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40001304168 = 2333727919479
BaseRepresentation
bin100101010000010000…
…110111011001101000
310211020202111210111000
4211100100313121220
51123410313213133
630213142435000
72614161322020
oct452020673150
9124222453430
1040001304168
1115a67769971
127904432a60
133a0641b067
141d1682aa80
151091b93413
hex950437668

40001304168 has 128 divisors (see below), whose sum is σ = 127047168000. Its totient is φ = 11423643840.

The previous prime is 40001304139. The next prime is 40001304169. The reversal of 40001304168 is 86140310004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40001304169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4215253 + ... + 4224731.

It is an arithmetic number, because the mean of its divisors is an integer number (992556000).

Almost surely, 240001304168 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 40001304168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63523584000).

40001304168 is an abundant number, since it is smaller than the sum of its proper divisors (87045863832).

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

40001304168 is a wasteful number, since it uses less digits than its factorization.

40001304168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12282 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40001304168 in words is "forty billion, one million, three hundred four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2791 5582 8373 9479 11164 16746 18958 19537 22328 25119 28437 33492 37916 39074 50238 56874 58611 66353 66984 75357 75832 78148 85311 100476 113748 117222 132706 150714 156296 170622 175833 199059 200952 227496 234444 255933 265412 301428 341244 351666 398118 468888 511866 527499 530824 597177 602856 682488 703332 796236 1023732 1054998 1194354 1406664 1592472 1791531 2047464 2109996 2388708 3583062 4219992 4777416 7166124 14332248 26455889 52911778 79367667 105823556 158735334 185191223 211647112 238103001 317470668 370382446 476206002 555573669 634941336 714309003 740764892 952412004 1111147338 1428618006 1481529784 1666721007 1904824008 2222294676 2857236012 3333442014 4444589352 5000163021 5714472024 6666884028 10000326042 13333768056 20000652084 40001304168