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144311011400440 = 23531891113128321
BaseRepresentation
bin100000110100000000000110…
…100100100101101011111000
3200220221222221111202100222101
4200310000012210211223320
5122403342422404303230
61230531321410433144
742253061251422043
oct4064000644455370
9626858844670871
10144311011400440
1141a88a57834255
12142285358927b4
13626a6157244a1
14278c993d69c5a
1511a3cd96e7aca
hex834006925af8

144311011400440 has 32 divisors (see below), whose sum is σ = 324709960070160. Its totient is φ = 57722593996800.

The previous prime is 144311011400417. The next prime is 144311011400447. The reversal of 144311011400440 is 44004110113441.

It is a happy number.

It is a super-2 number, since 2×1443110114004402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144311011400399 and 144311011400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144311011400447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55288521 + ... + 57839800.

Almost surely, 2144311011400440 is an apocalyptic number.

144311011400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144311011400440 is an abundant number, since it is smaller than the sum of its proper divisors (180398948669720).

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

144311011400440 is a wasteful number, since it uses less digits than its factorization.

144311011400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113160223 (or 113160219 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144311011400440 its reverse (44004110113441), we get a palindrome (188315121513881).

The spelling of 144311011400440 in words is "one hundred forty-four trillion, three hundred eleven billion, eleven million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 31891 63782 127564 159455 255128 318910 637820 1275640 113128321 226256642 452513284 565641605 905026568 1131283210 2262566420 4525132840 3607775285011 7215550570022 14431101140044 18038876425055 28862202280088 36077752850110 72155505700220 144311011400440