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400402420020 = 223351939025577
BaseRepresentation
bin1011101001110011101…
…10000001000100110100
31102021111201210102111000
411310321312001010310
523030011004420040
6503535313243300
740633226262141
oct5647166010464
91367451712430
10400402420020
1114489a800529
1265725b63530
132b9b0b192b5
14155457d73c8
15a636dd9130
hex5d39d81134

400402420020 has 96 divisors (see below), whose sum is σ = 1311259420800. Its totient is φ = 101154292992.

The previous prime is 400402419997. The next prime is 400402420021. The reversal of 400402420020 is 20024204004.

400402420020 is a `hidden beast` number, since 40 + 0 + 402 + 4 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400402419975 and 400402420002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400402420021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19502529 + ... + 19523048.

It is an arithmetic number, because the mean of its divisors is an integer number (13658952300).

Almost surely, 2400402420020 is an apocalyptic number.

It is an amenable number.

400402420020 is an abundant number, since it is smaller than the sum of its proper divisors (910857000780).

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

400402420020 is a wasteful number, since it uses less digits than its factorization.

400402420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39025614 (or 39025606 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400402420020 its reverse (20024204004), we get a palindrome (420426624024).

The spelling of 400402420020 in words is "four hundred billion, four hundred two million, four hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 39025577 78051154 117076731 156102308 195127885 234153462 351230193 390255770 468306924 585383655 702460386 741485963 780511540 1053690579 1170767310 1404920772 1482971926 1756150965 2107381158 2224457889 2341534620 2965943852 3512301930 3707429815 4214762316 4448915778 5268452895 6673373667 7024603860 7414859630 8897831556 10536905790 11122289445 13346747334 14829719260 20020121001 21073811580 22244578890 26693494668 33366868335 40040242002 44489157780 66733736670 80080484004 100100605005 133467473340 200201210010 400402420020