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144444033734 = 271113241729851
BaseRepresentation
bin1000011010000110001…
…0010000101011000110
3111210211112221011222012
42012201202100223012
54331310133034414
6150205012534222
713302313012610
oct2064142205306
9453745834865
10144444033734
11562929894a0
1223bb2021372
131080c4a1860
146dc3929db0
153b55e5733e
hex21a1890ac6

144444033734 has 64 divisors (see below), whose sum is σ = 291038372352. Its totient is φ = 51924672000.

The previous prime is 144444033649. The next prime is 144444033803. The reversal of 144444033734 is 437330444441.

It is a junction number, because it is equal to n+sod(n) for n = 144444033691 and 144444033700.

It is a congruent number.

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, 4823909 + ... + 4853759.

It is an arithmetic number, because the mean of its divisors is an integer number (4547474568).

Almost surely, 2144444033734 is an apocalyptic number.

144444033734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

144444033734 is an abundant number, since it is smaller than the sum of its proper divisors (146594338618).

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

144444033734 is a wasteful number, since it uses less digits than its factorization.

144444033734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32301.

The product of its (nonzero) digits is 774144, while the sum is 41.

The spelling of 144444033734 in words is "one hundred forty-four billion, four hundred forty-four million, thirty-three thousand, seven hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 2417 4834 16919 26587 29851 31421 33838 53174 59702 62842 186109 208957 219947 328361 345631 372218 388063 417914 439894 656722 691262 776126 2298527 2419417 2716441 4268693 4597054 4838834 5432882 8537386 29880851 59761702 72149867 144299734 505049069 793648537 937948271 1010098138 1587297074 1875896542 5555539759 6565637897 10317430981 11111079518 13131275794 20634861962 72222016867 144444033734