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400424200222056 = 233196411369927061
BaseRepresentation
bin101101100001011110000011…
…0001101101011010101101000
31221111210011211222211010212020
41123002330012031223111220
5404441022230224101211
63535344201005544440
7150225456652214523
oct13302740615532550
91844704758733766
10400424200222056
11106650a49a9600a
1238ab0a86575120
1314257abc7b97ca
1470c48c5885bba
153145e443b8306
hex16c2f0636b568

400424200222056 has 64 divisors (see below), whose sum is σ = 1055391808564800. Its totient is φ = 126252477849600.

The previous prime is 400424200222051. The next prime is 400424200222061. The reversal of 400424200222056 is 650222002424004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400424200222051) and next prime (400424200222061).

It is not an unprimeable number, because it can be changed into a prime (400424200222051) 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, 684671235 + ... + 685255826.

It is an arithmetic number, because the mean of its divisors is an integer number (16490497008825).

Almost surely, 2400424200222056 is an apocalyptic number.

It is an amenable number.

400424200222056 is an abundant number, since it is smaller than the sum of its proper divisors (654967608342744).

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

400424200222056 is a wasteful number, since it uses less digits than its factorization.

400424200222056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369927730 (or 1369927726 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 400424200222056 in words is "four hundred trillion, four hundred twenty-four billion, two hundred million, two hundred twenty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 641 1282 1923 2564 3846 5128 7692 12179 15384 24358 36537 48716 73074 97432 146148 292296 1369927061 2739854122 4109781183 5479708244 8219562366 10959416488 16439124732 26028614159 32878249464 52057228318 78085842477 104114456636 156171684954 208228913272 312343369908 624686739816 878123246101 1756246492202 2634369738303 3512492984404 5268739476606 7024985968808 10537478953212 16684341675919 21074957906424 33368683351838 50053025027757 66737366703676 100106050055514 133474733407352 200212100111028 400424200222056