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1340515044304 = 243161103443971
BaseRepresentation
bin10011100000011100111…
…011000100101111010000
311202011002210112221200121
4103200130323010233100
5133430333322404204
62503454001400024
7165564132605152
oct23403473045720
94664083487617
101340515044304
11477566882687
12197973939014
1399543a9b637
1448c4a306ad2
1524d0ac47b54
hex1381cec4bd0

1340515044304 has 160 divisors (see below), whose sum is σ = 2760488460288. Its totient is φ = 629733312000.

The previous prime is 1340515044283. The next prime is 1340515044317. The reversal of 1340515044304 is 4034405150431.

It is a self number, because there is not a number n which added to its sum of digits gives 1340515044304.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1380550539 + ... + 1380551509.

Almost surely, 21340515044304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340515044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380244230144).

1340515044304 is an abundant number, since it is smaller than the sum of its proper divisors (1419973415984).

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

1340515044304 is a wasteful number, since it uses less digits than its factorization.

1340515044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 1340515044304 in words is "one trillion, three hundred forty billion, five hundred fifteen million, forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 61 62 103 122 124 206 244 248 412 443 488 496 824 886 971 976 1648 1772 1891 1942 3193 3544 3782 3884 6283 6386 7088 7564 7768 12566 12772 13733 15128 15536 25132 25544 27023 27466 30101 30256 45629 50264 51088 54046 54932 59231 60202 91258 100013 100528 108092 109864 118462 120404 182516 194773 200026 216184 219728 236924 240808 365032 389546 400052 430153 432368 473848 481616 730064 779092 800104 837713 860306 947696 1414499 1558184 1600208 1675426 1720612 1836161 2783369 2828998 3100403 3116368 3350852 3441224 3672322 5566738 5657996 6100793 6200806 6701704 6882448 7344644 11133476 11315992 12201586 12401612 13334743 13403408 14689288 22266952 22631984 24403172 24803224 26239333 26669486 29378576 44305759 44533904 48806344 49606448 52478666 53338972 86284439 88611518 97612688 104957332 106677944 172568878 177223036 189124583 209914664 213355888 345137756 354446072 378249166 419829328 690275512 708892144 756498332 813419323 1373478529 1380551024 1512996664 1626838646 2702651299 2746957058 3025993328 3253677292 5405302598 5493914116 6507354584 10810605196 10987828232 13014709168 21621210392 21975656464 43242420784 83782190269 167564380538 335128761076 670257522152 1340515044304