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141480667392 = 2831397271823
BaseRepresentation
bin1000001111000011100…
…1111010100100000000
3111112012000211120120020
42003300321322210000
54304223022324032
6144554553413440
713136010554601
oct2036071724400
9445160746506
10141480667392
115500216a4a9
122350570a280
131045957584c
146bc213bda8
153a30becb2c
hex20f0e7a900

141480667392 has 144 divisors (see below), whose sum is σ = 379983851520. Its totient is φ = 46730889216.

The previous prime is 141480667379. The next prime is 141480667399. The reversal of 141480667392 is 293766084141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (141480667399) 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, 77607793 + ... + 77609615.

Almost surely, 2141480667392 is an apocalyptic number.

141480667392 is a gapful number since it is divisible by the number (12) 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 141480667392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189991925760).

141480667392 is an abundant number, since it is smaller than the sum of its proper divisors (238503184128).

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

141480667392 is a wasteful number, since it uses less digits than its factorization.

141480667392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 141480667392 in words is "one hundred forty-one billion, four hundred eighty million, six hundred sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 727 768 834 1112 1454 1668 1823 2181 2224 2908 3336 3646 4362 4448 5469 5816 6672 7292 8724 8896 10938 11632 13344 14584 17448 17792 21876 23264 26688 29168 34896 35584 43752 46528 53376 58336 69792 87504 93056 101053 106752 116672 139584 175008 186112 202106 233344 253397 279168 303159 350016 404212 466688 506794 558336 606318 700032 760191 808424 1013588 1212636 1325321 1400064 1520382 1616848 2027176 2425272 2650642 3040764 3233696 3975963 4054352 4850544 5301284 6081528 6467392 7951926 8108704 9701088 10602568 12163056 12934784 15903852 16217408 19402176 21205136 24326112 25869568 31807704 32434816 38804352 42410272 48652224 63615408 64869632 77608704 84820544 97304448 127230816 169641088 184219619 194608896 254461632 339282176 368439238 508923264 552658857 736878476 1017846528 1105317714 1473756952 2210635428 2947513904 4421270856 5895027808 8842541712 11790055616 17685083424 23580111232 35370166848 47160222464 70740333696 141480667392