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1344091498428 = 2237192228719381
BaseRepresentation
bin10011100011110010000…
…110001010011110111100
311202111100001021122102110
4103203302012022132330
5134010144410422203
62505244521254020
7166051561142130
oct23436206123674
94674301248373
101344091498428
11479031679598
121985b1634310
1399993a26393
14490a92c73c0
1524e69c07d03
hex138f218a7bc

1344091498428 has 144 divisors (see below), whose sum is σ = 3784666389504. Its totient is φ = 363636397440.

The previous prime is 1344091498417. The next prime is 1344091498471. The reversal of 1344091498428 is 8248941904431.

It is a super-2 number, since 2×13440914984282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69341298 + ... + 69360678.

Almost surely, 21344091498428 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 1344091498428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892333194752).

1344091498428 is an abundant number, since it is smaller than the sum of its proper divisors (2440574891076).

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

1344091498428 is a wasteful number, since it uses less digits than its factorization.

1344091498428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21720 (or 21699 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1344091498428 in words is "one trillion, three hundred forty-four billion, ninety-one million, four hundred ninety-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1596 2166 2287 2527 4332 4574 5054 6861 7581 9148 10108 13722 15162 16009 19381 27444 30324 32018 38762 43453 48027 58143 64036 77524 86906 96054 116286 130359 135667 173812 192108 232572 260718 271334 304171 368239 407001 521436 542668 608342 736478 814002 825607 912513 1104717 1216684 1472956 1628004 1651214 1825026 2209434 2476821 2577673 3302428 3650052 4418868 4953642 5155346 5779249 6996541 7733019 9907284 10310692 11558498 13993082 15466038 17337747 20989623 23116996 27986164 30932076 34675494 41979246 44324347 48975787 69350988 83958492 88648694 97951574 132973041 146927361 177297388 195903148 265946082 293854722 310270429 531892164 587709444 620540858 842162593 930811287 1241081716 1684325186 1861622574 2526487779 3368650372 3723245148 5052975558 5895138151 10105951116 11790276302 16001089267 17685414453 23580552604 32002178534 35370828906 48003267801 64004357068 70741657812 96006535602 112007624869 192013071204 224015249738 336022874607 448030499476 672045749214 1344091498428