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400542421311105 = 35891811931858433
BaseRepresentation
bin101101100010010101000110…
…0101111010101111010000001
31221112012111000000122201021220
41123010222030233111322001
5404444441334323423410
63535514351554105253
7150240143410665603
oct13304521457257201
91845174000581256
10400542421311105
111066970a578aa97
1238b0b97a57b229
1314265cb0288b38
1470ca4dc845173
1531490630ce070
hex16c4a8cbd5e81

400542421311105 has 64 divisors (see below), whose sum is σ = 651987353122560. Its totient is φ = 209946370867200.

The previous prime is 400542421311089. The next prime is 400542421311107. The reversal of 400542421311105 is 501113124245004.

It is not a de Polignac number, because 400542421311105 - 24 = 400542421311089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400542421311107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466167969 + ... + 467026401.

It is an arithmetic number, because the mean of its divisors is an integer number (10187302392540).

Almost surely, 2400542421311105 is an apocalyptic number.

It is an amenable number.

400542421311105 is a deficient number, since it is larger than the sum of its proper divisors (251444931811455).

400542421311105 is a wasteful number, since it uses less digits than its factorization.

400542421311105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860642.

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 400542421311105 its reverse (501113124245004), we get a palindrome (901655545556109).

The spelling of 400542421311105 in words is "four hundred trillion, five hundred forty-two billion, four hundred twenty-one million, three hundred eleven thousand, one hundred five".

Divisors: 1 3 5 15 89 181 267 445 543 905 1335 1931 2715 5793 9655 16109 28965 48327 80545 171859 241635 349511 515577 858433 859295 1048533 1747555 2575299 2577885 4292165 5242665 12876495 31106479 76400537 93319437 155376373 155532395 229201611 382002685 466129119 466597185 776881865 1146008055 1657634123 2330645595 4972902369 8288170615 13828497197 24864511845 41485491591 69142485985 147529436947 207427457955 300031776263 442588310841 737647184735 900095328789 1500158881315 2212941554205 4500476643945 26702828087407 80108484262221 133514140437035 400542421311105