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144661644510 = 23547210121613
BaseRepresentation
bin1000011010111010000…
…0011000010011011110
3111211101201101221211120
42012232200120103132
54332231340111020
6150242345031410
713310564455425
oct2065640302336
9454351357746
10144661644510
11563947aa709
1224052a85566
13108455b3926
1470047b42bc
153b6a0de740
hex21ae8184de

144661644510 has 96 divisors (see below), whose sum is σ = 358260868512. Its totient is φ = 37380115200.

The previous prime is 144661644487. The next prime is 144661644527. The reversal of 144661644510 is 15446166441.

It is a super-2 number, since 2×1446616445102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6682464 + ... + 6704076.

It is an arithmetic number, because the mean of its divisors is an integer number (3731884047).

Almost surely, 2144661644510 is an apocalyptic number.

144661644510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144661644510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179130434256).

144661644510 is an abundant number, since it is smaller than the sum of its proper divisors (213599224002).

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

144661644510 is a wasteful number, since it uses less digits than its factorization.

144661644510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21818 (or 21771 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 144661644510 in words is "one hundred forty-four billion, six hundred sixty-one million, six hundred forty-four thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 101 141 202 235 282 303 470 505 606 705 1010 1410 1515 2209 3030 4418 4747 6627 9494 11045 13254 14241 21613 22090 23735 28482 33135 43226 47470 64839 66270 71205 108065 129678 142410 216130 223109 324195 446218 648390 669327 1015811 1115545 1338654 2031622 2182913 2231090 3047433 3346635 4365826 5079055 6094866 6548739 6693270 10158110 10914565 13097478 15237165 21829130 30474330 32743695 47743117 65487390 95486234 102596911 143229351 205193822 238715585 286458702 307790733 477431170 512984555 615581466 716146755 1025969110 1432293510 1538953665 3077907330 4822054817 9644109634 14466164451 24110274085 28932328902 48220548170 72330822255 144661644510