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144673190769420 = 2232510321577361649
BaseRepresentation
bin100000111001010001011010…
…001001001111001100001100
3200222020121210102010121200100
4200321101122021033030030
5122430311143314110140
61231405540223331100
742321202351313505
oct4071213211171414
9628217712117610
10144673190769420
11421086126267a5
1214286772a50a90
13629581466a201
1427a231118bbac
1511ad435aed530
hex83945a24f30c

144673190769420 has 144 divisors (see below), whose sum is σ = 443124375220800. Its totient is φ = 38203082846208.

The previous prime is 144673190769379. The next prime is 144673190769433. The reversal of 144673190769420 is 24967091376441.

144673190769420 is a `hidden beast` number, since 1 + 4 + 4 + 67 + 3 + 1 + 90 + 7 + 69 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399856756 + ... + 400218404.

It is an arithmetic number, because the mean of its divisors is an integer number (3077252605700).

Almost surely, 2144673190769420 is an apocalyptic number.

144673190769420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144673190769420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221562187610400).

144673190769420 is an abundant number, since it is smaller than the sum of its proper divisors (298451184451380).

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

144673190769420 is a wasteful number, since it uses less digits than its factorization.

144673190769420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383344 (or 383339 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 144673190769420 in words is "one hundred forty-four trillion, six hundred seventy-three billion, one hundred ninety million, seven hundred sixty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 21577 43154 64731 86308 107885 129462 194193 215770 258924 323655 361649 388386 431540 647310 723298 776772 970965 1084947 1294620 1446596 1808245 1941930 2169894 2222431 3254841 3616490 3883860 4339788 4444862 5424735 6509682 6667293 7232980 8889724 10849470 11112155 13019364 13334586 16274205 20001879 21698940 22224310 26669172 32548410 33336465 37249847 40003758 44448620 65096820 66672930 74499694 80007516 100009395 111749541 133345860 148999388 186249235 200018790 223499082 335248623 372498470 400037580 446998164 558747705 670497246 744996940 1117495410 1340994492 1676243115 2234990820 3352486230 6704972460 7803300473 15606600946 23409901419 31213201892 39016502365 46819802838 70229704257 78033004730 93639605676 117049507095 140459408514 156066009460 234099014190 280918817028 351148521285 468198028380 702297042570 803739948719 1404594085140 1607479897438 2411219846157 3214959794876 4018699743595 4822439692314 7233659538471 8037399487190 9644879384628 12056099230785 14467319076942 16074798974380 24112198461570 28934638153884 36168297692355 48224396923140 72336595384710 144673190769420