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144311820810 = 23519972610089
BaseRepresentation
bin1000011001100110100…
…1111010001000001010
3111210111100011001221020
42012121221322020022
54331022311231220
6150143531053310
713266116144313
oct2063151721012
9453440131836
10144311820810
1156225295a13
1223b758a1236
13107bac8ca61
146db015160a
153b4953d040
hex2199a7a20a

144311820810 has 64 divisors (see below), whose sum is σ = 368335900800. Its totient is φ = 36081856512.

The previous prime is 144311820773. The next prime is 144311820859. The reversal of 144311820810 is 18028113441.

It is a super-2 number, since 2×1443118208102 (a number of 23 digits) contains 22 as substring.

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, 1249755 + ... + 1360334.

It is an arithmetic number, because the mean of its divisors is an integer number (5755248450).

Almost surely, 2144311820810 is an apocalyptic number.

144311820810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144311820810 is an abundant number, since it is smaller than the sum of its proper divisors (224024079990).

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

144311820810 is a wasteful number, since it uses less digits than its factorization.

144311820810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610215.

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 144311820810 in words is "one hundred forty-four billion, three hundred eleven million, eight hundred twenty thousand, eight hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 97 114 190 194 285 291 485 570 582 970 1455 1843 2910 3686 5529 9215 11058 18430 27645 55290 2610089 5220178 7830267 13050445 15660534 26100890 39151335 49591691 78302670 99183382 148775073 247958455 253178633 297550146 495916910 506357266 743875365 759535899 1265893165 1487750730 1519071798 2531786330 3797679495 4810394027 7595358990 9620788054 14431182081 24051970135 28862364162 48103940270 72155910405 144311820810