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1340029796352 = 235313
BaseRepresentation
bin10011100000000000000…
…000000000000000000000
311202002211222110210122020
4103200000000000000000
5133423340111440402
62503333505041440
7165546121222122
oct23400000000000
94662758423566
101340029796352
11477337981715
12197859326280
13994973b0080
1448c01ab1212
1524ccd3458bc
hex13800000000

1340029796352 has 144 divisors (see below), whose sum is σ = 3848290697160. Its totient is φ = 412316860416.

The previous prime is 1340029796321. The next prime is 1340029796359. The reversal of 1340029796352 is 2536979200431.

It is a super-2 number, since 2×13400297963522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1340029796295 and 1340029796304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340029796359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103079215098 + ... + 103079215110.

Almost surely, 21340029796352 is an apocalyptic number.

1340029796352 is a gapful number since it is divisible by the number (12) 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 1340029796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924145348580).

1340029796352 is an abundant number, since it is smaller than the sum of its proper divisors (2508260900808).

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

1340029796352 is an frugal number, since it uses more digits than its factorization.

1340029796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 1340029796352 in words is "one trillion, three hundred forty billion, twenty-nine million, seven hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 16384 19968 24576 26624 32768 39936 49152 53248 65536 79872 98304 106496 131072 159744 196608 212992 262144 319488 393216 425984 524288 638976 786432 851968 1048576 1277952 1572864 1703936 2097152 2555904 3145728 3407872 4194304 5111808 6291456 6815744 8388608 10223616 12582912 13631488 16777216 20447232 25165824 27262976 33554432 40894464 50331648 54525952 67108864 81788928 100663296 109051904 134217728 163577856 201326592 218103808 268435456 327155712 402653184 436207616 536870912 654311424 805306368 872415232 1073741824 1308622848 1610612736 1744830464 2147483648 2617245696 3221225472 3489660928 4294967296 5234491392 6442450944 6979321856 8589934592 10468982784 12884901888 13958643712 17179869184 20937965568 25769803776 27917287424 34359738368 41875931136 51539607552 55834574848 83751862272 103079215104 111669149696 167503724544 223338299392 335007449088 446676598784 670014898176 1340029796352