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144541117644 = 223711193810517
BaseRepresentation
bin1000011010011101010…
…0100110110011001100
3111211002022121120001120
42012213110212303030
54332010011231034
6150222401440540
713304602141230
oct2064724466314
9454068546046
10144541117644
1156332769030
122401a640150
1310826633c61
146dd279c5c0
153b5e732c49
hex21a7526ccc

144541117644 has 96 divisors (see below), whose sum is σ = 422662442496. Its totient is φ = 37348577280.

The previous prime is 144541117631. The next prime is 144541117657. The reversal of 144541117644 is 446711145441.

It is an interprime number because it is at equal distance from previous prime (144541117631) and next prime (144541117657).

It is a super-2 number, since 2×1445411176442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 144541117596 and 144541117605.

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, 226927 + ... + 583590.

It is an arithmetic number, because the mean of its divisors is an integer number (4402733776).

Almost surely, 2144541117644 is an apocalyptic number.

144541117644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144541117644 is an abundant number, since it is smaller than the sum of its proper divisors (278121324852).

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

144541117644 is a wasteful number, since it uses less digits than its factorization.

144541117644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810735 (or 810733 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The spelling of 144541117644 in words is "one hundred forty-four billion, five hundred forty-one million, one hundred seventeen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 193 231 308 386 462 579 772 924 1158 1351 2123 2316 2702 4053 4246 5404 6369 8106 8492 12738 14861 16212 25476 29722 44583 59444 89166 178332 810517 1621034 2431551 3242068 4863102 5673619 8915687 9726204 11347238 17020857 17831374 22694476 26747061 34041714 35662748 53494122 62409809 68083428 106988244 124819618 156429781 187229427 249639236 312859562 374458854 469289343 625719124 748917708 938578686 1095008467 1720727591 1877157372 2190016934 3285025401 3441455182 4380033868 5162182773 6570050802 6882910364 10324365546 12045093137 13140101604 20648731092 24090186274 36135279411 48180372548 72270558822 144541117644