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400001222100004 = 227101193748997859
BaseRepresentation
bin101101011110011001000101…
…0110000001100010000100100
31221110021202001220212020011221
41122330302022300030100210
5404412110000324200004
63534422005152510124
7150153064113414160
oct13274621260142044
91843252056766157
10400001222100004
111064a86249574a8
1238a42abbb4b344
1314226c517ac455
1470ac23ba8bca0
153139e3a582354
hex16bcc8ac0c424

400001222100004 has 96 divisors (see below), whose sum is σ = 812226131539200. Its totient is φ = 168828066201600.

The previous prime is 400001222099993. The next prime is 400001222100041.

400001222100004 is nontrivially palindromic in base 10.

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, 4087477227 + ... + 4087575085.

It is an arithmetic number, because the mean of its divisors is an integer number (8460688870200).

Almost surely, 2400001222100004 is an apocalyptic number.

It is an amenable number.

400001222100004 is an abundant number, since it is smaller than the sum of its proper divisors (412224909439196).

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

400001222100004 is a wasteful number, since it uses less digits than its factorization.

400001222100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105653 (or 105651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 400001222100004 in words is "four hundred trillion, one billion, two hundred twenty-two million, one hundred thousand, four".

Divisors: 1 2 4 7 14 28 101 193 202 386 404 707 772 1351 1414 2702 2828 5404 7489 14978 19493 29956 38986 52423 77972 97859 104846 136451 195718 209692 272902 391436 545804 685013 756389 1370026 1445377 1512778 2740052 2890754 3025556 5294723 5781508 9883759 10117639 10589446 18886787 19767518 20235278 21178892 37773574 39535036 40470556 69186313 75547148 132207509 138372626 145983077 264415018 276745252 291966154 528830036 583932308 732866051 1021881539 1465732102 1907565487 2043763078 2931464204 3815130974 4087526156 5130062357 7630261948 10260124714 13352958409 20520249428 26705916818 53411833636 74019471151 141443147843 148038942302 282886295686 296077884604 518136298057 565772591372 990102034901 1036272596114 1980204069802 2072545192228 3960408139604 14285757932143 28571515864286 57143031728572 100000305525001 200000611050002 400001222100004