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401127446940 = 22351123671812179
BaseRepresentation
bin1011101011001010000…
…11110001100110011100
31102100101021001121102220
411311211003301212130
523033002111300230
6504135253145340
740660212020223
oct5654503614634
91370337047386
10401127446940
11145131a93a30
12658a892b250
132ba980abbcc
14155b3c07cba
15a67a8a1d10
hex5d650f199c

401127446940 has 384 divisors, whose sum is σ = 1305384837120. Its totient is φ = 91078732800.

The previous prime is 401127446939. The next prime is 401127446971. The reversal of 401127446940 is 49644721104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 401127446892 and 401127446901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184086771 + ... + 184088949.

It is an arithmetic number, because the mean of its divisors is an integer number (3399439680).

Almost surely, 2401127446940 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 401127446940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652692418560).

401127446940 is an abundant number, since it is smaller than the sum of its proper divisors (904257390180).

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

401127446940 is a wasteful number, since it uses less digits than its factorization.

401127446940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 401127446940 in words is "four hundred one billion, one hundred twenty-seven million, four hundred forty-six thousand, nine hundred forty".