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1378744231410 = 2325713212949603
BaseRepresentation
bin10100000100000011100…
…011110110010111110010
311212210210001111212120100
4110010003203312113302
5140042132010401120
62533215241453230
7201416365413150
oct24040343662762
94783701455510
101378744231410
114917a41a1797
121a32627a1216
13a002700cb00
144aa356383d0
1525ce703e490
hex141038f65f2

1378744231410 has 144 divisors (see below), whose sum is σ = 4436223539904. Its totient is φ = 290899859328.

The previous prime is 1378744231393. The next prime is 1378744231411. The reversal of 1378744231410 is 141324478731.

1378744231410 is a `hidden beast` number, since 1 + 3 + 7 + 87 + 4 + 423 + 141 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1378744231411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6368332 + ... + 6581271.

It is an arithmetic number, because the mean of its divisors is an integer number (30807107916).

Almost surely, 21378744231410 is an apocalyptic number.

1378744231410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1378744231410 is an abundant number, since it is smaller than the sum of its proper divisors (3057479308494).

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

1378744231410 is a wasteful number, since it uses less digits than its factorization.

1378744231410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12949649 (or 12949633 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1378744231410 in words is "one trillion, three hundred seventy-eight billion, seven hundred forty-four million, two hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 106470 12949603 25899206 38848809 64748015 77697618 90647221 116546427 129496030 168344839 181294442 194244045 233092854 271941663 336689678 388488090 453236105 505034517 543883326 582732135 815824989 841724195 906472210 1010069034 1165464270 1178413873 1359708315 1515103551 1631649978 1683448390 2188482907 2356827746 2525172585 2719416630 3030207102 3535241619 4079124945 4376965814 5050345170 5892069365 6565448721 7070483238 7575517755 8158249890 10605724857 10942414535 11784138730 13130897442 15151035510 15319380349 17676208095 19696346163 21211449714 21884829070 30638760698 32827243605 35352416190 39392692326 45958141047 53028624285 65654487210 76596901745 91916282094 98481730815 106057248570 137874423141 153193803490 196963461630 229790705235 275748846282 459581410470 689372115705 1378744231410