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40001366342504 = 23710146750929753
BaseRepresentation
bin10010001100001100010110…
…01110110011101101101000
312020122002111222221101212102
421012012023032303231220
520220340244240430004
6221024212441432532
711266001101545410
oct1106061316635550
9166562458841772
1040001366342504
1111822536515456
1245a064879b748
131942160690558
149c410db49640
154957d9b6411e
hex24618b3b3b68

40001366342504 has 128 divisors (see below), whose sum is σ = 86924620972800. Its totient is φ = 16903515494400.

The previous prime is 40001366342489. The next prime is 40001366342507. The reversal of 40001366342504 is 40524366310004.

It is not an unprimeable number, because it can be changed into a prime (40001366342507) 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, 1344433292 + ... + 1344463044.

It is an arithmetic number, because the mean of its divisors is an integer number (679098601350).

Almost surely, 240001366342504 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 40001366342504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43462310486400).

40001366342504 is an abundant number, since it is smaller than the sum of its proper divisors (46923254630296).

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

40001366342504 is a wasteful number, since it uses less digits than its factorization.

40001366342504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30843 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 40001366342504 in words is "forty trillion, one billion, three hundred sixty-six million, three hundred forty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 467 509 707 808 934 1018 1414 1868 2036 2828 3269 3563 3736 4072 5656 6538 7126 13076 14252 26152 28504 29753 47167 51409 59506 94334 102818 119012 188668 205636 208271 237703 238024 330169 359863 377336 411272 416542 475406 660338 719726 833084 950812 1320676 1439452 1663921 1666168 1901624 2641352 2878904 3005053 3327842 6010106 6655684 12020212 13311368 13894651 15144277 21035371 24008003 24040424 27789302 30288554 42070742 48016006 55578604 60577108 84141484 96032012 97262557 106009939 111157208 121154216 168056021 168282968 192064024 194525114 212019878 336112042 389050228 424039756 672224084 778100456 848079512 1344448168 1403359751 1529571977 2806719502 3059143954 5613439004 6118287908 7072377359 9823518257 10707003839 11226878008 12236575816 14144754718 19647036514 21414007678 28289509436 39294073028 42828015356 49506641513 56579018872 78588146056 85656030712 99013283026 198026566052 396053132104 714310113259 1428620226518 2857240453036 5000170792813 5714480906072 10000341585626 20000683171252 40001366342504