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401561673360 = 243530717533109
BaseRepresentation
bin1011101011111101111…
…00001101111010010000
31102101111112010121002220
411311332330031322100
523034344242021420
6504250324141040
741004033622401
oct5657674157220
91371445117086
10401561673360
11145335106741
12659aa237780
132bb37045113
141561575b9a8
15a6a3a76840
hex5d7ef0de90

401561673360 has 160 divisors (see below), whose sum is σ = 1250010410880. Its totient is φ = 106639110144.

The previous prime is 401561673349. The next prime is 401561673421. The reversal of 401561673360 is 63376165104.

It is a super-2 number, since 2×4015616733602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129159486 + ... + 129162594.

It is an arithmetic number, because the mean of its divisors is an integer number (7812565068).

Almost surely, 2401561673360 is an apocalyptic number.

401561673360 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 401561673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625005205440).

401561673360 is an abundant number, since it is smaller than the sum of its proper divisors (848448737520).

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

401561673360 is a wasteful number, since it uses less digits than its factorization.

401561673360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 401561673360 in words is "four hundred one billion, five hundred sixty-one million, six hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1753 1842 2456 3070 3109 3506 3684 4605 4912 5259 6140 6218 7012 7368 8765 9210 9327 10518 12280 12436 14024 14736 15545 17530 18420 18654 21036 24560 24872 26295 28048 31090 35060 36840 37308 42072 46635 49744 52590 62180 70120 73680 74616 84144 93270 105180 124360 140240 149232 186540 210360 248720 373080 420720 538171 746160 954463 1076342 1614513 1908926 2152684 2690855 2863389 3229026 3817852 4305368 4772315 5381710 5450077 5726778 6458052 7635704 8072565 8610736 9544630 10763420 10900154 11453556 12916104 14316945 15271408 16145130 16350231 19089260 21526840 21800308 22907112 25832208 27250385 28633890 32290260 32700462 38178520 43053680 43600616 45814224 54500770 57267780 64580520 65400924 76357040 81751155 87201232 109001540 114535560 129161040 130801848 163502310 218003080 229071120 261603696 327004620 436006160 654009240 1308018480 1673173639 3346347278 5019520917 6692694556 8365868195 10039041834 13385389112 16731736390 20078083668 25097604585 26770778224 33463472780 40156167336 50195209170 66926945560 80312334672 100390418340 133853891120 200780836680 401561673360