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402144424044 = 2231143271261439
BaseRepresentation
bin1011101101000011010…
…11001111000001101100
31102110000010200101202120
411312201223033001230
523042042433032134
6504424222352540
741024341130106
oct5664153170154
91373003611676
10402144424044
11145604052980
1265b3142b750
132bbca9b15cc
141566ccd4576
15a6d9cd8649
hex5da1acf06c

402144424044 has 96 divisors (see below), whose sum is σ = 1051315077120. Its totient is φ = 118588276800.

The previous prime is 402144424037. The next prime is 402144424063. The reversal of 402144424044 is 440424441204.

402144424044 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 402144423996 and 402144424014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407477 + ... + 1668915.

It is an arithmetic number, because the mean of its divisors is an integer number (10951198720).

Almost surely, 2402144424044 is an apocalyptic number.

402144424044 is a gapful number since it is divisible by the number (44) 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 402144424044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525657538560).

402144424044 is an abundant number, since it is smaller than the sum of its proper divisors (649170653076).

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

402144424044 is a wasteful number, since it uses less digits than its factorization.

402144424044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261771 (or 261769 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 402144424044 its reverse (440424441204), we get a palindrome (842568865248).

The spelling of 402144424044 in words is "four hundred two billion, one hundred forty-four million, four hundred twenty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 271 473 516 542 813 946 1084 1419 1626 1892 2838 2981 3252 5676 5962 8943 11653 11924 17886 23306 34959 35772 46612 69918 128183 139836 256366 261439 384549 512732 522878 769098 784317 1045756 1538196 1568634 2875829 3137268 5751658 8627487 11241877 11503316 17254974 22483754 33725631 34509948 44967508 67451262 70849969 123660647 134902524 141699938 212549907 247321294 283399876 370981941 425099814 494642588 741963882 779349659 850199628 1483927764 1558699318 2338048977 3046548667 3117398636 4676097954 6093097334 9139646001 9352195908 12186194668 18279292002 33512035337 36558584004 67024070674 100536106011 134048141348 201072212022 402144424044