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400146022128 = 24323362451107
BaseRepresentation
bin1011101001010101000…
…11111011111011110000
31102020211212100001200210
411310222203323323300
523023444340202003
6503454033544120
740623664032336
oct5645243737360
91366755301623
10400146022128
11144778aa7a46
1265674115040
132b96c976778
141551d733b56
15a61e63e503
hex5d2a8fbef0

400146022128 has 40 divisors (see below), whose sum is σ = 1078654497408. Its totient is φ = 127582789312.

The previous prime is 400146022127. The next prime is 400146022147. The reversal of 400146022128 is 821220641004.

It is a junction number, because it is equal to n+sod(n) for n = 400146022095 and 400146022104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400146022121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 181224450 + ... + 181226657.

Almost surely, 2400146022128 is an apocalyptic number.

400146022128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400146022128 is an abundant number, since it is smaller than the sum of its proper divisors (678508475280).

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

400146022128 is a wasteful number, since it uses less digits than its factorization.

400146022128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362451141 (or 362451135 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 400146022128 in words is "four hundred billion, one hundred forty-six million, twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 362451107 724902214 1087353321 1449804428 2174706642 2899608856 4349413284 5799217712 8336375461 8698826568 16672750922 17397653136 25009126383 33345501844 50018252766 66691003688 100036505532 133382007376 200073011064 400146022128