141344
630233220141440
72620201625514
oct452742007440
9124506853266
1040123240224
111601a583271
127939237880
133a25772282
141d28acc144
15109c72c719
hex957880f20

40123240224 has 96 divisors (see below), whose sum is σ = 106441917120. Its totient is φ = 13233134592.

The previous prime is 40123240219. The next prime is 40123240229. The reversal of 40123240224 is 42204232104.

It is an interprime number because it is at equal distance from previous prime (40123240219) and next prime (40123240229).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 40123240194 and 40123240203.

It is not an unprimeable number, because it can be changed into a prime (40123240229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577794 + ... + 3588990.

It is an arithmetic number, because the mean of its divisors is an integer number (1108769970).

Almost surely, 240123240224 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 40123240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53220958560).

40123240224 is an abundant number, since it is smaller than the sum of its proper divisors (66318676896).

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

40123240224 is a wasteful number, since it uses less digits than its factorization.

40123240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602 (or 11594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40123240224 its reverse (42204232104), we get a palindrome (82327472328).

The spelling of 40123240224 in words is "forty billion, one hundred twenty-three million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 229 326 458 489 652 687 916 978 1304 1374 1832 1956 2608 2748 3664 3912 5216 5496 7328 7824 10992 11197 15648 21984 22394 33591 37327 44788 67182 74654 89576 111981 134364 149308 179152 223962 268728 298616 358304 447924 537456 597232 895848 1074912 1194464 1791696 1825111 2564113 3583392 3650222 5128226 5475333 7300444 7692339 10256452 10950666 14600888 15384678 20512904 21901332 29201776 30769356 41025808 43802664 58403552 61538712 82051616 87605328 123077424 175210656 246154848 417950419 835900838 1253851257 1671801676 2507702514 3343603352 5015405028 6687206704 10030810056 13374413408 20061620112 40123240224