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400014100410100 = 225211594401611791
BaseRepresentation
bin101101011110011111000101…
…0010111000010111011110100
31221110022222022102200011110221
41122330332022113002323310
5404412312334201110400
63534431535115424124
7150154031211301561
oct13274761227027364
91843288272604427
10400014100410100
11106503033376490
1238a454b4a55044
13142282248b4c97
1470acb001bb868
15313a440e97c1a
hex16bcf8a5c2ef4

400014100410100 has 72 divisors (see below), whose sum is σ = 946945611351936. Its totient is φ = 145459190400000.

The previous prime is 400014100410091. The next prime is 400014100410137. The reversal of 400014100410100 is 1014001410004.

It is a super-2 number, since 2×4000141004101002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653535205 + ... + 654146995.

It is an arithmetic number, because the mean of its divisors is an integer number (13152022379888).

Almost surely, 2400014100410100 is an apocalyptic number.

It is an amenable number.

400014100410100 is an abundant number, since it is smaller than the sum of its proper divisors (546931510941836).

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

400014100410100 is a wasteful number, since it uses less digits than its factorization.

400014100410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206217 (or 1206210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 400014100410100 its reverse (1014001410004), we get a palindrome (401028101820104).

The spelling of 400014100410100 in words is "four hundred trillion, fourteen billion, one hundred million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 594401 611791 1188802 1223582 2377604 2447164 2972005 3058955 5944010 6117910 6538411 6729701 11888020 12235820 13076822 13459402 14860025 15294775 26153644 26918804 29720050 30589550 32692055 33648505 59440100 61179100 65384110 67297010 130768220 134594020 163460275 168242525 326920550 336485050 653841100 672970100 363649182191 727298364382 1454596728764 1818245910955 3636491821910 4000141004101 7272983643820 8000282008202 9091229554775 16000564016404 18182459109550 20000705020505 36364918219100 40001410041010 80002820082020 100003525102525 200007050205050 400014100410100