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40985419687488 = 263423333388829
BaseRepresentation
bin10010101000110101010010…
…11000011010011001000000
312101010011112100220211010000
421110122221120122121000
520333001114414444423
6223100235240040000
711430045623143023
oct1124325130323100
9171104470824100
1040985419687488
1112071900a20411
12471b2ba163000
1319b3ba6c5c943
14a199c23491ba
154b11d1420843
hex2546a961a640

40985419687488 has 140 divisors (see below), whose sum is σ = 121545735523740. Its totient is φ = 13655946636288.

The previous prime is 40985419687477. The next prime is 40985419687489. The reversal of 40985419687488 is 88478691458904.

40985419687488 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 5 + 41 + 96 + 8 + 7 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24412769501184 + 16572650186304 = 4940928^2 + 4070952^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (40985419687489) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10399858 + ... + 13788686.

Almost surely, 240985419687488 is an apocalyptic number.

40985419687488 is a gapful number since it is divisible by the number (48) 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 40985419687488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60772867761870).

40985419687488 is an abundant number, since it is smaller than the sum of its proper divisors (80560315836252).

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

40985419687488 is a wasteful number, since it uses less digits than its factorization.

40985419687488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391186 (or 3391167 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 81.

The spelling of 40985419687488 in words is "forty trillion, nine hundred eighty-five billion, four hundred nineteen million, six hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2333 2592 4666 5184 6999 9332 13998 18664 20997 27996 37328 41994 55992 62991 74656 83988 111984 125982 149312 167976 188973 223968 251964 335952 377946 447936 503928 671904 755892 1007856 1343808 1511784 2015712 3023568 3388829 4031424 6047136 6777658 10166487 12094272 13555316 20332974 27110632 30499461 40665948 54221264 60998922 81331896 91498383 108442528 121997844 162663792 182996766 216885056 243995688 274495149 325327584 365993532 487991376 548990298 650655168 731987064 975982752 1097980596 1463974128 1951965504 2195961192 2927948256 4391922384 5855896512 7906138057 8783844768 15812276114 17567689536 23718414171 31624552228 47436828342 63249104456 71155242513 94873656684 126498208912 142310485026 189747313368 213465727539 252996417824 284620970052 379494626736 426931455078 505992835648 569241940104 640397182617 758989253472 853862910156 1138483880208 1280794365234 1517978506944 1707725820312 2276967760416 2561588730468 3415451640624 4553935520832 5123177460936 6830903281248 10246354921872 13661806562496 20492709843744 40985419687488