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1340550004440 = 233547451352667
BaseRepresentation
bin10011100000011111000…
…000011011111011011000
311202011012020100002222110
4103200133000123323120
5133430421300120230
62503501250552320
7165565036012563
oct23403700337330
94664166302873
101340550004440
11477584590759
121979835986a0
139954b0bc1ca
1448c50c074da
1524d0dd514b0
hex1381f01bed8

1340550004440 has 128 divisors (see below), whose sum is σ = 4108205122560. Its totient is φ = 349789876224.

The previous prime is 1340550004433. The next prime is 1340550004447. The reversal of 1340550004440 is 444000550431.

It is an interprime number because it is at equal distance from previous prime (1340550004433) and next prime (1340550004447).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1340550004398 and 1340550004407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340550004447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25426987 + ... + 25479653.

It is an arithmetic number, because the mean of its divisors is an integer number (32095352520).

Almost surely, 21340550004440 is an apocalyptic number.

1340550004440 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 1340550004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054102561280).

1340550004440 is an abundant number, since it is smaller than the sum of its proper divisors (2767655118120).

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

1340550004440 is a wasteful number, since it uses less digits than its factorization.

1340550004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57241 (or 57237 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1340550004440 its reverse (444000550431), we get a palindrome (1784550554871).

The spelling of 1340550004440 in words is "one trillion, three hundred forty billion, five hundred fifty million, four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 4513 5640 9026 13539 18052 22565 27078 36104 45130 52667 54156 67695 90260 105334 108312 135390 158001 180520 210668 212111 263335 270780 316002 421336 424222 526670 541560 632004 636333 790005 848444 1053340 1060555 1264008 1272666 1580010 1696888 2106680 2121110 2475349 2545332 3160020 3181665 4242220 4950698 5090664 6320040 6363330 7426047 8484440 9901396 12376745 12726660 14852094 19802792 24753490 25453320 29704188 37130235 49506980 59408376 74260470 99013960 148520940 237686171 297041880 475372342 713058513 950744684 1188430855 1426117026 1901489368 2376861710 2852234052 3565292565 4753723420 5704468104 7130585130 9507446840 11171250037 14261170260 22342500074 28522340520 33513750111 44685000148 55856250185 67027500222 89370000296 111712500370 134055000444 167568750555 223425000740 268110000888 335137501110 446850001480 670275002220 1340550004440