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1344007700112 = 2437112811294087
BaseRepresentation
bin10011100011101101000…
…110011111111010010000
311202111010012121020202010
4103203231012133322100
5134010011432400422
62505232325222520
7166046522646150
oct23435506377220
94674105536663
101344007700112
11478a99343690
12198589561a40
139997c56618c
144909c112760
1524e626a3b0c
hex138ed19fe90

1344007700112 has 160 divisors (see below), whose sum is σ = 4344160241664. Its totient is φ = 347850316800.

The previous prime is 1344007700083. The next prime is 1344007700129. The reversal of 1344007700112 is 2110077004431.

It is a self number, because there is not a number n which added to its sum of digits gives 1344007700112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391533 + ... + 1685619.

Almost surely, 21344007700112 is an apocalyptic number.

1344007700112 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 1344007700112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172080120832).

1344007700112 is an abundant number, since it is smaller than the sum of its proper divisors (3000152541552).

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

1344007700112 is a wasteful number, since it uses less digits than its factorization.

1344007700112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294397 (or 1294391 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 1344007700112 in words is "one trillion, three hundred forty-four billion, seven million, seven hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 281 308 336 462 528 562 616 843 924 1124 1232 1686 1848 1967 2248 3091 3372 3696 3934 4496 5901 6182 6744 7868 9273 11802 12364 13488 15736 18546 21637 23604 24728 31472 37092 43274 47208 49456 64911 74184 86548 94416 129822 148368 173096 259644 346192 519288 1038576 1294087 2588174 3882261 5176348 7764522 9058609 10352696 14234957 15529044 18117218 20705392 27175827 28469914 31058088 36234436 42704871 54351654 56939828 62116176 72468872 85409742 99644699 108703308 113879656 144937744 170819484 199289398 217406616 227759312 298934097 341638968 363638447 398578796 434813232 597868194 683277936 727276894 797157592 1090915341 1195736388 1454553788 1594315184 2181830682 2391472776 2545469129 2909107576 4000022917 4363661364 4782945552 5090938258 5818215152 7636407387 8000045834 8727322728 10181876516 12000068751 15272814774 16000091668 17454645456 20363753032 24000137502 28000160419 30545629548 32000183336 40727506064 48000275004 56000320838 61091259096 64000366672 84000481257 96000550008 112000641676 122182518192 168000962514 192001100016 224001283352 336001925028 448002566704 672003850056 1344007700112