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406040601126 = 231971257195197
BaseRepresentation
bin1011110100010011110…
…01111110001000100110
31102211001200000200221110
411322021321332020212
523123032343214001
6510311003125450
741223031110006
oct5721171761046
91384050020843
10406040601126
11147223374436
126683a213886
132c39bc51434
141591c540006
15a866da13d6
hex5e89e7e226

406040601126 has 64 divisors (see below), whose sum is σ = 870239531520. Its totient is φ = 125924843520.

The previous prime is 406040601121. The next prime is 406040601143. The reversal of 406040601126 is 621106040604.

It is a junction number, because it is equal to n+sod(n) for n = 406040601093 and 406040601102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406040601121) 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, 1982560 + ... + 2177756.

It is an arithmetic number, because the mean of its divisors is an integer number (13597492680).

Almost surely, 2406040601126 is an apocalyptic number.

406040601126 is an abundant number, since it is smaller than the sum of its proper divisors (464198930394).

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

406040601126 is a wasteful number, since it uses less digits than its factorization.

406040601126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195549.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 406040601126 in words is "four hundred six billion, forty million, six hundred one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 19 38 57 71 114 142 213 257 426 514 771 1349 1542 2698 4047 4883 8094 9766 14649 18247 29298 36494 54741 109482 195197 346693 390394 585591 693386 1040079 1171182 2080158 3708743 7417486 11126229 13858987 22252458 27717974 41576961 50165629 83153922 100331258 150496887 263320753 300993774 526641506 789962259 953146951 1579924518 1906293902 2859440853 3561759659 5718881706 7123519318 10685278977 21370557954 67673433521 135346867042 203020300563 406040601126