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4061155213200 = 2435271227209983
BaseRepresentation
bin111011000110001111101…
…101101011111110010000
3112101020112220000102021110
4323012033231223332100
51013014221213310300
612345400254253320
7566260132513251
oct73061755537620
915336486012243
104061155213200
111326365275488
125570b47b7240
13235c71998817
141007bd3c4b28
157098ed4d550
hex3b18fb6bf90

4061155213200 has 240 divisors, whose sum is σ = 13250642190336. Its totient is φ = 1063012876800.

The previous prime is 4061155213153. The next prime is 4061155213211. The reversal of 4061155213200 is 23125511604.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19235409 + ... + 19445391.

Almost surely, 24061155213200 is an apocalyptic number.

4061155213200 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 4061155213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625321095168).

4061155213200 is an abundant number, since it is smaller than the sum of its proper divisors (9189486977136).

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

4061155213200 is a wasteful number, since it uses less digits than its factorization.

4061155213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210302 (or 210291 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 4061155213200 in words is "four trillion, sixty-one billion, one hundred fifty-five million, two hundred thirteen thousand, two hundred".