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402221311040 = 2651773937741
BaseRepresentation
bin1011101101001100100…
…00100010010001000000
31102110012111100122220002
411312212100202101000
523042222123423130
6504440010335132
741026263506333
oct5664620422100
91373174318802
10402221311040
1114564349824a
1265b5312a4a8
132bc108c1a83
14156791ca61a
15a6e1924b45
hex5da6422440

402221311040 has 56 divisors (see below), whose sum is σ = 1014130069272. Its totient is φ = 151424491520.

The previous prime is 402221311033. The next prime is 402221311069. The reversal of 402221311040 is 40113122204.

It can be written as a sum of positive squares in 4 ways, for example, as 29945610304 + 372275700736 = 173048^2 + 610144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36963431 + ... + 36974310.

Almost surely, 2402221311040 is an apocalyptic number.

402221311040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402221311040 is an abundant number, since it is smaller than the sum of its proper divisors (611908758232).

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

402221311040 is a wasteful number, since it uses less digits than its factorization.

402221311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73937775 (or 73937765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 402221311040 its reverse (40113122204), we get a palindrome (442334433244).

The spelling of 402221311040 in words is "four hundred two billion, two hundred twenty-one million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 73937741 147875482 295750964 369688705 591501928 739377410 1183003856 1256941597 1478754820 2366007712 2513883194 2957509640 4732015424 5027766388 5915019280 6284707985 10055532776 11830038560 12569415970 20111065552 23660077120 25138831940 40222131104 50277663880 80444262208 100555327760 201110655520 402221311040